This section contains 5 multiple correct answer(s) type questions each question has 4ioice (a), (b), (C) and (d). out of which ONE or MORE are correct.
5. Smooth inclined plane has anarg1e of inclination θ from the horizontal. From point A on the inclined plane, body 1 is projected horizontally with speed u and from point B on the inclined plane, body 2 is released from rest. Distance AB is equal to 1. If the magnitude of relative velocity of body 2 w.r.t. body 1 and magnitude of relative acceleration of body 2 w.r.t. body 1 at time t are v and ‘a’, respectively, then which of the following is/are true?
6. A square plate lies in the X-Y plane with its centre at the origin and its edges parallel to the X-Y axes. The moments of inertia about the X-Y-Z axes are IX, IY and IZ respectively and ID is the moment of inertia about its diagonal. Then
7. When an air bubble rises from the bottom of a deep lake to a point just below the water surface, the pressure of air inside the bubble
(a) is greater than the pressure outside it
(b) is less than the pressure outside it (c) increases as the bubble moves up
(d) decreases as the bubble moves up
8. A particle of mass m is at rest in a train moving with constant velocity with respect to ground. Now the particle is accelerated by a constant force F0 acting along the direction of motion of train for time t0. A girl in the train and a boy on the ground measure the work done by this force. Which of the following are incorrect?
(a) Both will measure the same work.
(b) Boy will measure higher value than the girl.
(c) Girl will measure higher value than the boy.
(d) Data are insufficient for the measurement of work done by the force F0.
9. A trolley filled with sand moves on a smooth horizontal surface with a velocity v0. A small hole. is made at the base of it from which sand is leaking out at constant rate. As the sand leaks out
(a) the velocity of the trolley increases
(b) the velocity of the trolley remains constant
(c) the momentum of the trolley is conserved
(d) the momentum of the total system (trolley + leaked out sand) is conserved.