r horizon academy engg.pdfthe temperature coefficient of resistance for a wire is 0.00125/ c. at...

INSTRUCTIONS FOR STUDENTS1. Read each question carefully.2. It is mandatory to use Blue/Black

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Time : 3 Hrs. M.M. : 360

[Test No. 26]

EngineeringEntrance Exam.

2016HORI

ZON TEST SERIES(Divisions of Horizon Study Circle Pvt. Ltd.)

Medical IIT-JEE Foundations| |HORIZON ACADEMY R

Since 2003

Name.:Test No.:

Subject Code.:

Date :2

1

6

1 1

Topics of The Test

Test No. 26

H 2HORIZON ACADEMY :- B-3/41 A, YAMUNA VIHAR, WAZIRABAD ROAD, DELHI-53, (M) 9811139323, (O) 22922012

Maths Trignometric Functions + Principle of Mathematical Induction + Linear Inequalities+ Permutations and Combinations + Binomial Theorem.

Physics

Chemistry

Current-Electricity.

Chemistry in Every day life + Extraction

Test-26 (Objective) Horizon Test Series for Engineering-2016

3

Space for Rough Work



Test No. 26

[PHYSICS]1. A current of 4.0 A is present in a wire of cross-sectional

area 2.0 mm2. Find the number of free electrons in eachcubic metre of the wire, if the drift velocity is 2.1×10–4

m/s.(A) 6.0×1028m–3 (B) 3.6×1029m–3

(C) 7.0×1030m–3 (D) 8.2×3232m–3

2. The temperature coefficient of resistance for a wire is0.00125/°C. At 300K its resistance is 1 ohm. Thetemperature at which the resistance becomes 2 ohm is(A) 1154 K (B) 1100 K(C) 1400 K (D) 1127 K

3. In the part of a circuit shown in the figure, the potentialdifference between G and ( )G HH V V will be :

(A) 0 V (B) 15 V(C) 7 V (D) 3 V

4. In the network shown in figure, the equivalentresistance between the point A and B is :

(A) 3 (B) 2(C) 4 (D) 1

5. In the adjoining circuit, the battery 1 has an e.m.f. of12 volt and zero internal resistance while the battery has an e.m.f. of 2 volt. If the galvanometer G readszero, then the value of the resistance X in ohm is

(A) 10 (B) 100(C) 500 (D) 200

6. The terminal network shown in the figure consists of6 resistors. The points A,C and E all are potential 20 Vwhile points B,D and F are at potential –10 volt thenpotential of junction O will

(A) zero (B) 10 V(C) 15 V (D) –5 V

4




7. In the given network of four resistances, the equivalentresistance is :

(A) 20 (B) 5.4(C) 12 (D) 4.5

8. In the given mesh, each resistor has resistance R. Theeffective resistance between the terminals A and B is

(A)38R

(B) 2R

(C) R (D) 2 R9. Find equivalent resistance between A & B in the

following circuit

(A)32R

(B)23R

(C) 2 R (D) 3 R

10. Two batteries V1 and V2 are connected to three resistorsas shown below :

If V1 = 2 V and V2 = 0V, the current, i = 3 mA.If V1 = 0V and V2 = 4V, the current, i = 4 mA.Now, if V1= 10V and V2 = 10V, the current i will be(A) 7 mA (B) 15 mA(C) 20 mA (D) 25 mA

11. The current in 2 resistor in the circuit shown is :

(A)14

A (B)12

A

(C)34

A (D) 2A

12. Three batteries of negligible internal resistance andthree resistors of 4, 8 and 12 are connected as shownin figure here. The current through the 12 resistoris:

