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1. A charged particle q is shot towards another charged particle Q, which is fixed, with a speed approaches Q up to a closest distance r and then returns. If q is shot with speed 2v, the closest distance of approach would be

a) r

4 b)

r

2 c) 2r

2. Two conducting spheres of radii 3 cm and 1 cm are separated by a distance of 10 cm in free space. If the spheres are charged to same potential of 10 V each, the force of repulsion between them is

a) 91

10 N3

−×

c) 91

10 N9

−×

e) 92

10 N3

−×

3. Force between two identical charges placed at a distance of r in vacuum is F. Now a slab of dielectric of dielectric constant 4 is inserted between these two charges. If the thickness of the slab is r/2, then the force between the charges will become

a) F b) 3

5

d) F

4 e)

F

2

4. Which one of the following graphs represents the variation of electric field with distance r from the centre of a charged spherical conductor of radius R?

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A charged particle q is shot towards another charged particle Q, which is fixed, with a speed v. It approaches Q up to a closest distance r and then returns. If q is shot with speed 2v, the closest distance

c) 2r d) r e) 3

2r

conducting spheres of radii 3 cm and 1 cm are

separated by a distance of 10 cm in free space. If the spheres are charged to same potential of 10 V each, the force of repulsion between them is

b) 92

10 N9

−×

d) 94

10 N3

−×

Force between two identical charges placed at a distance of r in vacuum is F. Now a slab of dielectric

ielectric constant 4 is inserted between these two charges. If the thickness of the slab is r/2, then the force between the charges will become

3F

5 c)

4F

9

F

2

Which one of the following graphs represents the variation of electric field with distance r from the centre of a charged spherical conductor of radius R?

5. Charges +2q, +q and +q are placed at the corners A, B and C of an equilateral triangle ABC. Ielectric field at the circumcentre O of the triangle, due to the charge +q, then the magnitude and direction of the resultant electric field at O isa) E along AOc) E along BO

6. A dipole of electric dipole moment p is placed in a uniform electric field of strength E. If between positive directions of p and E, then the potential energy of the electric dipole is largest, when θ is

a) 4

π

7. Small drops of the same size are charged toeach. If n such drops coalesce to form a single large drop, its potential will bea) Vn

8. Three charges Qvertices of an isosceles right angle triangle as in the figure. The net electrostatic potential energy is zero if Q0 is equal to

a) q

49. Electric charge is uniformly distributed along a long

straight wire of radius 1 mm. The charge per cm length of the wire is Q coulomsurface of radius 50 cm and length 1 m symmetrically encloses the wire. The total electric flux passing through the cylindrical surface is

a) Q

ε

d) 100Q

10. .The energy stored in a capacitor of capacitance C having a charge Q under a potential V is

a) 1

2

d) 1

2

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Charges +2q, +q and +q are placed at the corners A, B and C of an equilateral triangle ABC. If E is the electric field at the circumcentre O of the triangle, due to the charge +q, then the magnitude and direction of the resultant electric field at O is

a) E along AO b) 2E along AO

c) E along BO d) E along CO e) zeroA dipole of electric dipole moment p is placed in a uniform electric field of strength E. If θ is the angle between positive directions of p and E, then the potential energy of the electric dipole is largest, when

4

π b)

2

π c) π d) zero e)

2

3Small drops of the same size are charged to V each. If n such drops coalesce to form a single large drop, its potential will be

Vn b) V/n c) Vn1/3 d) Vn2/3 e) VnThree charges Q0, −q and –q are places at the vertices of an isosceles right angle triangle as in the figure. The net electrostatic potential energy is zero if

is equal to

q

4 b)

32

2q c) 2q d) +q e)

Electric charge is uniformly distributed along a long straight wire of radius 1 mm. The charge per cm length of the wire is Q coulomb. Another cylindrical surface of radius 50 cm and length 1 m symmetrically encloses the wire. The total electric flux passing through the cylindrical surface is

0

Q

ε b)

0

100Q

ε c)

10Q

πε

0

100Q

πε e)

0

Q

100ε

The energy stored in a capacitor of capacitance C having a charge Q under a potential V is

21

2Q V b)

21

2C V c)

1

2

1

2QV e)

1

2CV

Time : 2½ Hours

Charges +2q, +q and +q are placed at the corners A, f E is the

electric field at the circumcentre O of the triangle, due to the charge +q, then the magnitude and

e) zero A dipole of electric dipole moment p is placed in a

is the angle between positive directions of p and E, then the potential energy of the electric dipole is largest, when

2

3π

V volt each. If n such drops coalesce to form a single large

Vn1/2

q are places at the vertices of an isosceles right angle triangle as in the figure. The net electrostatic potential energy is zero if

2

q

Electric charge is uniformly distributed along a long straight wire of radius 1 mm. The charge per cm

b. Another cylindrical surface of radius 50 cm and length 1 m symmetrically encloses the wire. The total electric flux passing

0

10Q

πε

The energy stored in a capacitor of capacitance C

21

2

Q

V

11. The plates of a parallel plate capacitor with air as medium are separated by a distance of 8 mm. A medium of dielectric constant 2 and thickness 4 mm having the same area is introduced between the plates. For the capacitance to remain the same , the distance between the plates is

a) 8 mm b) 6mm c) 4 mm

d) 12 mm e) 10mm 12. A network of six identical capacitors, each of value

C, is made as shown in the figure. The equivalent capacitance between the points A and B is

a) 4

11

C b)

3

11

C c)

3

11

C

d) 3C e) 4

3

C

13. Find the true statement

a) Ohm`s law is applicable to all conductors of electricity

b) In an electrolyte solution , the electric current is mainly due to the movement of electrons

c) The resistance of an incandescent lamp is lesser when the lamp is switched on

d) Specific resistance of a wire depends upon its dimension e) The resistance of carbon decreases with the increase of temperature

14. The drift velocity of the electrons in a copper wire of length 2m under the application of a potential difference of 220V is 0.5 ms-1.Their mobility (in m2V-1 s-1 ) a) 2.5 ×10-3 b) 2.5 ×10-2 c) 5 ×102 d) 5× 10-3 e) 5 ×10-2

15. Two different conductors have same resistance 00C . It is found that the resistance of the first conductor at t1

0C is equal to the resistance of the second conductor at t2

0C. The ratio of the temperature

coefficients of resistance of the conductors , 1

1

αα

is

a) 1

2

t

t b) 2 1

2

t t

t

−

c) 2 1

2

t t

t

− d) 2

1

t

t

e) 2

1 1

t

t t− 16. In a closed circuit , the current I ( ampere ) at an

instant of time t ( in sec) is give by I = 4 - 0.08 t. The number electrons flowing in 50s through the cross section of the conductor is a) 1.25 ×1019 b) 6.25 × 1020 c) 5.25 × 1019 d) 2.55 ×1020 e) 4.25 ×1020

17. The plot represents the flow of current thorough a wire at three difference times. The ratio of charges flowing through the wire at different times is

a) 2:1:2 b) 1:3:3 c) 1:1:1 d) 2:3:4 e) 2:3:3

18. In the figure shown below, the terminal voltage across E2 is

a) 12 V b) 12. 66 V c) 11.34 V d) 11.66 V e) 12.33 V

19. Two identical cells send the same current in 3 Ω resistance, whether connected in series or in parallel. The internal resistance on the cell should be a) 1Ω b) 3 Ω

c) 1

2 Ω d) 3.5 Ω e)

3

2 Ω

20. In a potentiometer experiment , when three cells A,B

and C are connected in series the balancing length is found to be 740 cm. If A and B are connected in series balancing length is 440 cm and for B and C connected in series that is 540cm. Then , the emf of EA, EB and EC are respectively (in volts ) a) 1,1.2 and 1.5 b) 1,2 and 3 c) 1,5,2 and 3 d) 1.5,2.5 and 3.5 e) 1.2,1.5 and 3.5

21. The resistance of a galvanometer is 50 Ω and it shows full scale deflection for a current of 1 mA. To convert it into a voltmeter to measure 1V and as well as 10V (refer circuit diagram ) the resistance R1 and R2 respectively are

a) 950 Ω and 9150 Ω b) 900 Ω and 9950 Ω c) 900 Ω and 9900 Ω d) 950 Ω and 9000 Ω e) 950 Ω and 9950 Ω

22. A galvanometer of resistance 20Ω shows a deflection of 10 divisions when a current of 1mA is passed through it. If a shunt of 4 Ω is connected and there are 50 divisions on the scale, the range of the galvanometer is a) 1A b) 3A c) 10mA d) 30A e) 30mA

23. When two resistances R1 and R2 connected in series , they consume 12 W power. When they are connected in parallel, they consume 50W power. What is the ratio of power of P1 and P2? a) 1/4 b) 4 c) 3/2 d) 4 e) 1

24. The magnitude of the magnetic field inside a long solenoid is increased by a) decreasing its radius b) decreasing the current through it c) increasing its area of cross –section d) introducing a medium of higher permeability e) decreasing the number of turns in it

25. A current I enters a circular coil of radius R, branches into two parts and then recombines as shown in the circuit diagram

