jee main 2016 answer key paper i

JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016


(PAPER WITH SOLUTION) SET – G JEE (MAIN) 2016 MATHEMATICS

1. A value of for which 2 3 sin1 2 sin

ii

is purely imaginary, is:

Sol. (1) 1 1sin3

2. The system of linear equations ……………… for: Sol. (1) Exactly three values of

3. A wire ……………… formed is minimum, then: Sol. (4) x 2r

4. A man is ……………….. reach the pillar, is: Sol. (1) 5

5. Let two fair …………………… statements is NOT true? Sol. (1) 1 2 3E ,E and E are independent.

6. If the standard deviation …………………. Following is true? Sol. (3) 23a 32a 84 0

7. For ,x R log 2 sinf x x …………….. then:

Sol. (3) g' 0 cos log2

8. The distance ………………… x = y = z is: Sol. (2) 3 10

9. The eccentricity ………………… its foci, is:

Sol. (4) 23

10. Let P ……………………………. centre P is Sol. (2) 2 2x y 4x 8y 12 0

11. If 53 2a b

A

………………… is equal to:

Sol. (3) 5


12. Consider: 1 1 sintan , 0, .1 sin 2

xf x xx

……….. the point:

Sol. (3) 20,3

13. Two sides ……………… this rhombus?

Sol. (4) 1 8,3 3

14. If a curve y = f(x) …………...... is equal to:

Sol. (1) 45

15. If all the words ………………….. word SMALL is: Sol. (1) th59

16. If the 2nd, 5th …………….. this G.P. is:

Sol. (3) 43

17. If the number ………….. expansion, is: Sol. (1) 729

18. If the sum …………… them m is equal to: Sol. (3) 101

19. If the line, ………………………. Is equal to: Sol. (1) 2

20. The Boolean ……………. equivalent to: Sol. (4) p q

21. The integral…………….. is equal to:

Sol. (3)

10

25 3

x C2 x x 1

22. If one of the diameters …………… of S is Sol. (3) 5 3

23. 1/

2

1 2 .... 3lim

n

nn

n n nn

is equal to:

Sol. (3) 2

27e

24. The centres of …………… x-axis, lie on: Sol. (1) a parabola


25. Let ,a b and c ………………. a and b

is:

Sol. (1) 56

26. Let p = …………….. log p is equal to:

Sol. (4) 12

27. If 0 2 ,x ………….. is:

Sol. (4) 7

28. The sum of …………. The equation Sol. (2) 3

29. The area (in sq. units) …………………. is :

Sol. (3) 83

30. If 12 3 , 0,f x f x xx

………………………. Then S:

Sol. (4) Contains exactly two elements.


PHYSICS

31. A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge Q (having a charge equal to the sum of the charges on the 4 F

and 9 F capacitors). At a point distance 30 m from it, would equal:

Sol. (4) 420N / C

32. An observer looks at ……………………………………………………..the tree appears : Sol. (4) 20 times taller

33. Hysteresis loops ……………………………………………………………………to use : Sol. (1) B for electromagnets and transformers.

34. Half – lives ………………………………………………………………….. will be : Sol. (4) 1 : 4

35. A particle of ………………………………………………………………………the origin?

Sol. (3) RL mv a k2

when the particle is moving from C to D.

36. Choose the correct statement : …………………………………………………audio signal. Sol. (2) In amplitude modulation the amplitude of the high frequency carrier wave is made to

vary in proportion to the amplitude of the audio signal.

37. In an experiment ……………………………………………………………refractive index? Sol. (2) 1.5

38. ‘n’ moles of ………………………………………………………………………. will be :

Sol. (2) 0 09 P V4 nR

39. Two identical ……………………………………………………………………… is :

Sol. (1) 2

8 2

40. A screw gauge ………………………………………………………………scale line? Sol. (3) 0.80 mm

41. For a common emitter …………………………………………………………….. and is

Sol. (3) 1

42. The box of a ……………………………………………………………………..when : Sol. (4) a L and minb 4 L


43. A person trying to ……………………………………………………………… 2g 9.8 ms :

Sol. (1) 312.89 10 kg

44. Arrange the following, ………………………………………………………D : Radiowave. Sol. (2) D, B, A, C

45. An ideal gas undergoes ……………………………………………………respectively) :

Sol. (3) p

V

C Cn

C C

46. A satellite is ………………………………………………………………. atmosphere).

Sol. (1) gR 2 1

47. A galvanometer ……………………………………………………….. 10 A, is : Sol. (2) 0.01

48. Radiation of …………………………………………………………… electron will be :

Sol. (2) 124

3

49. If a, b, c, d are …………………………………………………………… gate is : Sol. (4) OR

50. The region between ……………………………………………………..constant, is :

Sol. (2) 2

Q2 a

51. A student measures ……………………………………………………… should be : Sol. () No option Match (Answer should be 92 1)

52. The temperature …………………………………………………………described by : Sol. (2) Linear increase for Cu, linear increase for Si.

53. Indentify the semiconductor ……………………………………………… (a), (b), (c), (d) : Sol. (2) Zener diode, Simple diode, Light dependent resistance, Solar cell