(A) 0.57 A (B) 1.09 A(C) 0.04 A (D) 1.14 A

5




13. The total current drawn from the battery is :

(A) 3A (B) 45A(C) 6A (D) 9A

14. In following circuit, key is closed at time t = 0, thenwhat will be current through battery at that time ?

(A) 3A (B) 1.5A(C) 2A (D) 6A

15. If equivalent resistance between points A and X is 5and equivalent resistance between A and B is 10then 2R is

(A) 2 (B) 5(C) 3 (D) 10

16. In following circuit, resistance of potentiometer wireis 10 . Power consumption in potentiometer wire issame when jocky is placed at 10 cm from end A or endB. Internal resistance of cell (r) is

(A) 5 (B) 6(C) 2 (D) 3

17. In the given figure, battery is balanced on 55 cmlength of potentiometer wire but when a resistance of10 is connected in parallel with the battery then itbalances on 50 cm length of the potentiometer wirethen internal resistance r of the battery is

(A) 1 (B) 3(C) 10 (D) 5

18. In the circuit shown the ammeter A reads a current of

1i amp. If key 1K is opened and 2K is closed ammeter

reads 2i , then

(A) 1 2i i (B) 1 2i i

(C) 1 2i i (D) depend on the value of R

6




19. If energy stored in the capacitors 1C and 2C are same,

then what is the value of 1

2

CC

?

(A)2536 (B)

136

(C)49 (D)

94

20. In the shown network charges in capacitors are same,

then 1

2

CC

is

(A) 5 : 3 (B) 1 : 1(C) 1 : 3 (D) 1 : 5

21. In the circuit shown in figure, the heat produced in 5ohm resistance is 10 cal/s. The heat produced in 4resistance is

(A) 1 cal/s (B) 2 cal/s(C) 3 cal/s (D) 4 cal/s

22. A torch bulb rated as 4.5 W, 1.5 V is connected asshown in the figure. The e.m.f of the cell needed tomake the bulb glow at full intensity is

(A) 4.5 V (B) 1.5 V(C) 2.67 V (D) 13.5 V

23. Find the power of the circuit

(A) 1.5 W (B) 2 W(C) 1 W (D) none of these

24. A battery of internal resistance 4 is connected tothe network of resistances as shown. In order to givethe maximum power to the network, the value of R(in ) should be

(A) 4/9 (B) 8/9(C) 2 (D) 18

7




25. The total current supplied to the circuit by the batteryis

(A) 1 A (B) 2 A(C) 4 A (D) 6 A

26. If 400 of resistance is made by adding four 100resistances of tolerance 5%, then the tolerance of thecombination is(A) 5% (B) 10%(C) 15% (D) 20%

27. In the circuit shown, the current in the 1 resistor is:

(A) 0.13 A, from Q to P(B) 0.13 A, from P to Q(C) 1.3A from P to Q(D) 0A

28. In the given circuit, with steady current, the potentialdrop across the capacitor must be

(A) V (B) V/2(C) V/3 (D) 2V/3

29. Three electric bulbs of 200W, 200 W and 400 W areshown in figure. The resultant power of thecombination is

(A) 800 W (B) 400 W(C) 200 W (D) 600 W

30. It is preferable to measure the e.m.f. of a cell bypotentiometer than by a voltmeter because of thefollowing possible reasons.(i) In case of potentiometer, no current flows through

the cell.(ii) The length of the potentiometer allows greater

precision.(iii) Measurement by the potentiometer is quicker.(iv) The sensitivity of the galvanometer, when using

a potentiometer is not relevant.Which of these reasons are correct ?(A) (i), (iii), (iv) (B) (i), (ii), (iv)(C) (i), (ii) (D) (i), (ii), (iii), (iv)

[CHEMISTRY]31. In electro-refining of copper, some gold is deposited

as(A) cathode mud (B) electrolyte(C) anode mud (D) cathode

32. Electrolytic refining is used to purify which of thefollowing metals ?(A) Cu and Zn (B) Ge and Si(C) Zr and Ti (D) Zn and Hg

33. The oil used as frothing agent in froth floatationprocess is

(A) coconut oil (B) castor oil(C) palmitic oil (D) pine oil

8




34. Mark the correct statements.(i) Mercury can be refined by the process of

distillation.(ii) In poling, the molten impure metal is stirred with

green poles of wood.(iii) In electrolytic refining of metals, impure metal is

made as cathode and a thin strip of pure metal ismade as anode.