The resultant magnetic field at the centre of the coil is

a) Zero b) 0

2

I

R

µ

c) 03

4 2

I

R

µ

d) 01

4 2

I

R

µ

e) 01

2 2

I

R

µ

26. Two long parallel wires carry currents i1 and i2 such that i1>i2 . When the currents are in the same direction , the magnetic field at a point midway between the wires is 6×10-6 T. If the direction i2 is

reversed, the field becomes 3×10-5 T. The ratio 1

2

i

iis

a) 1

2 b) 2 c)

2

3 d)

3

2 e)

1

5 27. If the radius of the dees of cyclotron is r, then the

kinetic energy of a proton of mass m accelerated by the cyclotron at an oscillating frequency ʋ is a) 4π2m2 ʋ 2r2 b) 4π2m ʋ 2r2 c) 2π2m ʋ 2r2 d) π2m ʋ 2r2 e) π2m2 ʋ 2r2

28. Two particles of equal charges after being accelerated through the same potential difference enter a uniform transverse magnetic field and describe circular path of radii R1 and R2 respectively. Then the ratio of their masses (M1/M2) is

a) 1

2

R

R b)

2

1

2

R

R

c) 2

1

R

R d)

2

2

1

R

R

e)

1/2

1

2

R

R

29. If a magnetic dipole of moment M situated in the direction of a magnetic field B is rotated by 1800, then the amount of work done is

a) MB b) 2MB c) 2

MB

d) Zero e) MB 30. The force between two parallel current carrying wires

is independent of a) their distance of separation b) the length if the wires c) the magnitude of the currents d) the radii of the wires e) the medium in which they are placed

31. An electron moving around the nucleus with an angular momentum ‘l’ has a magnetic moment

a) e

lm

b) 2

el

m

c) 2e

lm

d) 2

el

mπ e)

4

el

mπ 32. A conducting rod of 1m length and 1 kg mass is

suspended by two vertical wires through its ends. An external magnetic field of 2T is applied normal to the rod. Now the current to be passed through the rod so as to make the tension in the wires zero is (take , g =10 ms-2) a) 0.5 A b) 15A c) 5A d) 1.5 A e) 2.5 A

33. A coil of 100 turns and area 2× 10-2 m2, pivoted about a vertical diameter in a uniform magnetic field carries a current of 5A. When the coil is held with its plane in North –South direction, it experiences a torque of 0.3 N-m. When the plane is in East –West direction the torque is 0.4 N-m .The value of magnetic induction is ( Neglect earth`s magnetic field ) a) 0.2T b) 0.3T c) 0.4T d) 0.1 T e) 0.05T

34. A magnetic needle lying parallel to a magnetic field requires W units of work to turn it through 600. The torque required to keep the needle in this position will be a) 2W b) W

c) 3

W d)

3

W e) 3W

35. Two identical magnetic dipoles of magnetic moment 2Am2 are placed at a separation of 2m with their axis perpendicular to each other in air. The resultant magnetic field at a mid point between the dipoles is a) 4√5×10-5 T b) 2√5×10-5 T c) 4√5×10-7 T d) 2√5×10-7 T e) 4√2×10-7 T

36. The angle of dip at a place is 370 and the vertical component of the earth`s magnetic field is 6×10-5 T. The earth`s magnetic field at this place is (tan 370=3/4) a) 7×10-5 T b) 6 ×10-5T c) 5×10-5T d) 10-4T e) 4 ×10-5T

37. Electromagnets are made of soft iron has a) low susceptibility and low retentivity b) low susceptibility and high retentivity c) high permeability and low retentivity d) high permeability and high coercivity e) low permeability and low retentivity

38. Which one of the following characteristics is not associated with a ferromagnetic material a) It is strongly attracted by a magnet b) It tends to move from a region of strong magnetic field to a region of low magnetic field c) Its origin is the spin of electrons d) Above the Curie temperature , it exhibits paramagnetic properties e) Its magnetic susceptibility is large and positive

39. A paramagnetic substance of susceptibility 3×10-4 is placed in a magnetic field of 4 × 10-4 Am-1 . Then, the intensity of magnetization in the unit of Am-1 is a) 1.33 ×108 b) 0.75 × 10-8 c) 12 ×10-8 d) 14 ×10-8 e) 1.2 ×10-8

40. At a temperature of 300C , the susceptibility of a ferromagnetic materials is found to be λ. Its susceptibility at 3330C is a) λ b) 0.5λ c) 2λ d) 11.1 λ e) 0.09λ

41. (n-1)d10 ns2 is the general electronic configuration of a) Fe, Co, Ni b) Cu, Ag, Au c) Zn, Cd, Hg d) Se, Y, La e) All of these

42. The complex that has highest crystal field splitting energy (∆ ) is a) K3[Co(CN)6] b) [Co(NH3)5(H2O)]Cl3 c) K2[CoCl4] d) [Co(NH3)5Cl]Cl2

43. Pt(H2)| 0.01M H+ | | 0.1M H+| Pt (H2). If Ecell = 0.0V

then xy

is,

a) 100 b) 10 c) 0.01 d) 0.1 e) 1000 44. Identify the correct order of solubility of Na2S, CuS

and ZnS in aqueous medium a) CuS > ZnS > Na2S b) ZnS > Na2S > CuS c) Na2S >CuS > ZnS d) Na2S > ZnS > CuS

45. The element with Z =120 (not yet discovered) will be an/a a) transition metal b) inner – transition metal c) alkaline carth metal d) alkalimetal e) Noble gas

46. The transition element that has lowest enthalpy of atomisation is a) Zn b) Cu c) V d) Fe e) Mn

47. Wilkinson catalyst is a) [(Pb3P)3RhCl] b) [(Et3P)3IrCl] c) [(Et3P)3RhCl] d) [(Pb3P)3IrCl] e) None of these

48. Two complexes

A) [Cr(H2O)6Cl3] and B) [Cr(NH3)6]Cl3 are violet and yellow coloured respectively. The incorrect statement regarding then is : a) ∆0

value of (A) is less than that of (B) b) ∆0

value of (A) and (B) are calculated from the energies of violet and yellow light respectively. c) Both absorbs energies corresponding to their complementary colours d) Both are paramagnetic with three unpaired electrons e) None of these

49. The highest value of the calculated spin only magnetic moment (in BM) among all the transition metal complex is: a) 5.92 b) 3.67 c) 6.93 d) 4.90

50. The ore that contains both iron and copper is a) malachite b) Dolomite c) azusite d) copperpyrites e) Chalcopyrite

51. The reaction that does not define calcinations is:

a) ZnCO3 ∆→ ZnO + CO2

b) Fe2O3 xH2O ∆→ Fe2O3 +xH2O

c) CaCO3. MgCO3 ∆→ CaO + MgO +2CO2

d) 2Cu2S +3O2 ∆→ 2Cu2O +2SO2

e) All of these 52. The standard electrode potential E0 and its

temperature co-efficient 0dE

dt

for a cell are 2V and

-5×10-4vk-1 at 300 K respectively. The cell reaction is

Zn(s) + Cu2(aq)

+ → Zn2(aq)

++Cu(s)

The standard reaction ( )0

cH∆ at 300 K in KJ/mol is

a) – 412.8 b) – 384.0 c) 206.4 d) 192.0 53. If the standard electrode potential for a cell is 2V.at

300K, the equilibrium constant (k) for the reaction

Zn(s)+Cu2(aq)

+ Zn

2(aq)

++Cu(s) at 300 K is

approximately. (R = 8 JK-1 mol-1, F = 96000 C mol-1) a) e160 b) e320 c) e-160 d) e-80

54. The total number of isomers for a square planar complex [M(F)(Cl)(SCN) (NO2)]is: a) 12 b) 8 c) 16 d) 4 e) 10

55. Hall – Heroult’s process is given by a) Cr2O3 +2Al →Al 2O3 +2Cr

b) Cu2(aq)

++H2(g) →Cu(s) +2H (aq)

+

c) ZnO+C Coke,1673K→ Zn + CO d) 2Al2O3 +3C →4Al +3CO2

e) None of these 56. Larger number of oxidation states are exhibited by

the actinoids than those by the lanthanoids, the main reason being a) lesser energy difference between 5f and 6d than between 4f and 5d orbitals b) more energy difference between 5f and 6d than between 4f and 5d orbitals c) more reactive nature of the actinoids than the lanthanoids d) 4f orbitals are more diffused than the 5f orbitals

57. The element that usually does not show variable oxidation state is a) V b) T c) Sc d) Cu e) Cr

58. Match the ores (column A) with the metals (Column B) Column A Column B (I) Siderite (a) Zinc (II) Kaolitite (b) Copper (III) Malachite (c) Iron (IV) Calamine (d) Aluminium a) I – b ; II – c; IV – a ; III – d b) I – c ; II – d; III – a ; IV – b c) I – c ; II – d; III – b ; IV – a d) I – a ; II – b; III – c ; IV – d e) I – c ; II – b; III – a ; IV – d

59. The coordination number of ‘Th’ in K4[Th(C2O4)4(H2O)2] is a) 6 b) 10 c) 14 d) 8 e) 12

60. The anodic half – cell of lead – acid battery is recharged using electricity of 0.05 faraday. The amount of PbSO4 electrolysed in g during the process in : (Molar mass of PbSO4 = 303 g/mol). a) 22.8 b) 15.2 c) 7.6 d) 11.4

