Jee Main 2016 Answer Key Paper i
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Transcript of Jee Main 2016 Answer Key Paper i
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
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
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
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
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
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.
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
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
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
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
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
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
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
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:
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
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)
JEE (MAIN) 2016 PAPER / SOLUTION / 03.04.2016
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 PAPER / SOLUTION / 03.04.2016