JEE Main  Practise Test 1
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Question 1 of 120
1. Question
3 points
A body is allowed to slide on a frictional less track from rest undergravity. The track ends in a circular loop of diameter D. What should be the minimum height of the body in terms of D, so that it may successfully complete the loop?





Question 2 of 120
2. Question
3 points
Heat energy received by the earth from the sun is due to





Question 3 of 120
3. Question
3 points
Out of the following pairs, only one pair does not have identical dimensions. It is





Question 4 of 120
4. Question
3 points
The period of a satellite in a circular orbit of radius R is T. The period of another satellite in circular orbit of radius 4R is





Question 5 of 120
5. Question
3 points
The r.m.s. velocity of the molecules in the sample of helium is 5/7^{th}that of the molecules in the sample of hydrogen. If the temperature of the hydrogen sample is 0°C that of helium is





Question 6 of 120
6. Question
3 points
A body of M.I. of 5 kg m^{2}, rotating with an angular velocity of 6 rad/s, has the same kinetic energy as a mass of 20 kg, moving with a velocity of





Question 7 of 120
7. Question
3 points
Two wires of same material and radii r and 2r respectively are welded together end to end. The combination is used as a sonometer wire and kept under tension T. the welded point is midway between the two bridges. When stationary waves are set up in the composite wire, the joint is a node. Then the ratio of the number of loops formed in the thinner to thicker wire is,





Question 8 of 120
8. Question
3 points
The length of second’s pendulum on the surface of earth is 1 m. the length of same pendulum on the surface of moon, where acceleration due to gravity is (1/6)^{th} of the g on the surface of earth is





Question 9 of 120
9. Question
3 points
Two tuning forks A and B vibrating simultaneously produce 5 beats. Frequency of B is 512 Hz. It is seen that if one arm of a is filed, then the number of beats increases. Frequency of A will be





Question 10 of 120
10. Question
3 points
A body of mass 500 g is fastened to one end of a steel wire of length 2 m and area of crosssection 2 mm^{2}. if the breaking stress of he wire is 1.25 × 10^{7} N/m^{2}, then the maximum angular velocity with which the body can be rotated in a horizontal circle is





Question 11 of 120
11. Question
3 points
Water rises up to a height h_{1} in a capillary tube of radius r. the mass of the water lifted in the capillary tube is M. if the radius of the capillary tube is doubled, the mass of water that will rise in the capillary tube will be





Question 12 of 120
12. Question
3 points
A bucket containing water is tied to one end of a rope of length 2.5 m and rotated about the other end in a vertical circle. What should be the minimum velocity of the bucket at the highest point, so that the water in the bucket will not spill? (g = 10 m/s^{2})





Question 13 of 120
13. Question
3 points
A car is moving in a circular track of radius 10 metre with a constant speed of 10 m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of 1 metre long. The angle made by the rod with the track is





Question 14 of 120
14. Question
3 points
A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is





Question 15 of 120
15. Question
3 points
The earth intercepts approximately one billionth of the power radiated by the sun. if the surface temperature of the sun were to drop by a factor of 2, the average radiant energy incident on earth per second would reduce by factor of





Question 16 of 120
16. Question
3 points
One mole of ideal gas required 207 J heat to rise the temperature by 10°K when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same 10°K the heat required is (R = 8/3 J/mole °K)





Question 17 of 120
17. Question
3 points
The moment of inertia of a body about a given axis is 1.2 kg ´ metre^{2}. Initially, the body is at rest. In order to produce a rotating kinetic energy of 1500 joules, an angular acceleration of 25 radian/sec^{2} must be applied about that axis for a duration of





Question 18 of 120
18. Question
3 points
A body having moment of inertia about its axis of rotation equal to 3 kgm^{2} is rotating with angular velocity equal to 3 rad/s. kinetic energy of this rotating body is the same as that of a body of mass 27 kg moving with a speed of





Question 19 of 120
19. Question
3 points
The moment of inertia of a copper disc, rotating about an axis passing through its centre and perpendicular to its plane





Question 20 of 120
20. Question
3 points
A tube closed at one end and containing air, produces, when excited, the fundamental note of frequency 512 Hz. If the tube is open at both ends, the fundamental frequency that can be excited is (in Hz)





Question 21 of 120
21. Question
3 points
In Meld’s experiment, the string vibrates in 4 loops when a 50 gram weight is placed in the pan of weight 15 gram. The make the string to vibrate is 6 loops the weight that has to be removed from the pan is





Question 22 of 120
22. Question
3 points
A vibrating sonometer wire is in resonance with a tuning fork of frequency 150 Hz. If only one loop is formed on the wire and the length of one loop is 40 cm, then the velocity of transverse waves on the wire will be





Question 23 of 120
23. Question
3 points
Time period of simple pendulum of length l and a place where acceleration due to gravity is g is T. what is the period of a simple pendulum of the same length at a place where the acceleration due to gravity is 1.029 is,





Question 24 of 120
24. Question
3 points
A linear harmonic oscillator of force constant 2 ´ 10^{6} N/m and amplitude 0.01 m has a total mechanical energy of 100 J. it’s maximum potential energy is





Question 25 of 120
25. Question
3 points
If the amplitude of sound is doubled and the frequency reduced to onefourth, the intensity of sound at the same point will be





Question 26 of 120
26. Question
3 points
Frequency of tuning forks are 320 Hz. And 325 Hz. If they are sounded together, the beat period is