61. Consider the following reduction processes: Zn2+ +2e- →Zn(s) ; E

0 = -0.76 V Ca2+ + 2e- →Ca(s) ; E

0 = -2.87 V Mg2+ +2e- →Mg(s) ; E

0 = -2.36 V Ni2+ +2e- →Ni(s) ; E

0 = -0.25 V The reducing power of the metals increases in the order: a) Ca < Zn < Mg < Ni b) Ni < Zn < Mg < Ca c) Zn < Mg < Ni < Ca d) Ca< Mg < Zn < Ni e) Zn < Ni < Mg < Ca

62. In the cell H2(g) Pt(s) | H2(g), (1 bar) HCl(aq)|Ag(s) |Pt(s) the cell potential is 0.92 when a 10-6 molal HCl solution is used. The standard electrode potential of (AgCl/Ag,Cl-) electrode is:

Given, 2.303RT

T= 0.06 V at 298 K

a) 0.20 V b) 0.76 V c) 0.40 V d) 0.94 V

63. For the cell Zn(s) |Zn2(aq)

+|| M x

(aq)

+

|M(s) , different half

cells and their standard electrode potentials are given below:

Mx(aq)

+

|M(s

Au3(aq)+

|Au(s)

Ag (aq)+

|Ag(s)

Fe3(aq)+

|Fe

4(aq)

Fe2(aq)

+

|F(n)

E x

0

M + |M 1.40 0.80 0.77 -0.44

If E 2

0

zn + /Zn = - 0.76 V, which cathode will give a

maximum value of E0cell per electron transferred?

a) Fe3+/ Fe2+ b) Ag+ /Ag c) Ag3+/Au d) Fe2+/Fe e) All of these

64. In the Hall – Heroult process, aluminium is formed at the cathode. The cathode is made of: a) platinum b) carbon c) aluminium d) copper e) zinc

65. In for NaCl, HCl and NaA are 126.4 425.9 and 100.5 scm2mol-1, respectively. if the conductivity of 0.001 M HA is 5×10-5 scm-1, degree of dissociation of HA is a) 0.75 b) 0.125 c) 0.25 d) 0.50

66. Transition metal with low oxidation number will act as a) a base b) an acid c) an oxidising agent d) None of these e) An reducing agent

67. Which of the following pair will have effective magnetic moment equal a) Cr3+ and Mn2+ b) Cr2+ & Fe2+ c) V2+ and Sc2+ d) Ti2+ & V 2+

e) Mn2+ and Te2+ 68. Which transition metal reduces steam to evolve

hydrogen a) Ni b) Fe c) Sc d) Pt

69. KMnO4 reacts with ferrous sulphate according to the equation.

MnO 4− + 5Fe2+ +8H+ → Mn2+ +5Fe3+ +4H2O

Here 10 mL of 0.1 M KMnO4 is equivalent to a) 20 mL of 0.1 M FeSO4 b) 30 mL of 0.1 M FeSO4 c) 40 mL of 0.1 M FeSO4 d) 50 mL of 0 M FeSO4

e) 10 mL of 0.1 M KMnO4 70. The basic character of the transition metal –

monoxide follow the order a) TiO > VO > CrO > FeO b) VO > CrO > TiO> FeO c) CrO > VO > FeO > TiO d) TiO > FeO> VO > CrO e) FeO > CaO > VO > TiO

71. Among the following the compound that is both paramagnetic and coloured is a) K2Cr2O7 b) (NH4)2TiCl6 c) VOSO4 d) K3[Cu(N)4]

72. Arrange Ce3+, La3+, Pm3+ and Yb3+ is increasing order of their ionic radii a) Yb3+ < Pm3+ < Ce3+ < La3+ b) Ce3+ < Yb3+ < Pm3+ < La3+ c) Yb3+ < Pm3+ < La3+ < Ce3+ d) Pm3+ < La3+ < Ce3+< Yb3+

e) Ce3+< Pm3+ < La3+ < Yb3+ 73. In vapour state Cu(NO3)2 and Cu2(CH3COO)4. 2H2O

exist as: a) Dimer, Monomer b) Monomer, Dimer c) Monomer, Monomer d) Dimmer, Dimer

74. The standard oxidation potentials for Mn3+ ion in acid solution are

Mn2+ →− V5.1 Mn3+ →− V0.1 MnO2. Is the reaction 2Mn3+ + 2H2O → Mn2+ + MnO2 + 4H+ spontaneous under conditions of unit activity? What is the change in free energy? a) Spontaneous, - 48250 J b) Non-spontaneous, + 48250 J c) No change in free energy d) Spontaneous, - 96500J I

75. AgNO3(aq) was added to an aqueous of KCl gradually and the conductivity of the solution was measured. The plot of conductance Vs volume of AgNO3 is

76. Water gas is used in the extraction of :

a) Ni b) Fe c) Ti d) None 77. Which of the following processes involves the

roasting process? a) ZnCO3→ ZnO+CO2 b) Fe2O3+3C→2Fe+3CO c) 2PbS+3O2 →2PbO+2SO2 d) Al2O3.2H2O →Al 2O3+2H2O

78. German silver is mixture of a) Zn, Cu,Fe b) Ni, Zn, Cu c) Ni, Fe, Cu d) Ni, Fe, Zn

79. In the preparation of potassium permanganate, purolusite (MnO2) is first converted to potassium manganate (K2MnO4). In this conversion, the oxidation state of manganese changes from a) + 1 to +3 b) +2 to +4 c) +3 to +5 d) + 4 to +6

80. If 2+Fe /FeE is x1, 3+Fe /Fe

E is x2 then 3+ 2+Fe /FeE will be,

a) 3x2 – 2x1 b) x2 – x1 c) x2 + x1 d) 2x1 + 3x2 e) 2x2 – x1

81. If A and B are square matrices of order 3 such that | A | = - 1, | B | = 3, then | 3 AB | equals a) – 9 b) – 81 c) – 27 d) 81

82. The roots of the equation

1 2 3

0 2 0 0

0 2 3

x

x are

x

−− =

−

a) 1, - 2 b) 2, 3 c) 1, 3 d) 1, 2, 3

83. Value of ∆ = 2

2

1 1 1

1

1

ω ωω ω

is

a) 3 3i b) – 3 3i c) - 3i d) 3 i 84. If a matrix A is such that 3A3 + 2A2 +5A+I = O,

then its inverse is a) – (3A2 +2A +5I ) b) 3A2 +2A +5I

c) 3A2 -2A - 5I d) None of these 85. The number of solutions of 2x + y = 4, x – 2y =

2, 3x + 5y = 6 is a) 0 b) 1 c) 2 d) infinitely many

86. If

2

2

2

a ab ac

ab b bc

ac bc c

−−

− = λ a2b2c2, then the value

of λ is a) 1 b) 2 c) 4 d) 3

87. The value of k for which the system of equations x – ky + z = 0, kx + 3y - kz = 0 and 3x + y – z = 0 has no trivial solution a) k = - 3 or 2 b) k = 3 or k = - 2 c) k = 0 or 1 d) any value of k

88. If f (x) =

1 1

2 ( 1) ( 1)

3 ( 1) 2( 1)( 2) ( 1) ( 1)

x x

x x x x x

x x x x x x x

+− +

− − − + −

then f (100) is equal to a) 0 b) 1 c) 100 d) – 100

89. If the direction cosines of a vector of

magnitude 3 are 2 2

, , 03 3 3

aand a

− > , then the

vector is

a) ˆ ˆ ˆ2i + j+ 2k b) ˆ ˆ ˆ2i - j+ 2k

c) ˆ ˆ ˆi - 2j+ 2k d) ˆ ˆ ˆi + 2j+ 2k e) ˆ ˆ ˆi + 2j - 2k 90. The angle between a normal to the plane

2x- y+2z – 1 = 0 and the Z – axis is

a) 1 1cos

3−

b) 1 2sin

3−

c) 1 2cos

3−

d) 1 1sin

3−

e) 1 3sin

5−

91. If a line makes angles α, β, γ and δ with four diagonals of a cube, then the value of sin2

α+ sin2 β+sin2

γ+ sin2δ is

a)4

3 b)

8

3 c)

7

3 d)1

92. The point in the XY – plane which is equidistant from the points (2,0,3), (0,3,2) and (0,0,1) is a) (1,2,3) b) (−3,2,0) c) (3, −2,0) d) (3,2,0) e) (3,2,1)

93. If the lines 1 2 3 1 61

3 2 2 3 5

x y z x zand y

α α− − − − −= = = − = are

perpendicular, then the value of α is

a) 10

7

− b)

10

7

c) 10

11

− d)

10

11 e)

10

9

94. If λ ˆ ˆ ˆ(3i + 2j - 6k) is a unit vector , then the values of λ are

a) 1

7± b) 7± c) 43±

d) 1

43± e)

1

7±

95. If the scalar product of the vector ˆ ˆ ˆi + j+ 2k

with the unit vector along ˆ ˆ ˆmi + 2j+ 3k is equal to 2, then one of the values of m is a)3 b)4 c)5 d)6