(A) (i) and (ii) (B) (i) and (iii)(C) (ii) and (iii) (D) (i), (ii) and (iii)

35. Which of the following examples is not correctlymatched ?(A) Two metals which are extracted by electrolysis

of their fused salts - Na, Al(B) Two metals used for reduction - Al, Mg(C) Two metals which occur in native state - Au, Pt(D) Two metals which can occur in combined and

native state both - Zn, Fe36. Which of the following metals is extracted by

Bessemerisation ?(A) Mg (B) Al(C) Cu (D) Zn

37. Which of the following is an acidic refractory material?(A) CaO (B) MgO(C) Cr2O3 FeO (D) SiO2

38. Most electropositive metals are obtained from their oresby(A) autoreduction(B) smelting with carbon(C) electrolysis of fused salts(D) thermal decomposition

39. Silica is added to the sulphide ore of copper inreverberatory furnace because(A) Sulphide ore of copper contains iron as impurity

which is removed as iron slag(B) silica reacts with Cu2O to form slag(C) silica helps in reduction of Cu2O to Cu(D) Sulphide ore of copper is separated from iron by

reacting with silica

40. Which of the following are main requirements forvapour phase refining ?(i) Metal should form a volatile compound with the

reagent.(ii) The volatile compound should be easily

decomposable to give back pure metal.(iii) Metal should be very reactive and form a stable

compound with the reagent.(A) (i), (ii) and (iii) (B) (i) and (ii)(C) (ii) and (iii) (D) (i) and (iii)

41. Column chromatography involves separation of amixture over a column of adsorbent (stationary phase)packed in a glass tube. Depending upon the degree ofadsorption complete separation takes place. In thegiven column three coloured bands x, y, z are formed.Identify the correct statement.

(A) x,y and z adsorbed to the same extent.(B) The most readily adsorbed component is

retained near the top (x).(C) The most readily adsorbed component comes

down (z)(D) x,y,z layers are formed according to the

wavelengths of the colours not on the basis ofadsorption.

42. Following reactions take place during extraction ofgold.

2 2 24 8 2 4[ ( ) ] 4Au CN H O O Au CN OH

22 42[ ( ) ] 2 [ ( ) ]Au CN Zn Au Zn CN

Zinc in the extraction of gold acts as a(A) oxidising agent (B) flux(C) reducing agent (D) decomposing agent

9




43. Which of the following metals cannot be obtained byelectrolysis ?(A) Cr (B) Na(C) Ca (D) Mg

44. Which of the following slags is produced duringextraction of iron ?(A) CaSiO3 (B) FeSiO3(C) MgSiO3 (D) ZnSiO3

45. Removal of the unwanted materials like sand, clays,etc. from the ore is known as ........, ........or ........,(A) concentration, dressing, benefaction(B) separation, refining, gangue(C) magnetic separation, purification, gangue(D) washing, refining, amalgamation

46. Which of the following will not act as a tranquilizer?(A) Equanil (B) Analgin(C) Meprobamate (D) Chlordiazepoxide

47. Which of the following is not true about drugreceptors?(A) Receptor proteins are embedded in the cell

membrane.(B) The chemical known as chemical messengers are

received at the binding sites of receptors.(C) The receptors show selectivity for one chemical

messenger over the other.(D) Receptor protein is decomposed and destroyed

after removal of chemical messenger.48. The use of chemicals for treatment of diseases is called

(A) chemotherapy (B) physiotherapy(C) angiotherapy (D) polytherapy

49. Barbiturates acts as(A) hypnotic i.e., sleep producing agents(B) non-narcotic analgesics(C) activator of neurotransmitters(D) antiallergic drugs

50. Antiseptics are the chemicals which either ____ or_______ the growth of microorganisms and areapplied to the ______.(A) kill, prevent, living tissues(B) kill, prevent, non-living objects(C) increase, decrease, living tissues(D) kill, increase, non-living tissues

51. Which of the following is scientific explanation ofdepression ?(A) An increased level of sugar in the blood leads to

depression.(B) Low levels of noradrenaline, a neurotransmitter

in the blood leads to depression.(C) Release of extra gastric juices in the stomach leads

to depression.(D) Sleep inducing drugs lead to depression.