Question 27 of 120
27. Question
3 points
A wire of length L, radius r, when stretched with a force F, changes in length l. what will be the change in length in a wire of same material having length 2 L, radius 2 r and stretched by a force of 2 F





Question 28 of 120
28. Question
3 points
In a wire, when the elongation is 2 cm, the energy stored is E. if the wire is stretched by 10 cm, then the energy stored in the wire will be





Question 29 of 120
29. Question
3 points
There is no change in the volume of a wire due to change in its length on stretching. The poison’s ration of the material of the wire is





Question 30 of 120
30. Question
3 points
In a surface tension experiment with a capillary tube water rises up to 0.1 m. if the same experiment is repeated on an artificial satellite which is revolving around the earth. The rise of water in a capillary tube will be





Question 31 of 120
31. Question
3 points
One thousand small water droplets of equal size combine to form a big drop. The ratio of the final surface energy to the initial surface energy is
(Surface tension of water = 70 dyne/cm)





Question 32 of 120
32. Question
3 points
5 g of water rises in the bore of capillary tube when it is dipped in water. If the radius of bore capillary tube is doubled, the mass of water that rises in the capillary tube above the outside water level is





Question 33 of 120
33. Question
3 points
If the error in the measurement of the momentum of a particle is (+100%). Then the error in the measurement of kinetic energy is





Question 34 of 120
34. Question
3 points
A wire has length l = (6 ± 0.06) cm, radius, r = (0.5 ± 0.005)cm and mass m = (0.3 ± 0.003) g Maximum percentage error in density





Question 35 of 120
35. Question
3 points
The earth receives at its surface radiation from the sun at the rate of 1400 W/m^{2}. the distance of the centre of the sun from the surface of the earth is 1.5 ´ 10^{11} m and the radius of the sun is 7.0 ´ 10^{8} m. treating sun as a black body, it follows from the above data that its surface temperature is





Question 36 of 120
36. Question
3 points
A body cools from 50°C to 46°C in 5 minutes and to 40°C in the next 10 minutes. The surrounding temperature is





Question 37 of 120
37. Question
3 points
A particle moves for 20 s with velocity 3 m/s and then moves with velocity 4 m/s for another 20 s and finally moves with velocity 5 m/s for next 20 s. what is the average velocity of the particle?





Question 38 of 120
38. Question
3 points
A coin kept on a rotating gramophone disc just begins to slip if its centre is at a distance of 8 cm from the centre of the disc. The angular velocity of the gramophone disc is then doubled. Through what distance, the coin should be shifted towards the centre, so that the coin will just slip?





Question 39 of 120
39. Question
3 points
A fighter aeroplane flying in the sky dives with a speed of 360 km/hr in a vertical circle of radius 200 m. Weight of the pilot sitting in it is 75 kg. What will be the value of force with which the pilot presses his seat when the aeroplane is at highest position (g = 10 m/s^{2})





Question 40 of 120
40. Question
3 points
A tuning fork of frequency 480 Hz. Produces 10 beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces fewer beats per seconds then before?





Question 41 of 120
41. Question
3 points
For the given complex [CoCl_{2}(en)(NH_{3})_{2}]^{+}, the number of geometrical isomers, the number of optical isomers and total number of isomers of all type possible respectively are





Question 42 of 120
42. Question
3 points
Geometrical shapes of the complexes formed by the reaction of Ni^{2+} with Cl^{–}, CN^{–} and H_{2}O, respectively are





Question 43 of 120
43. Question
3 points
An organic compound A(C_{4}H_{9}Cl) on reaction with Na/diethyl ether gives a hydrocarbon which on monochlorination gives only one chloro derivative then, A is





Question 44 of 120
44. Question
3 points
An oxygen containing organic compound upon oxidation forms a carboxylic acid as the only organic product with its molecular mass higher by 14 units. The organic compound is





Question 45 of 120
45. Question
3 points
One mole of a symmetrical alkane on ozonolysis gives two moles of an aldehyde having molecular mass of 44u. The alkene is





Question 46 of 120
46. Question
3 points
One mole of an organic compound ‘A’ with the formula C_{3}H_{8}O reacts completely with two moles of HI to form X and Y. When ‘Y’ is boiled with aqueous alkali it forms Z. Z answers the iodoform test. The compound ‘A’ is





Question 47 of 120
47. Question
3 points
Peroxide ion __.
a) is diamagnetic.
b) has five completely filled antibonding molecular orbitals.
c) is isoelectronic with neon.
d) has bond order one.
Which one of these is correct?





Question 48 of 120
48. Question
3 points
Malleability and ductility of metals can be accounted due to





Question 49 of 120
49. Question
3 points
The rate of a chemical reaction doubles for every 10°C rise of temperature. If the temperature is raised by 50°C, the rate of the reaction increases by about





Question 50 of 120
50. Question
3 points
Arsenic containing medicine used for the treatment of syphilis, is





Question 51 of 120
51. Question
3 points
The artificial sweetener containing chlorine that has the appearance and taste as that of sugar and is stable at cooking temperature is





Question 52 of 120
52. Question
3 points
An excess of AgNO_{3} is added to 100 mL of a 0.01 M solution of dichlorotetraaquachromium(III) chloride. The number of moles of AgCl precipitated would be





Question 53 of 120
53. Question
3 points
Which of the following statements about the interstitial compounds is incorrect?