96. A unit vector in the XOY – plane that makes

an angle 300 with the vector ˆi + j and makes an

angle 600 withˆ ˆi - j is

a) 1 ˆ ˆ[( 6 2)i ( 6 2) j]4

+ − −

b) 1 ˆ ˆ[( 6 2)i ( 6 2) j]2

− − +

c) 1 ˆ ˆ[( 6 2)i ( 6 2) j]4

− − +

d) 1 ˆ ˆ[( 6 2)i ( 6 2) j]3

+ − −

e) 1 ˆ ˆ[( 6 2)i + ( 6 2) j]4

+ −

97. If .a b

= 0 and a b+

makes an angle of 600 with a

then

a) a = 2 b

b) 2 a = b

c) a = 3 b

d) 3 a = b

98. If ˆ ˆ ˆ ˆ ˆ ˆi + j, j + k and i + k are the position vectors of the vertices of a ∆ ABC taken in order, then ∠A is equal to a) π/2 b) π/5 c) π/6 d) π/4 e) π/3

99. The AM of 9 terms is 15. If one more terms is added to this series , then the AM becomes 16. The value of the added term is a) 30 b) 27 c)25 d)23 d)20

100. If the median of , , , , ( 0)5 4 3 2

x x x xx x> is 8, then

the value of x is a) 24 b)32 c)8 d)16 d) 40

101. The mean of the values 0,1,2,3,…. n with the corresponding weights nC0,

nC1, nC2,…

nCn respectively , is

a)1

2

n+ b)

1

2

n− c)

2 1

2

n −

d) 2 1

2

n + e)

2

n

102. The average of the four digit numbers that can be formed using each of the digits 3,5,7 and 9 exactly once in each number, is a) 4444 b) 5555 c) 6666 d) 7777 e) 8888

103. If 9

1

( 5) 9ii

x=

− =∑ and 9

2

1

( 5) 45ii

x=

− =∑ , then the

standard deviation of the 9 times x1, x2,…, x9 is a) 9 b) 4 c) 3 d) 2 e) 1

104. The standard deviation of 9,16,23,30,37,44,51 is a) 7 b)9 c)12 c)14 d)16

105. An experiment can result in only 3 mutually exclusive events A,B and C.If P(A)=2P(B) = 3P(C), then P (A) =

a) 6

11 b)

5

11 c)

9

11 d) none of these

106. A person draws a card from a pack of playing cards, replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he fails the first two times, is

a) 9

64 b)

1

64 c)

1

16 d)

9

16

107. A bag contains 5 brown socks and 4 white socks. A man selects two socks from the bag without replacement. The probability that the selected socks will be of the same colour, is

a) 5

108 b)

1

6 c)

5

18 d)

4

9

108. Two players A and B play a game in which their chances of winning are in the ratio 3 : 2. A′s chance of winning at least 2 games out of 3 , is

a) 73

125 b)

81

125 c)

67

625 d)

71

625

109. The probability of guessing correctly at least 8 out of 10 answers on a true – false examination is

a) 7

64 b)

7

128 c)

45

1024 d)

175

1024

110. Let p be the probability of happening any event and q its failure, then the total chances of r successes in n trials is a) nCr p

r qn-r b) nCr pr-1 q r +1

c) nCr pr +1 q r -1 d) nC n+r p

r qn - r

111. If the variance of 1,2,3,4,5,…, 10 is 99

12, then

the standard deviation of 3,6,9, 12,…30 is

a)297

4 b)

333

2 c)

399

2

d)99

12 e)

33

2

112. For the arithemetic progression

a,(a+d),(a+2d), (a+3d),…(a+2nd), the mean deviation from mean is

a) ( 1)

2 1

n n d

n

+−

b) ( 1)

2 1

n n d

n

++

c) ( 1)

2 1

n n d

n

−+

d) ( 1)

2

n d+

e) ( 1)

2 1

n n d

n

−−

113. The standard deviation of n observations x1, x2,

…, xn is 2. If 1

20n

ii

x=

=∑ and 2

1

100n

ii

x=

=∑ ,

then n is equal to a) 10 or 20 b) 5 or 10 c) 5 or 20 d) 5 or 15 e) 25

114. The standard deviation for the scores 1, 2, 3,4,5,6 and 7 is 2. Then , the standard deviation of 12,23, 34, 45, 56, 67 and 78 is a) 2 b) 4 c)22 d) 11 e) 44

115. If ( ) ( ) , ,a b c a b c where a b c× × = × × are any

three vectors such that. 0, 0a b c then a and c≠ ≠

are

a) Inclined at an angle of 6

π between them

b) perpendicular c) parallel

d) inclined at an angle of 3

π between

116. Let ˆ ˆˆ ˆ ˆ ˆ, 2a i j k b i j k= + + = − +

and c

= ˆxi + (x -2) ˆj k− .If c

lies in the plane

of ,a and b

then x equals a) - 2 b) 0 c) 1 d) – 4

117. Given two vectors ˆ ˆ ˆ2 ,i j and i j− − the unit vector coplanar with two vectors and perpendicular to first is

a) 1 ˆ ˆ( )2

i j+ b) 1 ˆ ˆ(2 )5

i j+

c) 1 ˆˆ( )2

i k± + d) none of these

118. Let ˆˆ ˆ ˆ ˆ ˆ ˆ, 2 3u i j i j and i j kυ ω= + = − = + + . If n is a unit vector such that ˆ ˆ ˆ. 0 . 0, .u n and n then nυ ω= = =

a) 1 b) 2 c) 3 d) 0 119. The vectors ˆ ˆˆ ˆ ˆ3 4 5 3 4AB i k and AC i j k= + = − +

are the sides of a triangle ABC. The length of the median through A is

a) 72 b) 33

c) 288 d) 18

120. The lines 2 3 4 1 4 5

1 1 2 1

x y z x y zand

k k

− − − − − −= = = =−

are coplanar if a) k = 1 or – 1 b) k = 0 or – 3 c) k =3 or -3 d) k = 0 or – 1

KKEERRAA RREEPPEEAATT

EELLEECCTTRROOSSTTAATTMMAAGGNNEETTIISSMM AANNDD MMAATT

&&DDEETTEERRMMIINNAANNTTSS,,VV 1. Two conducting spheres of radii 3 cm and 1 cm are

separated by a distance of 10 cm in free space. Ifspheres are charged to same potential of 10 V each, the force of repulsion between them is

a) 91

10 N3

−×

c) 91

10 N9

−×

e) 92

10 N3

−×

2. Force between two identical charges placed at a distance of r in vacuum is F. Now a slab of dielectric of dielectric constant 4 is inserted between these two charges. If the thickness of the slab is r/2, then the force between the charges will become

a) F b) 3

5

d) F

4 e)

F

23. Which one of the following graphs represents the

variation of electric field with distance r from the centre of a charged spherical conductor of radius R?

4. A dipole of electric dipole moment p is placed in a uniform electric field of strength E. If between positive directions of p and E, then the potential energy of the electric dipole is largest, when θ is

a) 4

π b)

2

π c) π

5. Small drops of the same size are charged toeach. If n such drops coalesce to form a single large drop, its potential will be

a) Vn b) V/n c) Vn6. Three charges Q0, −q and

vertices of an isosceles right angle triangle as in the

1177..0033..11

VVeerrssiioonn CCoo

RRAALLAA MMOODDEELL EENNTTRRAATTEERRSS –– EENNGGIINNEEEERRIINNGGTTIICCSS ,, CCUURRRREENNTT EELLEECCTTRRIICCIITTYY,, MMOOVVIINNGG

TTTTEERR,,DD && FF BBLLOOCCKK EELLEEMMEENNTTSS,, EELLEECCTTRROOVVEECCTTOORRSS,, 33DD,, PPRROOBBAABBIILLIITTYY,, MMAATTHHEEMMAATT

Two conducting spheres of radii 3 cm and 1 cm are separated by a distance of 10 cm in free space. If the spheres are charged to same potential of 10 V each, the force of repulsion between them is

b) 92

10 N9

−×

d) 94

10 N3

−×

Force between two identical charges placed at a distance of r in vacuum is F. Now a slab of dielectric

constant 4 is inserted between these two charges. If the thickness of the slab is r/2, then the force between the charges will become

3F

5 c)

4F

9

F

2

Which one of the following graphs represents the variation of electric field with distance r from the centre of a charged spherical conductor of radius R?

