IIT-JEE Physics Sample Paper - 2
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physics
101. A moving body with a mass m1 strikes a body of mass m2 which is stationary. Assuming perfectly elastic impact, the ratio m1/m2 so as to decrease the velocity of first body to 1.5 times is....
1) 1/25 2) 2/5 3) 5 4) 25
102. A bullet of mass 100 gm moving with a velocity of 200 m/s just pierces through a plank of 100 cm thick. If it is 50 cm thick, it emerges with a velocity of
1) 25 m/s 2) 50 m/s 3) 100 / Ö3 m/s 4) 100Ö2 ms-1
103. A body of mass 2 kg is sliding down the inclined plane of inclination 300 with constant velocity. The coefficient of friction is 4/Ö3. Then force applied on the body parallel to the inclined plane
1) 9.8 N 2) 19.6 N 3) 29.4 N 4) 39.2 N
104. A metal box is dragged on the ground through a distance of 42 m. coefficient of friction between the box and the ground is 0.2. Then rise in temperature of the box if specific heat of material of the box is 0.98 CGS units and J = 4.2 J/Cal
1) 0.010 C 2) 0.020 C 3) 0.040 C 4) 0.050 C
105. A body of mass 1 gm is released down an inclined plane describes a circle of radius 10 cm in the vertical plane on reaching the bottom. The minimum height of that inclined plane is
1) 25 cm 2) 25 Ö2 cm 3) 24Ö3 cm 4) 12.5 cm
106. Two rigid bodies have the same angular momentum about their axes of symmetry. If the same torque is applied about their axes the ratio of the times after which they will be stopped is
1) 1:1 2) 1:2 3) 2:1 4) data is insufficient
107. Acceleration due to gravity on the surface of moon is 5th that at the surface of the earth. If radius of the moon is 4th that of the earth, ratio of the mass of the earth to mass of moon is
1) 20 2) 40 3) 60 4) 80
108. A particle mass M at rest decays into two particles of masses m1 and m2. The ratio of the de Broglie wavelengths of the particles, is
1) m1 2) m2 3) 1 : 1 4) Öm2
m2 m1 Öm1
109. A doubly ionised helium atom and a hydrogen ion are accelerated by the same p.d. The ratio of the velocities acquired by them is
1) 1:4 2) 4:1 3) Ö2:1 4) 1:Ö2
110. Two bodies M and N of equal masses are suspended from two separate massless springs of spring constants K1 and
1) 
2) 
3) 1 : 1 4) 
109. A doubly ionised helium atom and a hydrogen ion are accelerated by the same p.d. The ratio of the velocities acquired by them is
1) 1:4 2) 4:1 3) Ö2:1 4) 1:Ö2
110. Two bodies M and N of equal masses are suspended from two separate massless springs of spring constants K1 and
1) 
2) 
3) 
4) 
111. Two wires 1 and 2 have their youngs moduli, diameters and lengths in the ratio y1 : y2 = 1:3, d1 : d2 = 2:1 l1 : l2 = 5:1. If they are extended to the same extent by applying two different forces F1 and F2 , then F1 : F2 is
1) 8:11 2) 1:2 3) 3:5 4) 4:15
112. A tank is filled with a liquid and an orifice is made on the wall so that the horizontal range R of liquid rushing out is maximum. If H is the height of liquid in the tank from its base, then
1) 4R = H 2) 2R = H 3) R = H 4) 3R = H
113. The density of the liquid of real coefficient of cubical expension g is r at 00 C. When the liquid is heated to a temperature T the change in density will be
1) -r gT 2) r gT 3) -r (1 + gT) 4) r (1 + gT)
(1 + gT) (1 + gT) gT gT
114. 743 J of heat energy is needed to raise the temperature of 5 moles of an ideal gas by 2k at constant pressure. How much heat energy is needed to raise the temperature of the same mass of the gas by 2k at constant volume. Given, molar gas constant R = 8.3 Jk-1 mol-1
1) 826 J 2) 743 J 3) 660 J 4) none of these
115. If two balls, each of mass 0.06 kg, moving in opposite directions with speed 4 m/s, collide and rebound with the same speed, then the impulse imparted to each ball due to the other is
1) 0.48 kg m/s 2) 0.24 kg m/s 3) 0.81 kg m/s 4) zero
116. One end of a uniform wire of length L and of weight W is attached rigidly to a point in the ceiling and a weight w1 is suspended from its lower end. If S is the area of cross - section of the wire, the stress in the wire at a height 3L/4 from its lower end is
1) w1/s 2) (w1 + w/4)/s 3) (w1 + 3w/4)/s 4) (w1 + w)/s