Question 54 of 120
54. Question
3 points
For the reduction of silver ions with copper metal the standard cell potential was found to be +0.46V at 25°C. The value of standard Gibbs energy, ΔG° wll be (F = 96500 C mol^{–}^{1})





Question 55 of 120
55. Question
3 points
The highest electrical conductivity of the following aqueous solutions is of





Question 56 of 120
56. Question
3 points
H_{2}S is passed into one dm^{3} of a solution containing 0.1 mole of Zn^{2+} and 0.01 mole of Cu^{2+}till the sulphide ion concentration reaches 8.1 × 10^{–19} moles. Which one of the following statements is true?
[K_{sp} of ZnS and CuS are 3 × 10^{–22} and
8 × 10^{–36} respectively]





Question 57 of 120
57. Question
3 points
A vessel at 1000 K contains CO_{2} with a pressure of 0.5 atm. Some of the CO_{2} is converted into CO on the addition of graphite. If the total pressure at equilibrium is 0.8 atm, the value of K is





Question 58 of 120
58. Question
3 points
Ozonolysis of an organic compound ‘A’ produces acetone and propionaldehyde in equimolar mixture. Identify ‘A’ from the following compounds





Question 59 of 120
59. Question
3 points
Which branched chain isomer of the hydrocarbon with molecular mass 72u gives only one isomer of mono substituted alkyl halide?





Question 60 of 120
60. Question
3 points
Three reactions involving H_{2}PO_{4}^{– }are given below
(i) H_{3}PO_{4} + H_{2}O ® H_{3}O^{+} + H_{2}PO_{4}^{–}
(ii) H_{2}PO_{4}^{–} + H_{2}O ® HPO_{4}^{2}^{–} + H_{3}O^{+}
(iii) H_{2}PO_{4}^{–} + OH^{–} ® H_{3}PO_{4} + O^{2}^{–}
In which of the above does H_{2}PO_{4}^{–} act as an acid?





Question 61 of 120
61. Question
3 points
Which one of the following statements is not true?





Question 62 of 120
62. Question
3 points
The monomers of BunaS rubber are





Question 63 of 120
63. Question
3 points
AB crystallizes in a body centred cubic lattice with edge length ‘a’ equal to 387 pm. The distance between two oppositively charged ions in the lattice is





Question 64 of 120
64. Question
3 points
The appearance of colour in solid alkali metal halides is generally due to





Question 65 of 120
65. Question
3 points
Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solution is





Question 66 of 120
66. Question
3 points
1.00 g of nonelectrolyte solute (molar mass 250 g mol^{–}^{1}) was dissolved in 51.2 g of benzene. If the freezing point depression constant, K_{f }of benzene is 5.12 K kg mol^{–}^{1}, the freezing point of benzene will be lowered by





Question 67 of 120
67. Question
3 points
In a flask of ‘V’ litres, 0.2 moles of O_{2}, 0.4 moles of N_{2}, 0.1 moles of NH_{3} and 0.3 moles of He gases are present at 27°C. If total pressure exerted by these nonreacting gases is 1 atm, the partial pressure exerted by N_{2} gas is





Question 68 of 120
68. Question
3 points
Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas?





Question 69 of 120
69. Question
3 points
The energy of an electron in first Bohr orbit of Hatom is –13.6 eV. The possible energy value of electron in the excited state of Li^{2+} is





Question 70 of 120
70. Question
3 points
Consider the ground state of Cr atom (Z = 24). The numbers of electrons with the azimuthal quantum numbers, l = 1 and 2 are, respectively:





Question 71 of 120
71. Question
3 points
Which one of the following is an example for homogenous catalysis?





Question 72 of 120
72. Question
3 points
Standard enthalpy of vapourisation D_{vap}H^{Q} for water at 100° C is 40.66 kJmol^{–1}. The internal energy of vapourisation of water at 100°C (in kJmol^{–1}) is
(Assume water vapour to behave like an ideal gas)





Question 73 of 120
73. Question
3 points
Consider the reaction :
4NO_{2(g)} + O_{2(g)} ® 2N_{2}O_{5(g)}, Δ_{r}H = –111kJ.
If N_{2}O_{5(s)} is formed instead of N_{2}O_{5(g)} in the above reaction, the Δ_{r}H value will be:
(given, ΔH of sublimation for N_{2}O_{5} is 54 kJ mol^{–1})





Question 74 of 120
74. Question
3 points
The standard enthalpy of formation of NH_{3} is –46.0 kJ mol^{–1}. If the enthalpy of formation of H_{2} from its atoms is –436 kJ mol^{–1} and that of N_{2} is –712 kJ mol^{–1}, the average bond enthalpy of N — H bond is NH_{3}is





Question 75 of 120
75. Question
3 points
Which of the following is a fully fluorinated polymer?





Question 76 of 120
76. Question
3 points
The packing efficiency of the two dimensional square unit cell shown is





Question 77 of 120
77. Question
3 points
A solution has 1 : 4 mole ratio of pentane to hexane. The vapour pressure of pure hydrocarbons at 20°C are 400 mm Hg for pentane and 120 mm Hg for hexane. The mole fraction of pentane in the vapour phase would be





Question 78 of 120
78. Question
3 points
Solution of urea (mol. mass = 56 g mol^{–}^{1}) boils at 100.18°C at the atmospheric pressure. If K_{f}and K_{b} for water are 1.86 and 0.512 K kg mol^{–}^{1} respectively, then the above solution will freeze at





Question 79 of 120
79. Question
3 points
4 gms of an ideal gas occupies 5.6035 liters of volume at 546K and 2atm pressure. What is its molecular weight?