A dipole of electric dipole moment p is placed in a ctric field of strength E. If θ is the angle

between positive directions of p and E, then the potential energy of the electric dipole is largest, when

d) zero e) 2

3π

Small drops of the same size are charged to V volt each. If n such drops coalesce to form a single large

Vn1/3 d) Vn2/3 e) Vn1/2

q and –q are places at the vertices of an isosceles right angle triangle as in the

figure. The net electrostatic potential energy is zero if Q0 is equal to

a) q

47. The plates of a parallel plate capacitor with air as

medium are separated by a distance of 8 mm. A medium of dielectric constant 2 and thickness 4 mm having the same area is introduced between the plates. For the capacitance to remain the same , the distaa) 8 mmd) 12 mm

8. .The energy stored in a capacitor of capacitance C having a charge Q under a potential V is

a) 1

2

d) 1

29. A network of six identical capacitors, each of value

C, is made as shown in the figure. The equivalent capacitance between the points A and B is

a) 4

11

d) 3C

10. Find the true statement a) Ohm`s law is applicable to all conductors of electricity b) In an electrolyte solutionmainly due to the movement of electrons c) The resistance of an incandescent lamp is lesser when the lamp is switched on d) Specific resistance of a wire depends upon its dimension e) The resistance of carbon decreaseincrease of temperature

1199

ooddee:: BB

AANNCCEE EEXXAAMM GG ((MMOODDUULLEE ––VV))

GG CCHHAARRGGEESS AANNDD MMAAGGNNEETTIISSMM ,, OOCCHHEEMMIISSTTRRYY,,MMEETTAALLLLUURRGGYY,,MMAATTRRIICCEESS TTIICCAALL RREEAASSOONNIINNGG AANNDD SSTTAATTIISSTTIICCSS

figure. The net electrostatic potential energy is zero if is equal to

q

4 b)

32

2q c) 2q d) +q e)

The plates of a parallel plate capacitor with air as medium are separated by a distance of 8 mm. A medium of dielectric constant 2 and thickness 4 mm having the same area is introduced between the plates. For the capacitance to remain the same , the distance between the plates is

a) 8 mm b) 6mm c) 4 mm d) 12 mm e) 10mm The energy stored in a capacitor of capacitance C having a charge Q under a potential V is

21

2Q V b)

21

2C V c)

1

2

1

2QV e)

1

2CV

A network of six identical capacitors, each of value C, is made as shown in the figure. The equivalent capacitance between the points A and B is

4

11

C b)

3

11

C c)

3

11

C

d) 3C e) 4

3

C

Find the true statement

a) Ohm`s law is applicable to all conductors of electricity

b) In an electrolyte solution , the electric current is mainly due to the movement of electrons

c) The resistance of an incandescent lamp is lesser when the lamp is switched on

d) Specific resistance of a wire depends upon its dimension e) The resistance of carbon decreases with the increase of temperature

Time : 2½ Hours

figure. The net electrostatic potential energy is zero if

2

q

The plates of a parallel plate capacitor with air as medium are separated by a distance of 8 mm. A medium of dielectric constant 2 and thickness 4 mm having the same area is introduced between the plates. For the capacitance to remain the same , the

c) 4 mm

The energy stored in a capacitor of capacitance C

21

2

Q

V

A network of six identical capacitors, each of value C, is made as shown in the figure. The equivalent

a) Ohm`s law is applicable to all conductors of

, the electric current is

c) The resistance of an incandescent lamp is lesser

d) Specific resistance of a wire depends upon its

s with the

11. Two different conductors have same resistance 00C . It is found that the resistance of the first conductor at t1

0C is equal to the resistance of the second conductor at t2

0C. The ratio of the temperature

coefficients of resistance of the conductors , 1

1

αα

is

a) 1

2

t

t b) 2 1

2

t t

t

−

c) 2 1

2

t t

t

− d) 2

1

t

t

e) 2

1 1

t

t t− 12. In a closed circuit , the current I ( ampere ) at an

instant of time t ( in sec) is give by I = 4 - 0.08 t. The number electrons flowing in 50s through the cross section of the conductor is a) 1.25 ×1019 b) 6.25 × 1020 c) 5.25 × 1019 d) 2.55 ×1020 e) 4.25 ×1020

13. The plot represents the flow of current thorough a wire at three difference times. The ratio of charges flowing through the wire at different times is

a) 2:1:2 b) 1:3:3 c) 1:1:1 d) 2:3:4 e) 2:3:3

14. In the figure shown below, the terminal voltage across E2 is

a) 12 V b) 12. 66 V c) 11.34 V d) 11.66 V e) 12.33 V

15. Two identical cells send the same current in 3 Ω resistance, whether connected in series or in parallel. The internal resistance on the cell should be a) 1Ω b) 3 Ω

c) 1

2 Ω d) 3.5 Ω e)

3

2 Ω

16. In a potentiometer experiment , when three cells A,B

and C are connected in series the balancing length is found to be 740 cm. If A and B are connected in series balancing length is 440 cm and for B and C connected in series that is 540cm. Then , the emf of EA, EB and EC are respectively (in volts ) a) 1,1.2 and 1.5 b) 1,2 and 3 c) 1,5,2 and 3 d) 1.5,2.5 and 3.5 e) 1.2,1.5 and 3.5

17. The resistance of a galvanometer is 50 Ω and it shows full scale deflection for a current of 1 mA. To convert it into a voltmeter to measure 1V and as well as 10V (refer circuit diagram ) the resistance R1 and R2 respectively are

a) 950 Ω and 9150 Ω b) 900 Ω and 9950 Ω c) 900 Ω and 9900 Ω d) 950 Ω and 9000 Ω e) 950 Ω and 9950 Ω

18. The magnitude of the magnetic field inside a long solenoid is increased by a) decreasing its radius b) decreasing the current through it c) increasing its area of cross –section d) introducing a medium of higher permeability e) decreasing the number of turns in it

19. A current I enters a circular coil of radius R, branches into two parts and then recombines as shown in the circuit diagram

The resultant magnetic field at the centre of the coil is

a) Zero b) 0

2

I

R

µ

c) 03

4 2

I

R

µ

d) 01

4 2

I

R

µ

e) 01

2 2

I

R

µ

20. Two long parallel wires carry currents i1 and i2 such that i1>i2 . When the currents are in the same direction , the magnetic field at a point midway between the wires is 6×10-6 T. If the direction i2 is

reversed, the field becomes 3×10-5 T. The ratio 1

2

i

iis

a) 1

2 b) 2 c)

2

3 d)

3

2 e)

1

5 21. If the radius of the dees of cyclotron is r, then the

kinetic energy of a proton of mass m accelerated by the cyclotron at an oscillating frequency ʋ is a) 4π2m2 ʋ 2r2 b) 4π2m ʋ 2r2 c) 2π2m ʋ 2r2 d) π2m ʋ 2r2 e) π2m2 ʋ 2r2

22. Two particles of equal charges after being accelerated through the same potential difference enter a uniform transverse magnetic field and describe circular path of radii R1 and R2 respectively. Then the ratio of their masses (M1/M2) is

a) 1

2

R

R b)

2

1

2

R

R

c) 2

1

R

R d)

2

2

1

R

R

e)

1/2

1

2

R

R

23. The force between two parallel current carrying wires is independent of a) their distance of separation b) the length if the wires c) the magnitude of the currents d) the radii of the wires e) the medium in which they are placed

24. An electron moving around the nucleus with an angular momentum ‘l’ has a magnetic moment

a) e

lm

b) 2

el

m

c) 2e

lm

d) 2

el

mπ e)

4

el

mπ 25. A conducting rod of 1m length and 1 kg mass is

suspended by two vertical wires through its ends. An external magnetic field of 2T is applied normal to the rod. Now the current to be passed through the rod so as to make the tension in the wires zero is (take , g =10 ms-2) a) 0.5 A b) 15A c) 5A d) 1.5 A e) 2.5 A

26. A coil of 100 turns and area 2× 10-2 m2, pivoted about a vertical diameter in a uniform magnetic field carries a current of 5A. When the coil is held with its plane in North –South direction, it experiences a torque of 0.3 N-m. When the plane is in East –West direction the torque is 0.4 N-m. The value of magnetic induction is ( Neglect earth`s magnetic field ) a) 0.2T b) 0.3T c) 0.4T d) 0.1 T e) 0.05T

27. Two identical magnetic dipoles of magnetic moment 2Am2 are placed at a separation of 2m with their axis perpendicular to each other in air. The resultant magnetic field at a mid point between the dipoles is a) 4√5×10-5 T b) 2√5×10-5 T c) 4√5×10-7 T d) 2√5×10-7 T e) 4√2×10-7 T

28. Electromagnets are made of soft iron has a) low susceptibility and low retentivity b) low susceptibility and high retentivity c) high permeability and low retentivity d) high permeability and high coercivity e) low permeability and low retentivity

29. Which one of the following characteristics is not associated with a ferromagnetic material a) It is strongly attracted by a magnet

b) It tends to move from a region of strong magnetic field to a region of low magnetic field c) Its origin is the spin of electrons d) Above the Curie temperature , it exhibits paramagnetic properties e) Its magnetic susceptibility is large and positive

30. A paramagnetic substance of susceptibility 3×10-4 is placed in a magnetic field of 4 × 10-4 Am-1 . Then, the intensity of magnetization in the unit of Am-1 is a) 1.33 ×108 b) 0.75 × 10-8 c) 12 ×10-8 d) 14 ×10-8 e) 1.2 ×10-8

31. At a temperature of 300C , the susceptibility of a ferromagnetic materials is found to be λ. Its susceptibility at 3330C is a) λ b) 0.5λ c) 2λ d) 11.1 λ e) 0.09λ