117. When water flows at a rate Q through a capillary tube of radius r placed horizontally, a pressure difference P develops across the ends of the tube. If the radius of the tube is doubled and the rate of flow halved, the pressure difference becomes
1) P/32 2) P/8 3) P 4) 8P
118. A double convex lens has a focal length of 25 cm in air when it is dipped into a liquid of refractive index 4/3, its focal length is increased to 100 cm. Find the refractive index of the lens material
1) 1.5 2) 1.414 3) 1.25 4) 1.75
119. What is the mutual inductance of a pair of coils if a current change of six ampere in one coil causes the flux in the second coil of 2000 turns to change by 12 x 10-4 wb per turn
1) 0.4 H 2) 4 H 3) 0.8 H 4) 8 H
120. Calculate the voltage needed to balance an oil drop carrying 10 electrons when located between the plates of a capacitor which are 5 mm apart. (g = 10 ms2). The mass of oil drop is 3.2 x 10-6 kg
1) 1010 V 2) 1011 V 3) 1012 V 4) 1015 V
121. Two equally charged identical spheres A and B repel each other with a force of 2.0 x 10-5 N. Another identical uncharged sphere C is touched to A, then placed at the mid-point between A and B. What is the net electrostatic force on C
1) 2.0 x 10-5 N along CA 2) 2.0 x 10-5 N along CB
3) zero 4) 4.0 x 10-5 N along CA
122. A ray of light incident at an angle of 480 is refracted through a prism in its position of minimum deviation. The angle of prism is 600. Calculate the refractive index of the material of the prism (sin 480 = 0.74)
1) 1.48 2) 1.58 3) 1.5 4) 1.414
123. In an n-p-n transistor 1010 electrons enter the emitter in 10-6 S, 2% of the electrons are lost in the base. Calculate the current amplification factor in Common base configuration is (charge of the electron is 1.6 x 10-19 C)
1) 0.98 2) 98 3) 49 4) 0.49
124. In a given thermocouple, the emf at 2500 C and 500 C with respect to 00C are 40 mv and 5 mv respectively. Find the emf generated when the junctions are maintained at the temperature of 2500 C and 500 C
1) 45 mv 2) 35 mv 3) 50 mv 4) 40 mv
125. Given F1 + F2 = 16N and |`F1 +`F2 | = 8N and `F1 +`F2 is perpendicular to smaller force, then the individual forces are
1) 6N and 10N 2) 8N and 8N 3) 4N and 12N 4) 2N and 14N
126. The dimensions of 1/2 e0 E2 (e0 permittivity of free space, E : electric field intensity) is
1) MLT-1 2) ML2T-2 3) ML-1T-2 4) ML2T-1
127. The value of resistance is 10.845 W and the value of current is 3.23 ampere. The potential difference is 35.02935 volt. Its in significant number would be
1) 35 V 2) 35.0 V 3) 35.03 V 4) 35.029 V
128. The stable nucleus that has a radius half that of Fe56 is
1) Li7 2) Na21 3) S16 4) Ca40
129. A free neutron decays into a proton, an electron and ..........
1) a beta particle 2) an alpha particle 3) a neutrino 4) an antineutrino
130. The tip of a needle does not give a sharp image on the screen. This is due to
1) polarisation 2) intereference 3) diffraction 4) refraction
131. A p-n junction diode when forward biased has a drop of 0.5V which is assumed to be independent of current. If the want to use a 1.5 V battery to forward bias the diode, what should be the value of resistor used in series with the diode so that the maximum current does not exceed 5 mA
1) 200 W 2) 100 W 3) 150 W 4) 250 W
132. A magnetising field of 1600 Am-1 produces a magnetic flux of 2.4 x 10-5 wb in a bar of iron of cross - section 0.2 cm2 . calculate permeability
1) 7.5 x 10-4 TmA-1 2) 2.4 x 10-4 TmA-1 3) 2.4 x 10-5 TmA-1 4) 7.5 x 10-5 TmA-1
133. Two bar magnets are bound side by side, and are suspended so as to swing once 12 sec. when like poles are together. When the direction of one of the magnets is reversed, the combination makes 3.75 vibrations per minute. Compare the magnetic moments of the two magnets
1) 4 : 3 2) 25:7 3) 50:7 4) 7:23
134. Two magnets of magnetic moments M and Ö3 m joined to form a cross (+). The combination is suspended freely in a uniform magnetic field. In equilibrium position, the magnet of magnetic moment M makes an angle q with the field Find q
1) 300 2) 450 3) 600 4) 900
135. In the metre-bridge experiment with unknown resistance X in the left gap and known resistance of 60W in the right gap, null point is obtained at l cm from left. If the unknown resistance X is shorted by an equal resistance what should be the value of the known resistance in the right gap in order to get the null point at the same position