Question 80 of 120
80. Question
3 points
Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 × 10^{3} ms^{−1}
(Mass of prot × 10^{−27} kg and h = 6.63 × 10^{−34} Js )





Question 81 of 120
81. Question
3 points
Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?





Question 82 of 120
82. Question
3 points
Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?





Question 83 of 120
83. Question
3 points
A study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the women were married 2 or more times. In a group of 5, 000 women based on the study results, how many would likely be married 2 or more times?





Question 84 of 120
84. Question
3 points
The probability of a man hitting a target is 3/4. He tries 5 times. The probability that the target will be hit at least 3 times, is





Question 85 of 120
85. Question
3 points
Three mangoes and three apples are kept in a box. If two fruits are selected at random from the box, the probability that the selection will contain one mango and one apple, is





Question 86 of 120
86. Question
3 points
A fireman is firing at a distant target and has only 10% chance of hitting it. The number of rounds, he must fire in order to have 50% chance of hitting it at least once is





Question 87 of 120
87. Question
3 points
If
the
cube
roots
of
unity are
1, ω, ω^{2},
then
the
roots of the
equation
( x –
1 )^{3} + 8 = 0
are





Question 88 of 120
88. Question
3 points
The number 0.0009875 when rounded off to three significant digits.





Question 89 of 120
89. Question
3 points
The number of significant digits in the number 305.030060 is





Question 90 of 120
90. Question
3 points
In a 12storey house ten people enter a lift cabin.It is known that they will leave the lift in groups of 2,3 and 5 people at different storeys. The number of ways they can do so if the lift does not stop up to the second storey is





Question 91 of 120
91. Question
3 points
A committee of 5 is to be formed from 9 Ladies and 8 men. If the committee commands a lady majority, then the number of ways this can be done is





Question 92 of 120
92. Question
3 points
If a polygon has 44 diagonals ,then the number of its sides are





Question 93 of 120
93. Question
3 points
A G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd places, then the common ratio will be





Question 94 of 120
94. Question
3 points
Value of the determinant is





Question 95 of 120
95. Question
3 points
Both roots of the equation (xa)(xb) + (xb)(xc) + (xc)(xa) = 0 are





Question 96 of 120
96. Question
3 points
If A is symmetric, then A^{n} for n N is





Question 97 of 120
97. Question
3 points
If the value of a third order determinant is 11, then value of the determinant of its cofactors will be





Question 98 of 120
98. Question
3 points
If x^{2 }+ 6x – 27 > 0 and x^{2} – 3x – 4 < 0, then





Question 99 of 120
99. Question
3 points
If f : R R and g : R R defined by f(x) = 2x + 3 and g(x) = x^{2} + 7, then the value of x for which f(g(x)) = 25 are





Question 100 of 120
100. Question
3 points
If one of the roots of the equation px^{2} +qx + r = 0 is unity, then





Question 101 of 120
101. Question
3 points
If A is an invertible matrix, the det (A^{1}) is equal to





Question 102 of 120
102. Question
3 points
If f(x) = , then (fof)(2) is equal to





Question 103 of 120
103. Question
3 points
If l, m, n are real and l m, then roots of the equation (lm)x^{2 }– 5(l+m)x – 2(lm) = 0 are





Question 104 of 120
104. Question
3 points
If a b c, then one value of x which satisfies the equation = 0 is





Question 105 of 120
105. Question
3 points
If z_{1 }= + i and z_{2} = + i, then the complex number lies in the quadrant number





Question 106 of 120
106. Question
3 points
If A = {1,2,3}, B = {3,4}, C = {4,5,6}, then (A B) (B C) is equal to





Question 107 of 120
107. Question
3 points
If is a complex number such that is purely imaginary, then I z I is equal to





Question 108 of 120
108. Question
3 points
The locus represented by I z – 1I = I z + i I is





Question 109 of 120
109. Question
3 points
If A is the set of squares of natural numbers and ‘x’ and ‘y’ are any two elements of A, then the correct statement is





Question 110 of 120
110. Question
3 points
If each element of a determinant of third order with value A is multiplied by 4, then the value of the new determinant is





Question 111 of 120
111. Question
3 points
A survey of 200 Indians show that 140 like apples whereas 120 like cheese. Let n be the number of persons who like both apple and cheese. Then the value of n is





Question 112 of 120
112. Question
3 points
The equation has IxI^{2} + IxI 6 = 0 has





Question 113 of 120
113. Question
3 points
If (y – 2, x + 1) = (x – 1, 2), then values of x and y are





Question 114 of 120
114. Question
3 points
Value of the determinant, , where a b c, is





Question 115 of 120
115. Question
3 points
If = 1, then :





Question 116 of 120
116. Question
3 points
The set of all natural numbers ‘x’ such that 4x + 9 < 30 is equal to





Question 117 of 120
117. Question
3 points
The smallest positive integral value of n for which is





Question 118 of 120
118. Question
3 points
If A is a square matrix, then which of the following is not a symmetric matrix?





Question 119 of 120
119. Question
3 points
If is an imaginary cube root of unity, then is equal to





Question 120 of 120
120. Question
3 points
If X and Yare two sets, then X (Y X)^{‘} equals




JEE Main  Practise Test 1
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Question 1 of 120
1. Question
3 pointsA body is allowed to slide on a frictional less track from rest undergravity. The track ends in a circular loop of diameter D. What should be the minimum height of the body in terms of D, so that it may successfully complete the loop?

