vmc test 4

Vidyamandir Classes 1

Aggarwal Corporate Heights, 3rd Floor, Plot No. A - 7, Netaji Subhash Place,

Pitam Pura, Delhi - 110034 Phone: 011-45221190-93. Fax : 25222953

AIEEE Home Practice Test - 4/2012

TIME : 3.00 Hrs M.M. : 360

Read the following Instructions very carefully before you proceed.

The paper contains a total of 90 questions

Section - I : Chemistry, Section - II : Physics & Section - III : Mathematics.

Each question carries 4 Marks. - 1 will awarded for every wrong answer (Negative Marking).

For answering a question an ANSWER SHEET is provided separately.

Please follow the directions in the question paper. Please darken the entire circle that corresponds

to your answer for each question. Use only HB pencil to mark answer, and erase pencil marks

completely to make a change.

Do not scribble anything on the answer sheet.

Please Fill your Roll Number & Personal Information Properly in the space provided in the ANSWER SHEET.

Wrong way of filling Right way of filling

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

Please fill the following information

REGISTRATION NO.

NAME

Invigilator’s Signature

2 Vidyamandir Classes

SECTION - I (Chemistry) 30 × 4 = 120

1. In a hydrogen like sample two different types of photons A and B are produced by electronic transition. Photon B has it’s wavelength in infrared (long) region. If photon A has more energy than B, then the photon A may belong to the region :

I. Ultraviolet II. Visible III. Infrared (short) The correct option is : (A) I (B) II (C) I, II (D) I, II, III

2. Two glass bulbs A and B are connected by a very small tube (of negligible volume) having stop cock. Bulb A has a volume of 100 cm3 and contains gas while bulb B is empty. On opening the stop cock, the pressure in ‘A’ fell down by 60%. The volume of bulb B must be :

(A) 200 mL (B) 150 mL (C) 250 mL (D) 100 mL

3. The direct conversion of A to B is difficult, hence it is carried out by the following shown path :

S A C 50 S C D 30 S B D 20

The entropy change for the process A B is : (A) 100 (B) 60 (C) 100 (D) 60

4. For the reaction : 2 21 1N (g) O (g) NO(g)2 2

If pressure is increased by reducing the volume of the container then : (A) Total pressure at equilibrium will change (B) Concentration of all the components at equilibrium will change (C) Concentration of all the components at equilibrium will remain same (D) Equilibrium will shift in the toward direction

5. {Y} . {X} and {Y} are : (A) (B)

(C) Both are (D) Both are

6. Which is of the following is a non-reducing sugar ? (A) Lactose (B) Fructose (C) Cellobiose (D) Sucrose 7. Which of the following is incorrect statement ?

(A) Aspirin is both an analgesic and antipyretic. (B) Ampicillin is a natural antibiotic. (C) Sulphadiazine is a synthetic antibacterial. (D) Some disinfectants can be used as antiseptics at low concentration. 8. How many times a solution of pH = 2 has higher acidic nature than the solution of pH = 6 ? (A) 10000 (B) 12 (C) 1/10000 (D) 4

{X} NaBH4 H2C O B2H6/H2O

H2C O OH, H2C

HO

HC OH OH, H2C

OH

H2C OH OH H2C

HO

A

C D

B


9. Which of the following electrolytes is least effective in causing of flocculation of ferric hydroxide sol ? (A) 4 6K [Fe CN ] (B) 2 2 4K Cr O (C) KBr (D) 2 4K SO 10. Which of the following statement is incorrect ? (A) Geometrical isomers are diastereomers. (B) Enantiomers have same chemical and physical properties. (C) Conformers are inter convertable to each other. (D) 3-methyl hexane shows optical isomerism.

