IIT-JEE Exam

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.

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IIT-JEE Other Question

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
Two spherical planets P andQ have the same unfirom density ,massesMP andMQ, an surface areas A and 4A, respectively. A spherical planet R also has unfirom density and its mass is (MP + MQ) . The escape velocities from the planets P, Q and R, are VP, VQ and V respectivley. Then
option
(A) VQ > VR > VP
(B) VR > VQ > VP
(C) VR/VP = 3
(D) VP /VQ =1/2