32. A charged particle q is shot towards another charged particle Q, which is fixed, with a speed v. It approaches Q up to a closest distance r and then returns. If q is shot with speed 2v, the closest distance of approach would be

a) r

4 b)

r

2 c) 2r

d) r e) 3

2r

33. Charges +2q, +q and +q are placed at the corners A,

B and C of an equilateral triangle ABC. If E is the electric field at the circumcentre O of the triangle, due to the charge +q, then the magnitude and direction of the resultant electric field at O is

a) E along AO b) 2E along AO

c) E along BO d) E along CO e) zero 34. Electric charge is uniformly distributed along a long

straight wire of radius 1 mm. The charge per cm length of the wire is Q coulomb. Another cylindrical surface of radius 50 cm and length 1 m symmetrically encloses the wire. The total electric flux passing through the cylindrical surface is

a) 0

Q

ε b)

0

100Q

ε c)

0

10Q

πε

d) 0

100Q

πε e)

0

Q

100ε

35. The drift velocity of the electrons in a copper wire of length 2m under the application of a potential difference of 220V is 0.5 ms-1.Their mobility (in m2V-1 s-1 ) a) 2.5 ×10-3 b) 2.5 ×10-2 c) 5 ×102 d) 5× 10-3 e) 5 ×10-2

36. A galvanometer of resistance 20Ω shows a deflection of 10 divisions when a current of 1mA is passed through it. If a shunt of 4 Ω is connected and there are 50 divisions on the scale, the range of the galvanometer is a) 1A b) 3A c) 10mA d) 30A e) 30mA

37. When two resistances R1 and R2 connected in series , they consume 12 W power. When they are connected in parallel, they consume 50W power. What is the ratio of power of P1 and P2? a) 1/4 b) 4 c) 3/2 d) 4 e) 1

38. If a magnetic dipole of moment M situated in the direction of a magnetic field B is rotated by 1800, then the amount of work done is

a) MB b) 2MB c) 2

MB

d) Zero e) MB 39. A magnetic needle lying parallel to a magnetic field

requires W units of work to turn it through 600. The torque required to keep the needle in this position will be a) 2W b) W

c) 3

W d)

3

W e) 3W

40. The angle of dip at a place is 370 and the vertical component of the earth`s magnetic field is 6×10-5 T. The earth`s magnetic field at this place is (tan 370=3/4) a) 7×10-5 T b) 6 ×10-5T c) 5×10-5T d) 10-4T e) 4 ×10-5T

41. The element that usually does not show variable oxidation state is a) V b) T c) Sc d) Cu e) Cr

42. Arrange Ce3+, La3+, Pm3+ and Yb3+ is increasing order of their ionic radii a) Yb3+ < Pm3+ < Ce3+ < La3+ b) Ce3+ < Yb3+ < Pm3+ < La3+ c) Yb3+ < Pm3+ < La3+ < Ce3+ d) Pm3+ < La3+ < Ce3+< Yb3+

e) Ce3+< Pm3+ < La3+ < Yb3+ 43. In the Hall – Heroult process, aluminium is formed at

the cathode. The cathode is made of: a) platinum b) carbon c) aluminium d) copper e) zinc

44. If 2+Fe /FeE is x1, 3+Fe /Fe

E is x2 then 3+ 2+Fe /FeE will be,

a) 3x2 – 2x1 b) x2 – x1 c) x2 + x1 d) 2x1 + 3x2 e) 2x2 – x1

45. Which of the following processes involves the roasting process? a) ZnCO3→ ZnO+CO2 b) Fe2O3+3C→2Fe+3CO c) 2PbS+3O2 →2PbO+2SO2 d) Al2O3.2H2O →Al 2O3+2H2O

46. Transition metal with low oxidation number will act as a) a base b) an acid c) an oxidising agent d) None of these

47. The standard oxidation potentials for Mn3+ ion in acid solution are

Mn2+ →− V5.1 Mn3+ →− V0.1 MnO2. Is the reaction 2Mn3+ + 2H2O → Mn2+ + MnO2 + 4H+ spontaneous under conditions of unit activity? What is the change in free energy?

a) Spontaneous, - 48250 J b) Non-spontaneous, + 48250 J c) No change in free energy d) Spontaneous, - 96500J I

48. The anodic half – cell of lead – acid battery is recharged using electricity of 0.05 faraday. The amount of PbSO4 electrolysed in g during the process in : (Molar mass of PbSO4 = 303 g/mol). a) 22.8 b) 15.2 c) 7.6 d) 11.4

49. Which of the following pair will have effective magnetic moment equal a) Cr3+ and Mn2+ b) Cr2+ & Fe2+ c) V2+ and Sc2+ d) Ti2+ & V 2+

e) Mn2+ and Te2+ 50. Hall – Heroult’s process is given by

a) Cr2O3 +2Al →Al 2O3 +2Cr

b) Cu2(aq)

++H2(g) →Cu(s) +2H (aq)

+

c) ZnO+C Coke,1673K→ Zn + CO d) 2Al2O3 +3C →4Al +3CO2

e) None of these 51. KMnO4 reacts with ferrous sulphate according to the

equation.

MnO 4−

+ 5Fe2+ +8H+ → Mn2+ +5Fe3+ +4H2O

Here 10 mL of 0.1 M KMnO4 is equivalent to a) 20 mL of 0.1 M FeSO4 b) 30 mL of 0.1 M FeSO4 c) 40 mL of 0.1 M FeSO4 d) 50 mL of 0 M FeSO4

e) 10 mL of 0.1 M KMnO4 52. In the preparation of potassium permanganate,

purolusite (MnO2) is first converted to potassium manganate (K2MnO4). In this conversion, the oxidation state of manganese changes from a) + 1 to +3 b) +2 to +4 c) +3 to +5 d) + 4 to +6

53. AgNO3(aq) was added to an aqueous of KCl gradually and the conductivity of the solution was measured. The plot of conductance Vs volume of AgNO3 is

54. In the cell H2(g) Pt(s) | H2(g), (1 bar) HCl(aq)|Ag(s) |Pt(s)

the cell potential is 0.92 when a 10-6 molal HCl solution is used. The standard electrode potential of (AgCl/Ag,Cl-) electrode is:

Given, 2.303RT

T= 0.06 V at 298 K

a) 0.20 V b) 0.76 V c) 0.40 V d) 0.94 V

55. Two complexes

A) [Cr(H2O)6Cl3] and B) [Cr(NH3)6]Cl3 are violet and yellow coloured respectively. The incorrect statement regarding then is : a) ∆0

value of (A) is less than that of (B) b) ∆0

value of (A) and (B) are calculated from the energies of violet and yellow light respectively. c) Both absorbs energies corresponding to their complementary colours d) Both are paramagnetic with three unpaired electrons e) None of these

56. Identify the correct order of solubility of Na2S, CuS and ZnS in aqueous medium a) CuS > ZnS > Na2S b) ZnS > Na2S > CuS c) Na2S >CuS > ZnS d) Na2S > ZnS > CuS

57. The standard electrode potential E0 and its

temperature co-efficient 0dE

dt

for a cell are 2V and

-5×10-4vk-1 at 300 K respectively. The cell reaction is

Zn(s) + Cu2(aq)

+ → Zn2(aq)

++Cu(s)

The standard reaction ( )0

cH∆ at 300 K in KJ/mol is

a) – 412.8 b) – 384.0 c) 206.4 d) 192.0

58. (n-1)d10 ns2 is the general electronic configuration of a) Fe, Co, Ni b) Cu, Ag, Au c) Zn, Cd, Hg d) Se, Y, La e) All of these

59. The transition element that has lowest enthalpy of atomisation is a) Zn b) Cu c) V d) Fe e) Mn

60. Consider the following reduction processes: Zn2+ +2e- →Zn(s) ; E

0 = -0.76 V Ca2+ + 2e- →Ca(s) ; E

0 = -2.87 V Mg2+ +2e- →Mg(s) ; E

0 = -2.36 V Ni2+ +2e- →Ni(s) ; E

0 = -0.25 V The reducing power of the metals increases in the order: a) Ca < Zn < Mg < Ni b) Ni < Zn < Mg < Ca c) Zn < Mg < Ni < Ca d) Ca< Mg < Zn < Ni e) Zn < Ni < Mg < Ca

61. Among the following the compound that is both paramagnetic and coloured is a) K2Cr2O7 b) (NH4)2TiCl6 c) VOSO4 d) K3[Cu(N)4]

62. German silver is mixture of a) Zn, Cu,Fe b) Ni, Zn, Cu c) Ni, Fe, Cu d) Ni, Fe, Zn

63. The basic character of the transition metal – monoxide follow the order a) TiO > VO > CrO > FeO b) VO > CrO > TiO> FeO c) CrO > VO > FeO > TiO d) TiO > FeO> VO > CrO e) FeO > CaO > VO > TiO

64. Water gas is used in the extraction of :

a) Ni b) Fe c) Ti d) None 65. The coordination number of ‘Th’ in

K4[Th(C2O4)4(H2O)2] is a) 6 b) 10 c) 14 d) 8 e) 12

66. The highest value of the calculated spin only magnetic moment (in BM) among all the transition metal complex is: a) 5.92 b) 3.67 c) 6.93 d) 4.90

67. The complex that has highest crystal field splitting energy (∆ ) is a) K3[Co(CN)6] b) [Co(NH3)5(H2O)]Cl3 c) K2[CoCl4] d) [Co(NH3)5Cl]Cl2