11. Which of the following compounds having highest and lowest melting point respectively ? I. CsF II. LiF III. HCl IV. HF The correct option is : (A) II, III (B) I, IV (C) IV, III (D) II, I

12. Which of the following statement is incorrect for the complex 3 2 6Na Co NO ?

(A) Diamagnetic nature (B) d2sp3 hybridisation (C) High spin complex (D) Primary valency of Co +3

13. Which compound is prepared by the following reaction ? Ni Vessel

2 673K, 5 6atmXe F

(1 : 5 volume ratio)

(A) 2XeF (B) 6XeF (C) 4XeF (D) 2XeOF

14. In which of the following sp3 hybridisation occurs ? I. 4SF II. 2SF III. 2OF IV. 4XeF

The correct option is : (A) I, IV (B) II, III (C) Only I (D) All

15. Which is not a polymer ? (A) Sucrose (B) Enzyme (C) Starch (D) Teflon

16. An organic compound X on reduction gives compound Y which on reaction with chloroform and potassium hydroxide forms Z. The compound Z on catalytic reduction gives N-methylaniline. The compound X is :

(A) Nitrobenzene (B) Nitromethane (C) Methylamine (D) Aniline

17. Among the following compounds the decreasing order of reactivity towards electrophilic substitution is : I II III IV (A) II > I > III > IV (B) III > I > II > IV

(C) IV > I > II > III (D) I > II > III > IV

18. In HS, I, RNH2, NH3 order of proton accepting tendency will be : (A) I > NH3 > RNH2 > HS (B) NH3 > RNH2 > HS > I (C) RNH2 > NH3 > HS > I (D) HS > RNH2 > NH3 > I

19. A compound formed by elements X and Y crystallizes in a cubic structure in which the X atoms are at the corners of a cube and the Y atoms are at the face-centres. The formula of the compound is :

(A) XY3 (B) X3Y (C) XY (D) XY2

CH3 OCH3 CF3


20. The radioactive isotope 6027 Co which is used in the treatment of cancer can be made by (n, p) reaction. For this

reaction the target nucleus is :

(A) 5928 Ni (B) 60

27 Co (C) 6028 Ni (D) 60

27 Co

21. A solid compound ‘X’ on heating gives CO2 gas and a residue. The residue mixed with water from ‘Y’ in water, a clear solution, ‘Z’ is obtained. On boiling ‘Z’ compound ‘X’ is reformed. The compound ‘X’ is :

(A) Ca(HCO3)2 (B) CaCO3 (C) Na2CO3 (D) K2CO3

22. Aniline in a set of reactions yielded a product (S).

The structure of the product (S) would be : (A) C6H5CH2NH2 (B) C6H5NH CH2CH3 (C) C6H5NHOH (D) C6H5CH2OH

23. Which one of the following compounds is most acidic ? (A) ClCH2CH2OH (B) (C) (D)

24. The vapour pressure of two liquids ‘P’ and ‘Q’ are 80 and 60 torr, respectively. The total vapour pressure of

solution obtained by mixing 3 mole of P and 2 mol of Q would be : (A) 140 torr (B) 20 torr (C) 68 torr (D) 72 torr

25. The product ’P’ in the above reaction is :

(A) (B) (C) (D) 26. 4.5 g of aluminium (atomic mass = 27 gm/mol) is deposited at cathode from Al3+ solution by a certain quantity

of electric charge. The volume of hydrogen produced at STP from H+ ions in solution by the same quantity of electric charge will be :

(A) 22.4 L (B) 44.8 L (C) 5.6 L (D) 11.2 L 27. Which of the following statement is (are) correct ? I. A metal in its highest oxidation state acts as an oxidant

II. In the reaction : 2 2 21F O OF2

, oxygen is an oxidant

III. The oxidation number of Ni in Ni(CO)4 is zero IV. Copper metal can be oxidised by Zn2+ ions (A) Only I (B) I and III both (C) II and III both (D) I, II, III, IV

NH2 NaNO2

HCl P CuCN H2

Q Ni R HNO2 S

OH

O2N

OH

H3C

OH

C N

OCH3 + CH3 – MgBr Q H3O+

P.

CH CH3

OH CO – CH3

CH3

COCH3

OH

COOH

OCH3


28. Given that :

02I 2e 2I ; E 0.54V 0

2Br 2e 2Br ; E 1.09V

Which of the following is correct ?