Question 2 of 120
2. Question
3 pointsHeat energy received by the earth from the sun is due to

Question 3 of 120
3. Question
3 pointsOut of the following pairs, only one pair does not have identical dimensions. It is

Question 4 of 120
4. Question
3 pointsThe period of a satellite in a circular orbit of radius R is T. The period of another satellite in circular orbit of radius 4R is

Question 5 of 120
5. Question
3 pointsThe r.m.s. velocity of the molecules in the sample of helium is 5/7^{th}that of the molecules in the sample of hydrogen. If the temperature of the hydrogen sample is 0°C that of helium is

Question 6 of 120
6. Question
3 pointsA body of M.I. of 5 kg m^{2}, rotating with an angular velocity of 6 rad/s, has the same kinetic energy as a mass of 20 kg, moving with a velocity of

Question 7 of 120
7. Question
3 pointsTwo wires of same material and radii r and 2r respectively are welded together end to end. The combination is used as a sonometer wire and kept under tension T. the welded point is midway between the two bridges. When stationary waves are set up in the composite wire, the joint is a node. Then the ratio of the number of loops formed in the thinner to thicker wire is,

Question 8 of 120
8. Question
3 pointsThe length of second’s pendulum on the surface of earth is 1 m. the length of same pendulum on the surface of moon, where acceleration due to gravity is (1/6)^{th} of the g on the surface of earth is

Question 9 of 120
9. Question
3 pointsTwo tuning forks A and B vibrating simultaneously produce 5 beats. Frequency of B is 512 Hz. It is seen that if one arm of a is filed, then the number of beats increases. Frequency of A will be

Question 10 of 120
10. Question
3 pointsA body of mass 500 g is fastened to one end of a steel wire of length 2 m and area of crosssection 2 mm^{2}. if the breaking stress of he wire is 1.25 × 10^{7} N/m^{2}, then the maximum angular velocity with which the body can be rotated in a horizontal circle is

Question 11 of 120
11. Question
3 pointsWater rises up to a height h_{1} in a capillary tube of radius r. the mass of the water lifted in the capillary tube is M. if the radius of the capillary tube is doubled, the mass of water that will rise in the capillary tube will be

Question 12 of 120
12. Question
3 pointsA bucket containing water is tied to one end of a rope of length 2.5 m and rotated about the other end in a vertical circle. What should be the minimum velocity of the bucket at the highest point, so that the water in the bucket will not spill? (g = 10 m/s^{2})

Question 13 of 120
13. Question
3 pointsA car is moving in a circular track of radius 10 metre with a constant speed of 10 m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of 1 metre long. The angle made by the rod with the track is

Question 14 of 120
14. Question
3 pointsA missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is

Question 15 of 120
15. Question
3 pointsThe earth intercepts approximately one billionth of the power radiated by the sun. if the surface temperature of the sun were to drop by a factor of 2, the average radiant energy incident on earth per second would reduce by factor of

Question 16 of 120
16. Question
3 pointsOne mole of ideal gas required 207 J heat to rise the temperature by 10°K when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same 10°K the heat required is (R = 8/3 J/mole °K)

Question 17 of 120
17. Question
3 pointsThe moment of inertia of a body about a given axis is 1.2 kg ´ metre^{2}. Initially, the body is at rest. In order to produce a rotating kinetic energy of 1500 joules, an angular acceleration of 25 radian/sec^{2} must be applied about that axis for a duration of

Question 18 of 120
18. Question
3 pointsA body having moment of inertia about its axis of rotation equal to 3 kgm^{2} is rotating with angular velocity equal to 3 rad/s. kinetic energy of this rotating body is the same as that of a body of mass 27 kg moving with a speed of

Question 19 of 120
19. Question
3 pointsThe moment of inertia of a copper disc, rotating about an axis passing through its centre and perpendicular to its plane

Question 20 of 120
20. Question
3 pointsA tube closed at one end and containing air, produces, when excited, the fundamental note of frequency 512 Hz. If the tube is open at both ends, the fundamental frequency that can be excited is (in Hz)

Question 21 of 120
21. Question
3 pointsIn Meld’s experiment, the string vibrates in 4 loops when a 50 gram weight is placed in the pan of weight 15 gram. The make the string to vibrate is 6 loops the weight that has to be removed from the pan is

Question 22 of 120
22. Question
3 pointsA vibrating sonometer wire is in resonance with a tuning fork of frequency 150 Hz. If only one loop is formed on the wire and the length of one loop is 40 cm, then the velocity of transverse waves on the wire will be

Question 23 of 120
23. Question
3 pointsTime period of simple pendulum of length l and a place where acceleration due to gravity is g is T. what is the period of a simple pendulum of the same length at a place where the acceleration due to gravity is 1.029 is,

Question 24 of 120
24. Question
3 pointsA linear harmonic oscillator of force constant 2 ´ 10^{6} N/m and amplitude 0.01 m has a total mechanical energy of 100 J. it’s maximum potential energy is

Question 25 of 120
25. Question
3 pointsIf the amplitude of sound is doubled and the frequency reduced to onefourth, the intensity of sound at the same point will be

Question 26 of 120
26. Question
3 pointsFrequency of tuning forks are 320 Hz. And 325 Hz. If they are sounded together, the beat period is

Question 27 of 120
27. Question
3 pointsA wire of length L, radius r, when stretched with a force F, changes in length l. what will be the change in length in a wire of same material having length 2 L, radius 2 r and stretched by a force of 2 F

