IIT-JEE Exam

Two solid cylinders P andQ of samemass and same radius start rolling down a fixed inclined plane form the
same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has
most of its mass concentrated near the axis. Which statement (s) is (are) correct?
(A) Both cylinders P and Q reach the ground at the same time
(B) Cylinder P has larger linear acceleration than cylinder Q.
(C) Both cylinder Q reaches the ground with same translational kinetic energy.
(D) Cylinder Q reaches the ground with larger angular speed

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IIT-JEE Other Question

Which of the following statements about the instantaneous axis (passing through the centre of mass) is
correct?
(A) It is vertical for both the cases (a) and (b).
(B) It is verticle for case (a); and is at 45° to the x-z plane and lies in the plane of the disc for case (b)
(C) It is horizontal ofr case (a); and is at 45° to the x - z plane and is normal to the plane of the disc for case
(b).
(D) It is vertical of case (a); and is at 45° to the x - z plane and is normal to the plane of the disc for case (b). A current carrying infinitely long wire is kept along the diameter of a circular wire loop,without touching it. The
correct statement (s) is (are) :
(A) the emf induced in the loop is zero if the current is constant.
(B) The emf induced in the loop is finite if the current is constant.
(C) The emf induced in the loop is zero if the current decreases at a steady rate.
(D) Theemf induced in the loop is finite if the current decreases at a steady rate.