(A) I ions will be able to reduce bromide ions

(B) Br ions will be able to reduce iodine (C) Iodine will be able to reduce bromine

(D) Bromine will be able to reduce iodide ions

29. Potassium salt of succinic acid on electrolysis gives (X). (X) on reaction with : (A) PhH in presence of 3HF BF gives styrene (B) CHCl3 in presence of peroxide gives 1, 1-dichloro cyclopropane (C) HOCl followed by reaction with NaOH gives expoxy ethane (D) All are correct

30. Which of the following complex will show geometrical as well as optical isomerism ? (A) [Pt(NH3)2Cl2] (B) [Pt(NH3)2Cl4] (C) [Pt(en)3]4+ (D) [Pt(en)2Cl2]

SECTION - II (Physics) 30 × 4 = 120 31. In the figure a block of mass M is at rest on the floor. The acceleration with which should a

boy of mass m climb along the rope of negligible mass, so as to jut lift the block from the floor is :

(A) 1

M gm

(B) 1

M gm

(C)

M gm

(D)

m gM

32. A particle is moving along a path of radius 3 m such a way that the distance traversed along the circumference

is given by 2 3

2 3

t ts . The acceleration of the particle when t = 2 sec. is :

(A) 1.3 m/s2 (B) 13 m/s2 (C) 5 m/s2 (D) 12 m/s2

33. Power supplied to a particle of mass 2 kg varies with time as 23

2

tP watt. Here t is in second and velocity of

particle at t = 0 is v = 0. The velocity of particle at time t = 2s will be:

(A) 1 m/s (B) 4 m/s (C) 2 m/s (D) 2 2 m / s

34. A steel ring of radius r and cross-sectional area A is fitted onto a wooden disc of radius R(R > r). If the Young’s modulus of steel is Y, then the force with which the steel ring is expanded is:

(A)

RAYr

(B) R rAY

r (C)

R rYA r

(D) YrAR

35. The circuit shown is constructed of resistors each of which has a maximum safe power rating of 0.4 W. The maximum potential difference that can be applied between a and b without damaging to any of the resistors is :

(A) 10 V (B) 20V

(C) 2 20 V (D) 20 V

M a m

B

a

b

1 50ΩR

2 100ΩR 3 100ΩR


36. Four equal charges Q are placed at the four corners of a square of side a. The work done in removing a charge Q from the centre of the square to infinity is :

(A) zero (B) 2

0

24

Qa

(C) 2

0

2 Qa

(D) 2

02Q

a

37. Two large parallel plates having equal and opposite charge Q are placed very close to each other and distance between the plates is d. Find the work done by external agent to increase the separation between plates by d (area of plates is A)

(A) 2

02Q dA

(B) 2

02Q dA

(C) 2

0

32Q dA

(D) 2

0

Q dA

38. A bar magnet has a magnetic moment 12 5 . JT is placed in a magnetic field of 0.2 T. The work done in turning

the magnet from parallel to antiparallel position relative to the field direction is : (A) 0.5 J (B) 1 J (C) 1.5 J (D) 0 J 39. A particle moves on the X-axis according to the equation x A B sin t . The motion is simple harmonic with

amplitude :

(A) A (B) B (C) A + B (D) 2 2A B

40. A ray of light passes from vacuum into a medium of refractive index , the angle of incidence is found to be

twice the angle of refraction. Then the angle of incidence is :

(A) 1 2cos / (B) 12 2cos / (C) 12sin (D) 12 2sin /

41. -particle has a binding energy 7 MeV per nucleon and binding energy of deuteron 1H2 is 1.2 MeV per nucleon.

In the reaction 2 2 41 1 2H H He Q energy released Q is :

(A) 4.6 MeV (B) 18.4 MeV (C) 20.6 MeV (D) 23.2 MeV

42. An object is cooled from 75 to 65C C in 2 minutes in a room at 30 C . The time taken to cool the same object

from 55 to 45 C C in the same room in minutes is :

(A) 4 (B) 5 (C) 6 (D) 7

43. A rod length l slides down along an inclined plane and the ground as shown in the figure. At any instant the velocity of end B is v, then the velocity of end A at the same instant will be :

(A) V sin

sin (B)

V cos

cos

(C) V cos (D) V cos 44. Four spheres, each of mass m and radius r are placed with their centres on the four corners of a square of side

b. The moment of inertia of the system about any side of the square is :

(A) 2 24

5mr mb (B) 2 28

25

mr mb

(C) 2 284

5mr mb (D) 2 24

25

mr mb

A

B v

u

d

Q Q


45. A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both the holes are the same. Then, R is equal to :

(A) 2

L

(B) 2 L (C) L (D) 2

L

46. A block of mass m initially at rest is dropped from a height h on a massless pan attached to a massless spring of force constant k. The maximum compression in the spring is h/4, then spring constant k is (Assume the block stick with pan after collision)

(A) 40 mgh

(B) mgh

(C) 2mg

h (D) 20 mg

h

47. The radii of two soap bubbles are R1 and R2 respectively. The ratio of masses of air in them will be : (atmospheric pressure is P0 and surface tension is s)

(A) 3132

RR

(B) 3231

RR

(C) 3

1 132

2

4

4

SPR RS RP

R

(D) 3

2 231

1

4

4

SPR R

S RPR

48. The potentiometer wire shown in figure has length 100 cm and resistance 500Ω . Balanced length for a cell having emf 12V is found to be 40 cm.

