Q. 105.0( 2 Votes )

# A hollow sphere and a solid sphere having same mass and same radii are rolled down a rough inclined plane.

A. The hollow sphere reaches the bottom first.

B. The solid sphere reaches the bottom with greater speed.

C. The solid sphere reaches the bottom with greater kinetic energy.

D. The two spheres will reach the bottom with same linear momentum

Answer :

Looking into the fig. –

But

or

But from the parallel axis theorem -

We know that the object with the smallest mass moment of inertia (I_{C}) will have the largest acceleration down the plane.

Solid Sphere:

And for Hollow Sphere:

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