Physics Past Paper Questions PDF

1) A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At the same time, a bullet of mass 0.02 Kg is fired vertically upward, with a velocity 100 m/s, from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches a...

1) A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At the same time, a bullet of mass 0.02 Kg is fired vertically upward, with a velocity 100 m/s, from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is (g = 10 m/s) (a) 10 m (b) 30 m (c) 20 m (d) 40 m 2) A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration 2m/s2 and the car has acceleration 4m/s2. The car will catch up with the bus after a time of (a) 120 s (b) 15 s (c) 2.82 s (d) 110 s 3) From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground is n times that taken by it to reach the highest point of its path. The relation between H, u and n is (a) gH = (n – 2)u2 (b) 2gH = n 2u2 (c) gH = (n – 2)2u2 (d) 2gH = nu2(n – 2) 4) From a building, two balls A and B are thrown such that A is thrown upwards and B downwards (both vertically). If vA and vB are their respective velocities on reaching the ground, then (a) vB > vA (b) vA = vB (c) vA > vB (d) their velocities depend on their masses 5) A ball is released from the top of a tower of height h metre. It takes T second to reach the ground. What is the position of the ball in T/3 second? (a) (h/9)metre from the ground (b) (7h/9) metre from the ground (c) (8h/9) metre from the ground (d) (17h/18) metre from the ground 6) A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight train when: (i) they are moving in the same direction, and (ii) in the opposite direction, is (a) 25/11 (b) 3/2 (c) 5/2 (d) 11/5 7) A parachutist after bailing out falls 50 m without friction. When the parachute opens, it decelerates at 2 m/s2. He reaches the ground with a speed of 3 m/s. At what height, did he bailout? (a) 293 m (b) 111 m (c) 91 m (d) 182 m 8) A car travels a distance of 'x' with speed v1 and then same distance 'x' with speed v2 in the same direction. The average speed of the car is : (a) v1v2/2(v1+v2) (b) 2v1v2/(v1+v2) (c) 2x/(v1+v2) (d) (v1+v2)/2 9) A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws n balls per second, the maximum height the balls can reach is (a) g/2n (b) g/n (c) 2gn (d) g/(2n^2) 10) The position of a particle as a function of time t, is given by x(t) = at + bt2 – ct3 where a, b and c are constants. When the particle attains zero acceleration, then its velocity will be : (a) a + (b^2/c) (b) a + (b^2/4c) (c) a + (b^2/3c) (d) a + (b^2/2c)