54. A roller is made …………………………………………………………. will tend to : Sol. (1) turn left and right alternately.

55. A pendulum clock …………………………………………………………….respectively : Sol. (2) 525 C; 1.85 10 / C

56. A uniform string of …………………………………………………………. 2g 9.8 ms : )

Sol. (1) 2 s


57. A point particle of mass ……………………………………………………… close to : Sol. (4) 0.29 and 3.5 m

58. A pipe open ………………………………………………………………….. now : Sol. (1) f

59. A particle performs ………………………………………………………….motion is :

Sol. (1) 7A3

60. An arc lamp requires …………………………………………………………close to: Sol. (1) 0.065 H


CHEMISTRY

61. Which one of the following statements about water is False? Sol. (4) There is extensive intramolecular hydrogen bonding in the condensed phase.

62. The concentration of fluoride, lead, nitrate and iron in a water sample from an underground lake was found to be 100 ppb, 40 ppb, 100 ppm and 0.2 ppm, respectively. This water is unsuitable for drinking due to high concentration of :

Sol. (3) Lead

63. Galvanization is applying a coating of : Sol. (1) Zn

64. Which one of the following complexes shows optical isomerism? Sol. (3) 22

cis Co en Cl Cl

65. Two closed bulbs of equal volume (V) containing an ideal gas initially at pressure lp and

temperature 1T are connected through a narrow tube of negligible volume as shown in the

figure below. The temperature of one of the bulbs is then raised to 2T . The final pressure fp

is :

Sol. (4) 2

1 2

T2pi

T T

66. The heats of combustion of carbon and carbon monoxide are 393.5 and 1283.5kJmol ,

respectively. The heat of formation (in kJ) of carbon monoxide per mole is: Sol. (1) 110.5

67. At 300 K and 1 atm, 15 mL of a gaseous hydrocarbon requires 375 mL air containing 20%

2O by volume for complete combustion. After combustion the gases occupy 330 mL.

Assuming that the water formed is in liquid form and the volumes were measured at the same temperature and pressure, the formula of the hydrocarbon is :

Sol. (4) 4 8C H

68. Decomposition of 2 2H O follows a first order reaction. In fifty minutes the concentration of

2 2H O decreases from 0.5 to 0.125 M in one such decomposition. When the concentration of

2 2H O reaches 0.05 M, the rate of formation of 2O will be :

Sol. (3) 4 16.93 10 mol min

69. The pair having the same magnetic moment is :

Sol. (3) 2

2 6Cr H O

and 2

2 6Fe H O

70. The species in which the N atom is in a state of sp hybridization is:


Sol. (2) 2NO

71. Thiol group is present in : Sol. (4) Cysteine

72. The pair in which phosphorous atoms have a formal oxidation state of + 3 is : Sol. (2) Orthophosphorous and pyrophosphorous acid

73. The distillation technique most suited for separating glycerol from spent-lye in the soap industry is :

Sol. (3) Fractional distillation

74. Which one of the following ores is best concentration by froth floatation method? Sol. (4) Galena

75. Which of the following atoms has the highest first ionization energy? Sol. (1) Sc

76. In the Hofmann bromamide drgradation reaction, the number of moles of NaOH and 2Br

used per mole of amine produced are : Sol. (1) Four moles of NaOH and one mole of 2Br .

77. Which of the following compounds is metallic and ferromagnetic? Sol. (3) 2CrO

78. Which of the following statements about low density polythene is False? Sol. (1) It is used in the manufacture of buckets, dust-bins etc.

79. 2-chloro-2-methylpentane on reaction with sodium methoxide in methanol yields: Sol. (2) All of these

80. A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron, respectively,

then the value of h

(where is wavelength associated with electron wave) is given by:

Sol. (1) 2meV

81. 18 g glucose 6 12 6C H O is added to 178.2 g water. The vapor pressure of water (in torr) for

this aqueous solution is : Sol. (4) 759.0

82. The product of the reaction given below is :

Sol. (3)


83. The hottest region of Bunsen flame shown in the figure below is: Sol. (3) region 2

84. The reaction of zinc with dilute and concentrated nitric acid, respectively, produces: Sol. (2) 2N O and 2NO

85. Which of the following is an anionic detergent? Sol. (3) Sodium lauryl sulphate

86. The reaction of propene with 2 2HOCl Cl H O proceeds through the intermediate:

Sol. (3) 3 2CH CH CH Cl

87. For a linear plot of xlogm

versus log p in a Freundlich adsorption isotherm, which of the

following statements is correct? (k and n are constants) Sol. (4) Only 1/n appears as the slope.

88. The main oxides formed on combustion of Li, Na and K in excess of air are, respectively : Sol. (1) 2 2 2 2Li O, Na O and KO

89. The equilibrium constant at 298 K for a reaction A B C D is 100. If the initial concentration of all the four species were 1 M each, then equilibrium concentration of D (in mol 1L ) will be :

Sol. (4) 1.818

90. The absolute configuration of is: Sol. (3) (2S, 3R)

END OF TEST PAPER

jee main 2016 answer key paper i

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