Question 28 of 120
28. Question
3 pointsIn a wire, when the elongation is 2 cm, the energy stored is E. if the wire is stretched by 10 cm, then the energy stored in the wire will be

Question 29 of 120
29. Question
3 pointsThere is no change in the volume of a wire due to change in its length on stretching. The poison’s ration of the material of the wire is

Question 30 of 120
30. Question
3 pointsIn a surface tension experiment with a capillary tube water rises up to 0.1 m. if the same experiment is repeated on an artificial satellite which is revolving around the earth. The rise of water in a capillary tube will be

Question 31 of 120
31. Question
3 pointsOne thousand small water droplets of equal size combine to form a big drop. The ratio of the final surface energy to the initial surface energy is
(Surface tension of water = 70 dyne/cm)

Question 32 of 120
32. Question
3 points5 g of water rises in the bore of capillary tube when it is dipped in water. If the radius of bore capillary tube is doubled, the mass of water that rises in the capillary tube above the outside water level is

Question 33 of 120
33. Question
3 pointsIf the error in the measurement of the momentum of a particle is (+100%). Then the error in the measurement of kinetic energy is

Question 34 of 120
34. Question
3 pointsA wire has length l = (6 ± 0.06) cm, radius, r = (0.5 ± 0.005)cm and mass m = (0.3 ± 0.003) g Maximum percentage error in density

Question 35 of 120
35. Question
3 pointsThe earth receives at its surface radiation from the sun at the rate of 1400 W/m^{2}. the distance of the centre of the sun from the surface of the earth is 1.5 ´ 10^{11} m and the radius of the sun is 7.0 ´ 10^{8} m. treating sun as a black body, it follows from the above data that its surface temperature is

Question 36 of 120
36. Question
3 pointsA body cools from 50°C to 46°C in 5 minutes and to 40°C in the next 10 minutes. The surrounding temperature is

Question 37 of 120
37. Question
3 pointsA particle moves for 20 s with velocity 3 m/s and then moves with velocity 4 m/s for another 20 s and finally moves with velocity 5 m/s for next 20 s. what is the average velocity of the particle?

Question 38 of 120
38. Question
3 pointsA coin kept on a rotating gramophone disc just begins to slip if its centre is at a distance of 8 cm from the centre of the disc. The angular velocity of the gramophone disc is then doubled. Through what distance, the coin should be shifted towards the centre, so that the coin will just slip?

Question 39 of 120
39. Question
3 pointsA fighter aeroplane flying in the sky dives with a speed of 360 km/hr in a vertical circle of radius 200 m. Weight of the pilot sitting in it is 75 kg. What will be the value of force with which the pilot presses his seat when the aeroplane is at highest position (g = 10 m/s^{2})

Question 40 of 120
40. Question
3 pointsA tuning fork of frequency 480 Hz. Produces 10 beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces fewer beats per seconds then before?

Question 41 of 120
41. Question
3 pointsFor the given complex [CoCl_{2}(en)(NH_{3})_{2}]^{+}, the number of geometrical isomers, the number of optical isomers and total number of isomers of all type possible respectively are

Question 42 of 120
42. Question
3 pointsGeometrical shapes of the complexes formed by the reaction of Ni^{2+} with Cl^{–}, CN^{–} and H_{2}O, respectively are

Question 43 of 120
43. Question
3 pointsAn organic compound A(C_{4}H_{9}Cl) on reaction with Na/diethyl ether gives a hydrocarbon which on monochlorination gives only one chloro derivative then, A is

Question 44 of 120
44. Question
3 pointsAn oxygen containing organic compound upon oxidation forms a carboxylic acid as the only organic product with its molecular mass higher by 14 units. The organic compound is

Question 45 of 120
45. Question
3 pointsOne mole of a symmetrical alkane on ozonolysis gives two moles of an aldehyde having molecular mass of 44u. The alkene is

Question 46 of 120
46. Question
3 pointsOne mole of an organic compound ‘A’ with the formula C_{3}H_{8}O reacts completely with two moles of HI to form X and Y. When ‘Y’ is boiled with aqueous alkali it forms Z. Z answers the iodoform test. The compound ‘A’ is

Question 47 of 120
47. Question
3 pointsPeroxide ion __.
a) is diamagnetic.
b) has five completely filled antibonding molecular orbitals.
c) is isoelectronic with neon.
d) has bond order one.
Which one of these is correct?

Question 48 of 120
48. Question
3 pointsMalleability and ductility of metals can be accounted due to

Question 49 of 120
49. Question
3 pointsThe rate of a chemical reaction doubles for every 10°C rise of temperature. If the temperature is raised by 50°C, the rate of the reaction increases by about

Question 50 of 120
50. Question
3 pointsArsenic containing medicine used for the treatment of syphilis, is

Question 51 of 120
51. Question
3 pointsThe artificial sweetener containing chlorine that has the appearance and taste as that of sugar and is stable at cooking temperature is

Question 52 of 120
52. Question
3 pointsAn excess of AgNO_{3} is added to 100 mL of a 0.01 M solution of dichlorotetraaquachromium(III) chloride. The number of moles of AgCl precipitated would be

Question 53 of 120
53. Question
3 pointsWhich of the following statements about the interstitial compounds is incorrect?