68. If the standard electrode potential for a cell is 2V.at 300K, the equilibrium constant (k) for the reaction

Zn(s)+Cu2(aq)

+ Zn

2(aq)

++Cu(s) at 300 K is

approximately. (R = 8 JK-1 mol-1, F = 96000 C mol-1) a) e160 b) e320 c) e-160 d) e-80

69. Pt(H2)| 0.01M H+ | | 0.1M H+| Pt (H2). If Ecell = 0.0V

then xy

is,

a) 100 b) 10 c) 0.01 d) 0.1 e) 1000 70. The element with Z =120 (not yet discovered) will be

an/a a) transition metal b) inner – transition metal c) alkaline carth metal d) alkalimetal e) Noble gas

71. Wilkinson catalyst is a) [(Pb3P)3RhCl] b) [(Et3P)3IrCl] c) [(Et3P)3RhCl] d) [(Pb3P)3IrCl] e) None of these

72. The ore that contains both iron and copper is a) malachite b) Dolomite c) azusite d) copperpyrites e) Chalcopyrite

73. The reaction that does not define calcinations is:

a) ZnCO3 ∆→ ZnO + CO2

b) Fe2O3 xH2O ∆→ Fe2O3 +xH2O

c) CaCO3. MgCO3 ∆→ CaO + MgO +2CO2

d) 2Cu2S +3O2 ∆→ 2Cu2O +2SO2

e) All of these 74. The total number of isomers for a square planar

complex [M(F)(Cl)(SCN) (NO2)]is: a) 12 b) 8 c) 16 d) 4 e) 10

75. Larger number of oxidation states are exhibited by the actinoids than those by the lanthanoids, the main reason being a) lesser energy difference between 5f and 6d than between 4f and 5d orbitals b) more energy difference between 5f and 6d than between 4f and 5d orbitals c) more reactive nature of the actinoids than the lanthanoids d) 4f orbitals are more diffused than the 5f orbitals

76. For the cell Zn(s) |Zn2(aq)

+|| M x

(aq)

+

|M(s) , different half

cells and their standard electrode potentials are given below:

Mx(aq)

+

|M(s

Au3(aq)+

|Au(s)

Ag (aq)+

|Ag(s)

Fe3(aq)+

|Fe

4(aq)

Fe2(aq)

+

|F(n)

E x

0

M + |M 1.40 0.80 0.77 -0.44

If E 2

0

zn + /Zn = - 0.76 V, which cathode will give a

maximum value of E0cell per electron transferred?

a) Fe3+/ Fe2+ b) Ag+ /Ag c) Ag3+/Au d) Fe2+/Fe e) All of these

77. In for NaCl, HCl and NaA are 126.4 425.9 and 100.5 scm2mol-1, respectively. if the conductivity of 0.001 M HA is 5×10-5 scm-1, degree of dissociation of HA is a) 0.75 b) 0.125 c) 0.25 d) 0.50 e) An reducing agent

78. Which transition metal reduces steam to evolve hydrogen a) Ni b) Fe c) Sc d) Pt

79. In vapour state Cu(NO3)2 and Cu2(CH3COO)4. 2H2O exist as: a) Dimer, Monomer b) Monomer, Dimer c) Monomer, Monomer d) Dimmer, Dimer

80. Match the ores (column A) with the metals (Column B) Column A Column B (I) Siderite (a) Zinc (II) Kaolitite (b) Copper (III) Malachite (c) Iron (IV) Calamine (d) Aluminium a) I – b ; II – c; IV – a ; III – d b) I – c ; II – d; III – a ; IV – b c) I – c ; II – d; III – b ; IV – a d) I – a ; II – b; III – c ; IV – d e) I – c ; II – b; III – a ; IV – d

81. If the direction cosines of a vector of

magnitude 3 are 2 2

, , 03 3 3

aand a

− > , then the

vector is

a) ˆ ˆ ˆ2i + j+2k b) ˆ ˆ ˆ2i - j+2k

c) ˆ ˆ ˆi - 2j+2k d) ˆ ˆ ˆi +2j+2k

e) ˆ ˆ ˆi +2j-2k

82. If the scalar product of the vector ˆ ˆ ˆi + j+2k

with the unit vector along ˆ ˆ ˆmi +2j+3k is equal to 2, then one of the values of m is a)3 b)4 c)5 d)6

83. The point in the XY – plane which is equidistant from the points (2,0,3), (0,3,2) and (0,0,1) is a) (1,2,3) b) (−3,2,0) c) (3, −2,0)

d) (3,2,0) e) (3,2,1) 84. The angle between a normal to the plane

2x- y+2z – 1 = 0 and the Z – axis is

a) 1 1cos

3−

b) 1 2sin

3−

c) 1 2cos

3−

d) 1 1sin

3−

e) 1 3sin

5−

85. If A and B are square matrices of order 3 such that | A | = - 1, | B | = 3, then | 3 AB | equals a) – 9 b) – 81 c) – 27 d) 81

86. Value of ∆ = 2

2

1 1 1

1

1

ω ωω ω

is

a) 3 3i b) – 3 3i

c) - 3i d) 3 i

87. If

2

2

2

a ab ac

ab b bc

ac bc c

−−

− = λ a2b2c2, then the value

of λ is a) 1 b) 2 c) 4 d) 3

88. If .a b

= 0 and a b+

makes an angle of 600 with a

then

a) a = 2 b

b) 2 a = b

c) a = 3 b

d) 3 a = b

89. If the median of , , , , ( 0)5 4 3 2

x x x xx x > is 8, then

the value of x is a) 24 b)32 c)8 d)16 d) 40

90. The average of the four digit numbers that can be formed using each of the digits 3,5,7 and 9 exactly once in each number, is a) 4444 b) 5555 c) 6666 d) 7777 e) 8888

91. The standard deviation of 9,16,23,30,37,44,51 is a) 7 b)9 c)12 c)14 d)16

92. If ( ) ( ) , ,a b c a b c where a b c× × = × × are any

three vectors such that. 0, 0a b c then a and c≠ ≠

are

a) Inclined at an angle of 6

π between them

b) perpendicular c) parallel

d) inclined at an angle of 3

π between

93. For the arithemetic progression

a,(a+d),(a+2d), (a+3d),…(a+2nd), the mean deviation from mean is

a) ( 1)

2 1

n n d

n

+−

b) ( 1)

2 1

n n d

n

++

c) ( 1)

2 1

n n d

n

−+

d) ( 1)

2

n d+

e) ( 1)

2 1

n n d

n

−−

94. The probability of guessing correctly at least 8 out of 10 answers on a true – false examination is

a) 7

64 b)

7

128

c) 45

1024 d)

175

1024

95. The lines 2 3 4 1 4 5

1 1 2 1

x y z x y zand

k k

− − − − − −= = = =−

are

coplanar if a) k = 1 or – 1 b) k = 0 or – 3 c) k =3 or -3 d) k = 0 or – 1

96. Given two vectors ˆ ˆ ˆ2 ,i j and i j− − the unit vector coplanar with two vectors and perpendicular to first is

a) 1 ˆ ˆ( )2

i j+ b) 1 ˆ ˆ(2 )5

i j+

c) 1 ˆˆ( )2

i k± + d) none of these

97. A person draws a card from a pack of playing cards, replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he fails the first two times, is

a) 9

64 b)

1

64 c)

1

16 d)

9

16

98. The roots of the equation

1 2 3

0 2 0 0

0 2 3

x

x are

x

−− =

−

a) 1, - 2 b) 2, 3 c) 1, 3 d) 1, 2, 3 99. If a matrix A is such that 3A3 + 2A2 +5A+I = O,

then its inverse is a) – (3A2 +2A +5I ) b) 3A2 +2A +5I c) 3A2 -2A - 5I d) None of these

100. The number of solutions of 2x + y = 4, x – 2y = 2, 3x + 5y = 6 is a) 0 b) 1 c) 2 d) infinitely many

101. The value of k for which the system of equations x – ky + z = 0, kx + 3y - kz = 0 and 3x + y – z = 0 has no trivial solution a) k = - 3 or 2 b) k = 3 or k = - 2

c) k = 0 or 1 d) any value of k 102. If f (x) =

1 1

2 ( 1) ( 1)

3 ( 1) 2( 1)( 2) ( 1) ( 1)

x x

x x x x x

x x x x x x x

+− +

− − − + −

then f (100) is equal to a) 0 b) 1 c) 100 d) – 100

103. If a line makes angles α, β, γ and δ with four diagonals of a cube, then the value of sin2

α+ sin2 β+sin2

γ+ sin2δ is

a)4

3 b)

8

3 c)

7

3 d)1

104. If the lines 1 2 3 1 61

3 2 2 3 5

x y z x zand y

α α− − − − −= = = − = are

perpendicular, then the value of α is

a) 10

7

− b)

10

7 c)

10

11

−

d) 10

11 e)

10

9

105. If λ ˆ ˆ ˆ(3i +2j-6k) is a unit vector , then the values of λ are

a) 1

7± b) 7± c) 43±

d) 1

43± e)