52. Which of the following defines the term opiates ?(A) Narcotic analgesics obtained from the opium

poppy.(B) Non-narcotic analgesics which reduce fever(C) Narcotic drugs that inhibit pathogenic microbes(D) Tranquilizers used to induce sleep.

53. Name an artifical sweetener which is derivative ofsucrose.(A) Saccharine (B) Sucrolose(C) Sucrobenzamide (D) Aspartame

54. Refrigeration helps in food preservation by(A) killing the germs(B) reducing the rates of biochemical reactions(C) Destroying enzyme action(D) decreasing the size of bacteria

55. Which of the following is not a correct statement ?(A) Transparent soaps are made by dissolving the

soap in ethanol and then evaporating excesssolvent.

(B) Soaps that float in water are made by beatingtiny air bubbles before their hardening.

(C) Medicated soaps contain alcohol to preventrapid drying.

(D) Potassium soaps are soft to the skin than sodiumsoaps.

56. Which of the following compounds represents ananalgesic ?

(A) (B)

10




(C) (D)

57. Identify the hydrophilic and hydrophobic parts in thefollowing non-ionic detergent present in liquiddetergents and wetting agents.

Hydrophobic part Hydrophilic part

(A)

(B)

(C)

(D)

58. Which of the following is not a true statement aboutthe detergents ?(A) Anionic detergents are sodium salts of

sulphonated long chain alcohols orhydrocarbons.

(B) Cationic detergents are quarternary ammoniumsalts of amines with acetates, chlorides orbromides as an ions.

(C) Non-ionic detergents do not contain any ion intheir constitution.

(D) Detergents containing branched hydrocarbonchains are biodegradable.

59. What is tincture of iodine ?(A) 2-3% solution of iodine in alcohol-water mixture.(B) A mixture of iodine in chloroxylenol(C) A mxture of 0.2% phenol and 2-3% iodine in

water(D) 2-3% solution of iodine in potassium iodide

60. Which of the following is not food additive ?(A) Preservatives (B) Sweetening agents(C) Flavours (D) Oxidants

[MATHEMATICS]61. If 2 2( ) cos sec ,f x x x then

(A) ( ) 1f x (B) ( ) 1f x

(C) 1 ( ) 2f x (D) ( ) 2f x

62. The value of 2

2

1 tan 151 tan 15

is

(A) 1 (B) 3

(C) 32

(D) 2

63. If tan 3 and lies in third quadrant, then the valueof sin is

(A)110 (B)

110

(C)310

(D)310

64. The value of tan 3 tan 2 tanA A A is equal to

(A) tan 3 tan 2 tanA A A

(B) tan 3 tan 2 tanA A A

(C) tan tan 2 tan 2 tan3 tan 3 tanA A A A A A (D) None of these

65. If 1 1tan ,tan ,7 3

then cos 2 is equal to

(A) sin2 (B) sin4

(C) sin3 (D) cos2

66. If tan ,ab

then cos2 sin 2b a is equal to

(A) a (B) b

(C)ab (D) None of these

11




67. For all 2 2 2 2 21,1 2 3 4 ...n n

(A)( 1)

6n n

(B) ( 1)(2 1)n n n

(C)( 1)(2 1)

2n n n

(D)( 1)(2 1)