Question 54 of 120
54. Question
3 pointsFor the reduction of silver ions with copper metal the standard cell potential was found to be +0.46V at 25°C. The value of standard Gibbs energy, ΔG° wll be (F = 96500 C mol^{–}^{1})

Question 55 of 120
55. Question
3 pointsThe highest electrical conductivity of the following aqueous solutions is of

Question 56 of 120
56. Question
3 pointsH_{2}S is passed into one dm^{3} of a solution containing 0.1 mole of Zn^{2+} and 0.01 mole of Cu^{2+}till the sulphide ion concentration reaches 8.1 × 10^{–19} moles. Which one of the following statements is true?
[K_{sp} of ZnS and CuS are 3 × 10^{–22} and
8 × 10^{–36} respectively] 
Question 57 of 120
57. Question
3 pointsA vessel at 1000 K contains CO_{2} with a pressure of 0.5 atm. Some of the CO_{2} is converted into CO on the addition of graphite. If the total pressure at equilibrium is 0.8 atm, the value of K is

Question 58 of 120
58. Question
3 pointsOzonolysis of an organic compound ‘A’ produces acetone and propionaldehyde in equimolar mixture. Identify ‘A’ from the following compounds

Question 59 of 120
59. Question
3 pointsWhich branched chain isomer of the hydrocarbon with molecular mass 72u gives only one isomer of mono substituted alkyl halide?

Question 60 of 120
60. Question
3 pointsThree reactions involving H_{2}PO_{4}^{– }are given below
(i) H_{3}PO_{4} + H_{2}O ® H_{3}O^{+} + H_{2}PO_{4}^{–}
(ii) H_{2}PO_{4}^{–} + H_{2}O ® HPO_{4}^{2}^{–} + H_{3}O^{+}
(iii) H_{2}PO_{4}^{–} + OH^{–} ® H_{3}PO_{4} + O^{2}^{–}
In which of the above does H_{2}PO_{4}^{–} act as an acid?

Question 61 of 120
61. Question
3 pointsWhich one of the following statements is not true?

Question 62 of 120
62. Question
3 pointsThe monomers of BunaS rubber are

Question 63 of 120
63. Question
3 pointsAB crystallizes in a body centred cubic lattice with edge length ‘a’ equal to 387 pm. The distance between two oppositively charged ions in the lattice is

Question 64 of 120
64. Question
3 pointsThe appearance of colour in solid alkali metal halides is generally due to

Question 65 of 120
65. Question
3 pointsDissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solution is

Question 66 of 120
66. Question
3 points1.00 g of nonelectrolyte solute (molar mass 250 g mol^{–}^{1}) was dissolved in 51.2 g of benzene. If the freezing point depression constant, K_{f }of benzene is 5.12 K kg mol^{–}^{1}, the freezing point of benzene will be lowered by

Question 67 of 120
67. Question
3 pointsIn a flask of ‘V’ litres, 0.2 moles of O_{2}, 0.4 moles of N_{2}, 0.1 moles of NH_{3} and 0.3 moles of He gases are present at 27°C. If total pressure exerted by these nonreacting gases is 1 atm, the partial pressure exerted by N_{2} gas is

Question 68 of 120
68. Question
3 pointsWhich one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas?

Question 69 of 120
69. Question
3 pointsThe energy of an electron in first Bohr orbit of Hatom is –13.6 eV. The possible energy value of electron in the excited state of Li^{2+} is

Question 70 of 120
70. Question
3 pointsConsider the ground state of Cr atom (Z = 24). The numbers of electrons with the azimuthal quantum numbers, l = 1 and 2 are, respectively:

Question 71 of 120
71. Question
3 pointsWhich one of the following is an example for homogenous catalysis?

Question 72 of 120
72. Question
3 pointsStandard enthalpy of vapourisation D_{vap}H^{Q} for water at 100° C is 40.66 kJmol^{–1}. The internal energy of vapourisation of water at 100°C (in kJmol^{–1}) is
(Assume water vapour to behave like an ideal gas)

Question 73 of 120
73. Question
3 pointsConsider the reaction :
4NO_{2(g)} + O_{2(g)} ® 2N_{2}O_{5(g)}, Δ_{r}H = –111kJ.
If N_{2}O_{5(s)} is formed instead of N_{2}O_{5(g)} in the above reaction, the Δ_{r}H value will be:
(given, ΔH of sublimation for N_{2}O_{5} is 54 kJ mol^{–1})

Question 74 of 120
74. Question
3 pointsThe standard enthalpy of formation of NH_{3} is –46.0 kJ mol^{–1}. If the enthalpy of formation of H_{2} from its atoms is –436 kJ mol^{–1} and that of N_{2} is –712 kJ mol^{–1}, the average bond enthalpy of N — H bond is NH_{3}is

Question 75 of 120
75. Question
3 pointsWhich of the following is a fully fluorinated polymer?

Question 76 of 120
76. Question
3 pointsThe packing efficiency of the two dimensional square unit cell shown is

Question 77 of 120
77. Question
3 pointsA solution has 1 : 4 mole ratio of pentane to hexane. The vapour pressure of pure hydrocarbons at 20°C are 400 mm Hg for pentane and 120 mm Hg for hexane. The mole fraction of pentane in the vapour phase would be

Question 78 of 120
78. Question
3 pointsSolution of urea (mol. mass = 56 g mol^{–}^{1}) boils at 100.18°C at the atmospheric pressure. If K_{f}and K_{b} for water are 1.86 and 0.512 K kg mol^{–}^{1} respectively, then the above solution will freeze at

Question 79 of 120
79. Question
3 points4 gms of an ideal gas occupies 5.6035 liters of volume at 546K and 2atm pressure. What is its molecular weight?

