Statement 1: A solid sphere and a hollow sphere of same radius and same material are released (at rest ) from the top of a fixed inclined plane at the same time. They will reach the bottom simultaneously, if they roll with sliding.
Statement 2: In the situation of statement 1, the centres of both spheres have the same acceleration and they travel the same distance. Hence time taken is same.

Options

A. Statement-1 is true, Statement-2: is true, Statement-2 is a correct explanation for Statement-1.
B. Statement-1 is true, Statement-2: is true, Statement-2 is NOT a correct explanation for Statement-1.
C. Statement-1 is true but statement-2 is false
D. Both statement 1 false and statement 2 are true.

Answer

A

Explanation

The acceleration of centres of both spheres is `mug` up the incline. Since intial velocity of centres of both spheres is zero, they shall travell same distance in same time intervel. Hence statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.