1

7±

106. A unit vector in the XOY – plane that makes

an angle 300 with the vector ˆi + j and makes an

angle 600 withˆ ˆi - j is

a) 1 ˆ ˆ[( 6 2)i ( 6 2) j]4

+ − −

b) 1 ˆ ˆ[( 6 2)i ( 6 2) j]2

− − +

c) 1 ˆ ˆ[( 6 2)i ( 6 2) j]4

− − +

d) 1 ˆ ˆ[( 6 2)i ( 6 2) j]3

+ − −

e) 1 ˆ ˆ[( 6 2)i + ( 6 2) j]4

+ −

107. If ˆ ˆ ˆ ˆ ˆ ˆi + j, j+kandi +kare the position vectors of the vertices of a ∆ ABC taken in order, then ∠A is equal to a) π/2 b) π/5 c) π/6 d) π/4 e) π/3

108. The AM of 9 terms is 15. If one more terms is added to this series , then the AM becomes 16. The value of the added term is a) 30 b) 27 c)25 d)23 d)20

109. The mean of the values 0,1,2,3,…. n with the corresponding weights nC0,

nC1, nC2,…

nCn respectively , is

a)1

2

n + b)

1

2

n − c)

2 1

2

n −

d) 2 1

2

n + e)

2

n

110. If 9

1

( 5) 9ii

x=

− =∑ and 9

2

1

( 5) 45ii

x=

− =∑ , then the

standard deviation of the 9 times x1, x2,…, x9 is a) 9 b) 4 c) 3 d) 2 e) 1

111. An experiment can result in only 3 mutually exclusive events A,B and C.If P(A)=2P(B) = 3P(C), then P (A) =

a) 6

11 b)

5

11

c) 9

11 d) none of these

112. A bag contains 5 brown socks and 4 white socks. A man selects two socks from the bag without replacement. The probability that the selected socks will be of the same colour, is

a) 5

108 b)

1

6

c) 5

18 d)

4

9

113. Two players A and B play a game in which their chances of winning are in the ratio 3 : 2. A′s chance of winning at least 2 games out of 3 , is

a) 73

125 b)

81

125

c)67

625 d)

71

625

114. Let p be the probability of happening any event and q its failure, then the total chances of r successes in n trials is a) nCr p

r qn-r b) nCr pr-1 q r +1

c) nCr pr +1 q r -1 d) nC n+r p

r qn - r

115. If the variance of 1,2,3,4,5,…, 10 is 99

12, then

the standard deviation of 3,6,9, 12,…30 is

a)297

4 b)

333

2 c)

399

2

d)99

12 e)

33

2

116. The standard deviation of n observations x1, x2,

…, xn is 2. If 1

20n

ii

x=

=∑ and 2

1

100n

ii

x=

=∑ ,

then n is equal to a) 10 or 20 b) 5 or 10 c) 5 or 20 d) 5 or 15 e) 25

117. The standard deviation for the scores 1, 2, 3,4,5,6 and 7 is 2. Then , the standard deviation of 12,23, 34, 45, 56, 67 and 78 is a) 2 b) 4 c)22 d) 11 e) 44

118. Let ˆ ˆˆ ˆ ˆ ˆ, 2a i j k b i j k= + + = − +

and c

= ˆxi + (x -2) ˆj k− .If c

lies in the plane

of ,a and b

then x equals a) - 2 b) 0 c) 1 d) – 4

119. Let ˆˆ ˆ ˆ ˆ ˆ ˆ, 2 3u i j i j and i j kυ ω= + = − = + + . If n is a unit vector such that ˆ ˆ ˆ. 0 . 0, .u n and n then nυ ω= = =

a) 1 b) 2 c) 3 d) 0 120. The vectors ˆ ˆˆ ˆ ˆ3 4 5 3 4AB i k and AC i j k= + = − +

are the sides of a triangle ABC. The length of the median through A is

a) 72 b) 33 c) 288 d) 18

KKEERRAALLAA MMOODDEELL EENNTTRRAANNCCEE EEXXAAMM RREEPPEEAATTEERRSS –– EENNGGIINNEEEERRIINNGG ((MMOODDUULLEE ––VV))

AANNSSWWEERR KKEEYY VVEERRSSIIOONN CCOODDEE –– AA

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

A A D C A C D B B D E A E D D

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

B C C B A D E C D A D C B B D

31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

B C E E D D C B C E C A C D C

46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

B A B A D D A A A D A C C B B

61 62 63 64 65 66 67 68 69 70 71 72 73 74 75

B A B B B C B B D A C A B A D

76 77 78 79 80 81 82 83 84 85 86 87 88 89 90

A C B D A A D B A B C A A B C

91 92 93 94 95 96 97 98 99 100 101 102 103 104 105

B D B A D E D E C A E C D C A

106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

D D B B A B B C C C A C C B B

AANNSSWWEERR KKEEYY VVEERRSSIIOONN CCOODDEE –– BB

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

A D C C D B E D A E D B C C B

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

A D D A D C B D B C E D C B C

31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

E A A B D E C B E D C A B A C

46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

C A B B D D D D A B D A C B B

61 62 63 64 65 66 67 68 69 70 71 72 73 74 75

C B A A B A A A C C A D D A A

76 77 78 79 80 81 82 83 84 85 86 87 88 89 90

B B B B C B D D C A B C D A C

91 92 93 94 95 96 97 98 99 100 101 102 103 104 105

C C B B B C D D A B A A B B A

106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

E E C E D A D B A B C C A C B

1177..0033..1199

AANNSSWWEERRSS AANNDD SSOOLLUUTTIIOONNSS

First No: Version code: A Second No: Version code: B 1. 32

2. 1

3. 2

4. 3

5. 33

6. 4

7. 5

8. 6

9. 34

10. 8

11. 7

12. 9

14. 35

15. 11

16. 12

17. 13

18. 14

19. 15

20. 16

21. 22

22. 36

23. 37

24. 18

25. 19

26. 20

27. 21

28. 22

29. 38

30. 23

31. 24

32. 25

33. 26

34. 39

35. 27

36. 40

37. 28

38. 29

39. 30

40. 41

43. 69

LHS : H2(g) 2H+ + 2e–

2 atm 0.01 M RHS : 2H+(aq) + 2e– → H2(g) 0.1 M y atm H2(g) + 2H+

(aq) ≥ 2H+ + H2(g) X atm 0.1 M 0.01M y atm

k = 2

2

(0.01) y y= 0.01

(0.1) x x

53. 68 ∆G0= - RT lnK = -nFEo

cell

Ln K = o

cellnFE 2×9650×2= 160.833

RT 8×300====

∴ K = e160

60. 48 PbSO4(s) + 2OH– →PbO2+H2SO4 + 2e–(Anode ) 0.05/2 mole 0.05F PbSO4 + 2 e – + 2H+ → Pb(s) + H2SO4 (Cathode) 0.05/2 mole No. of moles (PbSO4) = 0.05 mole MPbSO4 = 0.05 × 303 = 15.2 g

62. 54 Pt(s) |H2(g),bar) HCl|(aq) ||AgCl(s)|Ag(s) |Pt(s) Anode : H2 → 2H+ + 2 e –

Cathode : 2AgCl + 2 e- → 2Ag(s) + 2Cl-(aq)

Reaction : H2 + 2AgCl(s) → 2H+(aq) + 2Ag(s) + 2Cl –(aq)

Ecell = Eocell =

+ 2 2-0.0591log [H ] .[i]

2

0.925 =

(((( ))))+ -2

0 0 -6 2 -6 2

H /H AgCl/Ag,Cl

0.05910.925 = E + E - log(10 ) ×(10 )

2

-

0 -6 4

AgCl/Ag,Cl0.925 = 0+ E -0.03log(10 )

∴ -

0

AgCl/AgiE = 0.92+ (0.03 -24) = 0.2v××××

65. 77

Λ0m (HA) = Λ0

m (HCl) + Λ0m (NaA) – Λ0

m (NaCl) = (425.9+ 100.5 – 126.4 = 400 S cm2 mol –1 Λ0

m = -5

2 -1-3

1000×K 1000×5×10= = 50Scm mol

y 10

α = mo

m

Λ 50= 0.125

Λ 400====

74. 47 First calculate oE of the reaction

oE = 1.5 - 1 = 0.5 volt E o

cell is positive, so reaction is spontaneous Gibb's free energy + ∆ Go = –nEoF

=-1 × 96500 × 0.5 =- 48250 J.

80. 44 1) Fe2+ 2e – → Fe n1 = 2

2) Fe3+ 3e – → Fe n2 = 3

3) Fe3+ e – → Fe2+ n3 = 1 (2) – (1) = (3) ∆Go

3 = ∆Go2 – ∆Go

1 –n3FEo

3 = -n2FEo2 + n1FEo

1

Eo3 =

o o2 2 1 1

3

n E – n E

n = 3x2 –3x1

81. 85

82. 98

83. 86

84. 99

85. 100

86. 87

87. 101

88. 102

89. 81

90. 84

91. 103

92. 83

93. 104

94. 105

95. 82

96. 106

97. 88

98. 107

99. 108

100. 89

101. 109

102. 90

103. 110

104. 91

105. 111

106. 97

107. 112

108. 113

109. 94

111. 115

112. 93

113. 116

114. 117

115. 92

116. 118

117. 96

118. 119

119. 120