Question 80 of 120
80. Question
3 pointsCalculate the wavelength (in nanometer) associated with a proton moving at 1.0 × 10^{3} ms^{−1}
(Mass of prot × 10^{−27} kg and h = 6.63 × 10^{−34} Js )

Question 81 of 120
81. Question
3 pointsTwo cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?

Question 82 of 120
82. Question
3 pointsJim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?

Question 83 of 120
83. Question
3 pointsA study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the women were married 2 or more times. In a group of 5, 000 women based on the study results, how many would likely be married 2 or more times?

Question 84 of 120
84. Question
3 pointsThe probability of a man hitting a target is 3/4. He tries 5 times. The probability that the target will be hit at least 3 times, is

Question 85 of 120
85. Question
3 pointsThree mangoes and three apples are kept in a box. If two fruits are selected at random from the box, the probability that the selection will contain one mango and one apple, is

Question 86 of 120
86. Question
3 pointsA fireman is firing at a distant target and has only 10% chance of hitting it. The number of rounds, he must fire in order to have 50% chance of hitting it at least once is

Question 87 of 120
87. Question
3 pointsIf the cube roots of unity are 1, ω, ω^{2}, then the roots of the equation ( x – 1 )^{3} + 8 = 0 are 
Question 88 of 120
88. Question
3 pointsThe number 0.0009875 when rounded off to three significant digits.

Question 89 of 120
89. Question
3 pointsThe number of significant digits in the number 305.030060 is

Question 90 of 120
90. Question
3 pointsIn a 12storey house ten people enter a lift cabin.It is known that they will leave the lift in groups of 2,3 and 5 people at different storeys. The number of ways they can do so if the lift does not stop up to the second storey is

Question 91 of 120
91. Question
3 pointsA committee of 5 is to be formed from 9 Ladies and 8 men. If the committee commands a lady majority, then the number of ways this can be done is

Question 92 of 120
92. Question
3 pointsIf a polygon has 44 diagonals ,then the number of its sides are

Question 93 of 120
93. Question
3 pointsA G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd places, then the common ratio will be

Question 94 of 120
94. Question
3 pointsValue of the determinant is

Question 95 of 120
95. Question
3 pointsBoth roots of the equation (xa)(xb) + (xb)(xc) + (xc)(xa) = 0 are

Question 96 of 120
96. Question
3 pointsIf A is symmetric, then A^{n} for n N is 
Question 97 of 120
97. Question
3 pointsIf the value of a third order determinant is 11, then value of the determinant of its cofactors will be

Question 98 of 120
98. Question
3 pointsIf x^{2 }+ 6x – 27 > 0 and x^{2} – 3x – 4 < 0, then

Question 99 of 120
99. Question
3 pointsIf f : R R and g : R R defined by f(x) = 2x + 3 and g(x) = x^{2} + 7, then the value of x for which f(g(x)) = 25 are

Question 100 of 120
100. Question
3 pointsIf one of the roots of the equation px^{2} +qx + r = 0 is unity, then

Question 101 of 120
101. Question
3 pointsIf A is an invertible matrix, the det (A^{1}) is equal to

Question 102 of 120
102. Question
3 pointsIf f(x) = , then (fof)(2) is equal to

Question 103 of 120
103. Question
3 pointsIf l, m, n are real and l m, then roots of the equation (lm)x^{2 }– 5(l+m)x – 2(lm) = 0 are 
Question 104 of 120
104. Question
3 pointsIf a b c, then one value of x which satisfies the equation = 0 is

Question 105 of 120
105. Question
3 pointsIf z_{1 }= + i and z_{2} = + i, then the complex number lies in the quadrant number

Question 106 of 120
106. Question
3 pointsIf A = {1,2,3}, B = {3,4}, C = {4,5,6}, then (A B) (B C) is equal to

Question 107 of 120
107. Question
3 pointsIf is a complex number such that is purely imaginary, then I z I is equal to

Question 108 of 120
108. Question
3 pointsThe locus represented by I z – 1I = I z + i I is

Question 109 of 120
109. Question
3 pointsIf A is the set of squares of natural numbers and ‘x’ and ‘y’ are any two elements of A, then the correct statement is

Question 110 of 120
110. Question
3 pointsIf each element of a determinant of third order with value A is multiplied by 4, then the value of the new determinant is

Question 111 of 120
111. Question
3 pointsA survey of 200 Indians show that 140 like apples whereas 120 like cheese. Let n be the number of persons who like both apple and cheese. Then the value of n is

Question 112 of 120
112. Question
3 pointsThe equation has IxI^{2} + IxI 6 = 0 has

Question 113 of 120
113. Question
3 pointsIf (y – 2, x + 1) = (x – 1, 2), then values of x and y are

Question 114 of 120
114. Question
3 pointsValue of the determinant, , where a b c, is

Question 115 of 120
115. Question
3 pointsIf = 1, then :

Question 116 of 120
116. Question
3 pointsThe set of all natural numbers ‘x’ such that 4x + 9 < 30 is equal to

Question 117 of 120
117. Question
3 pointsThe smallest positive integral value of n for which is

Question 118 of 120
118. Question
3 pointsIf A is a square matrix, then which of the following is not a symmetric matrix?

Question 119 of 120
119. Question
3 pointsIf is an imaginary cube root of unity, then is equal to

Question 120 of 120
120. Question
3 pointsIf X and Yare two sets, then X (Y X)^{‘} equals