1) 30W 2) 60W 3) 45W 4) 90W
136. The rate of radiation from a black body at 00C is E. Then the rate of radiation from this black body at 2730 C is
1) 16 E 2) 8 E 3) 4 E 4) E
137. A capillary tube is immersed vertically in water such that the height of liquid column in it is 5 cm, this arrangement is taken in to a mine of depth 'd' and the height of the liquid, column is found to be 7.5 cm. If R is the radius of the earth, find 'd' in terms of 'R'
1) R/3 2) R/2 3) R/4 4) R/5
138. An air bubble rises from the bottom of a tank containing mercury. When it reaches the top of a tank, its volume becomes 1½ times. Depth of mercury in that tank is
1) 3.8 m 2) 0.76 m 3) 0.38 m 4) 0.5 m
139. Two persons of masses m and 2m are standing on a horizontal smooth surface of ice. They are initially seperated by a distance d. They are pulling each other holding a rope. They meet at a distance
1) 2d/3 from heavier person 2) d/3 from heavier person
3) 2d/4 from lighter person 4) d/3 from lighter person
140. A projectile is thrown with an initial velocity of (a`i + b`j) m/s. If the range of the projectile is twice the maximum height reached by it, then
1) b = a/2 2) b = a 3) b = 2a 4) b = 4a
141. A train moves towards a stationary observer with speed 34 m/s. The train sound a whistle and its frequency registered by the observer is n1. If the train's speed is reduced to 17 m/s, the frequency registered is n2 . If the speed of sound is 340 m/s, then the ratio n1 / n2
1) 18/19 2) 1/2 3) 2 4) 19/18
142. A transverse wave is represented by y = y0 sin { 2p/l (ut - x) } . For what value of l is the maximum particle velocity equal to twice the wave velocity
1) l = 2py0 2) l = 2py0 3) l = py0 4) l = py0
3 
2
143. A current is flowing in a circular coil of radius R and the magnetic field at its centre is B0. At what distance from the centre on the axis of the coil, the magnetic field will be B0/27
1) 2Ö3 R 2) 2Ö2 R 3) Ö3 R 4) 8R
144. A ball is projected vertically upwards with a certain initial speed. Another ball of the same mass is projected at angle of 600 with the vertical with the same initial speed. At the highest point , the ratio of their potential energies will be
1) 4:1 2) 3:2 3) 2:3 4) 1:4
145. A uniform rope of length 12m and mass 8 kg hangs vertically from a rigid support. A block of mass 1 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. What is the wave length of the pulse when it reaches the top of the rope
1) 0.06 m 2) 0.12 m 3) 0.18 m 4) 0.03 m
146. A string under a tension of 100 N emitting its fundamental note, gives 5 beats per second with a tuning tork. When the tension is increased to 121N again 5 beats per second are heard. The frequency of the fork is
1) 110 Hz 2) 105 hz 3) 95 Hz 4) 100 Hz
147. The needle of a deflection magnetometer shows a deflection of 450 due to a short bar magnet at a certain distancce in TanA position. If the distance is doubled, what will be the deflection
1) Tan-1 (Ö3/8) 2) Tan-1 (8) 3) Tan-1 (1/8) 4) Tan-1 (1/Ö3)
148. A horizontal wire carries 200 Ampere current below which another wire of linear density 20 x 10-3 kg m-1 hangs in air parallel to it at a distance of 2 cm, what is the current in this wire
1) 98 A 2) 49 A 3) 196 A 4) 490 A
149. Two waves originating from sources S1 and S2 having zero phase difference and common wavelength l will show completely destructive interference at a point P if S1P - S2P is
1) 5l 2) 3l/4 3) 2l 4) 11l/2
150. Two wires of the same material and having same volume but their cross sections are in the ratio 3 : 1. They are joined in series. The resistance of the thicker wire is 10W. The total resistance of the combination will be
1) 40 W 2) 40/3 W 3) 5/2 W 4) 100 W
PHYSICS
Q.No. 101-110 101 102 103 104 105 106 107 108 109 110
Ans: 3 4 3 2 1 1 4 3 4 4
Q.No. 111-120 111 112 113 114 115 116 117 118 119 120
Ans: 4 3 1 3 1 3 1 1 1 2
Q.No. 121-130 121 122 123 124 125 126 127 128 129 130
Ans: 1 1 3 2 1 3 2 1 4 3
Q.No. 131-140 131 132 133 134 135 136 137 138 139 140
Ans: 1 1 2 3 1 1 1 3 2 3
Q.No. 141-150 141 142 143 144 145 146 147 148 149 150
Ans: 4 4 2 1 3 2 3 1 4 4