6n n n

68. Let 2( ) 1 3 5 ... (2 1) 3S k k k . Then whichof the following is true ?

(A) ( ) ( 1)S k S k (B) ( ) ( 1)S k S k

(C) (1)S is correct (D) All of these

69. If ( )P n is a statement ( )n N such that, if ( )P k is true,

( 1)P k is true for k N , then ( )P n is true

(A) for all n (B) for all 1n

(C) for all 2n (D) nothing can be said

70. If ( ) 2 4 6 ... 2 , ,P n n n N then

( ) ( 1) 2 ( 1) ( 1)( 2) 2P k k k P k k k for all

.k N So, we can conclude that ( ) ( 1) 2P n n n forall

(A) n N (B) 1n

(C) 2n (D) none of these

71. If 210 3.4n n k is divisible by 9 for all ,n N thenthe least positive integral value of k is(A) 5 (B) 3(C) 7 (D) 1

72. For all 2 1 3 1,3.5 2n nn N is divisible by

(A) 19 (B) 17(C) 23 (D) 25

73. If 5,x then

(A) 5x (B) 5x

(C) 5x (D) 5x

74. If 3 17 13,x then

(A) (10, )x (B) [10, ]x

(C) ( ,10]x (D) [ 10,10)x

75. x and b are real numbers. If 0b and | | ,x b then

(A) ( , )x b (B) [ , )x b

(C) ( , )x b b (D) ( , ) ( , )x b b

76. The inequality representing the following graph is :

(A) | | 5x (B) | | 5x

(C) | | 5x (D) | | 5x

Directions (Q.No. 77 - 78) : Solution of a linear inequality invariable x is represented on number line. Choose thecorrect answer from the given four options in each ofthe following question.

77.

(A)9 ,2

x

(B)9 ,2

x

(C)9[ , )2

x (D)9( , ]2

x

78.

(A)7( , )2

x (B)7( , ]2

x

(C)7[ , )2

x (D)7( , )2

x

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79. The number of possible outcomes when a coin istossed 6 times is(A) 36 (B) 64(C) 12 (D) 32

80. The sum of the digits in unit place of all the numbersformed with the help of 3,4,5 and 6 taken all at a timeis

(A) 432 (B) 108(C) 36 (D) 18

81. A five digit number divisible by 3 is to be formed usingthe numbers 0,1,2,3,4 and 5, without repetition. Thetotal number of ways this can be done, is

(A) 216 (B) 600(C) 240 (D) 3125

82. The number of 5-digits telephone numbers havingatleast one of their digits repeated, is

(A) 90,000 (B) 10,000(C) 30,240 (D) 69,760

83. The total number of 9-digit numbers which have alldifferent digits is

(A) 10! (B) 9!(C) 9×9! (D) 10×10!

84. Given 5 different green dyes, four different blue dyesand three different red dyes, the number ofcombinations of dyes which can be chosen takingatleast one green and one blue dye is

(A) 3600 (B) 3720(C) 3800 (D) 3600

85. The total number of terms in the expansion of100 100( ) ( )x a x a after simplification is

(A) 50 (B) 202(C) 51 (D) none of these

86. Given the integers 1, 2,r n and coefficients of

(3 )thr and ( 2)thr terms in the binomial expansion of2(1 ) nx are equal, then

(A) 2n r (B) 3n r

(C) 2 1n r (D) none of these

87. The two successive terms in the expansion of 24(1 )xwhose coefficients are in the ratio 1 : 4 are

(A) 3rd and 4th (B) 4th and 5th

(C) 5th and 6th (D) 6th and 7th

88. The coefficient of xn in the expansion of (1+x)2n and(1+x)2n–1 are in the ratio

(A) 1 : 2 (B) 1 : 3(C) 3 : 1 (D) 2 : 1

89. If the coefficient of 2nd, 3rd and 4th terms in theexpansion of (1 )nx are in A.P., then value of n is

(A) 2 (B) 7(C) 11 (D) 14

90. If the middle term of 101 sinx x

x

is equal to 778 ,

then value of x is

(A) 26

n (B) 6

n

(C) ( 1)6

nn (D) ( 1)

3nn

r horizon academy engg.pdfthe temperature coefficient of resistance for a wire is 0.00125/ c. at...

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