Then R is : (A) 4000Ω (B) 3000Ω

(C) 1500Ω (D) 1000Ω

49. In LC circuit the maximum charge on the capacitor is Q0. Find the maximum value of current in the circuit. (Capacitance = C, and inductance = L)

(A) 02

QLC

(B) 0QLC

(C) 02QLC

(D) 032

QLC

50. Two waves are represented 1 22

and3

Y a sin kx t Y a sin kx t

. Then their resultant amplitude

is : (A) a (B) 2a (C) 3a (D) 2a

51. If one mole monatomic gas is mixed with one mole of a diatomic gas, the value of for the mixture is :

(A) 1.40 (B) 1.50 (C) 1.53 (D) 3.07

52. There are two pipes each of length 2 m, one is closed at one end and other is open at both ends. The speed of sound in air is 340 m/s. The frequency at which both can resonate is :

(A) 340 Hz (B) 510 Hz (C) 42.5 Hz (D) None of these

Paragraph for Q.53 - 54

A tank of base area 4 m2 is initially filled with water up to height 2m An object of uniform cross-section 2m2 and height 1 m is now suspended by wire into the tank, keeping distance between base of tank and that of object 1m. Density of the object is 2000 kg/m3. Take atmospheric pressure 105N/m2 ; g = 10 m/s2.

h m

G

EP = 120V R

1m

2A 2m 1m

24m


53. The downwards force exerted by the water on the top surface of the object is : (A) 2.0 × 105 N (B) 2.1 × 105 N (C) 2.2 × 105 N (D) 2.3 × 105 N

54. The tension in the wire is : (A) 0.1 × 105 N (B) 0.2 × 105 N (C) 0.3 × 105 N (D) 0.4 × 105 N

55. A metallic wire bent into a right abc moves with a uniform velocity v as shown in the figure. B is the strength

of uniform magnetic field perpendicular outward the plane of triangle. The net emf is and emf along ab is : (A) zero, zero

(B) zero, Bv (bc) with b positive (C) zero, Bv (bc) with a positive (D) Bv (bc) with b positive, zero

56. In a Young’s double slit experiment, light consisting of two wavelengths 7000Å and 6000Å is used to obtain

interference fringes. If the distance between the two slits is 1 mm and the distance between the plane of slits and screen is 100 cm, what is the minimum distance from central maximum where bright fringes due to both the wavelength coincide ?

(A) 0.54 cm (B) 0.62 cm (C) 0.42 cm (D) 0.28 cm

57. A resistance and inductance are connected in series across a voltage, 400 2 240V sin t volt and current is

found to be 4 240 4sin t / amp . Then the values of inductance and resistance are :

(A) 0 25 80Ω. H , (B) 0 5 60Ω. H , (C) 5

100Ω12

H , (D) None of these

58. Four particles each of mass m, are placed at the vertices of square and are moving along a circle of radius r under the influence of mutual gravitational attraction. The speed of each particle will be :

(A) 2 2 1

4

Gmr

(B)

Gmr

(C) 2 2 1Gm

r (D)

2 2Gmr

59. A radioactive material decays by simultaneous emission of two particles with respective half-lives 1620 years

and 810 years. The time (in years) after which 1

4of the material remains is:

(A) 1080 (B) 2430 (C) 3420 (D) 4860

60. The supply current in the following ideal diode (D2) circuit is :

(A) 0.75 mA

(B) 1.25 mA

(C) 4 mA

(D) 0.5 mA

12 Ωk

3 Ωk

5 Ωk

5 Ωk

10 Ωk

10 Ωk

+15V D1

D2

a

b

c

v

B


SECTION - III (Mathematics) 30 × 4 = 120


* * * * Vidyamandir wishes you the very best for AIEEE-2012 * * * *

vmc test 4

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