A constant horizontal force F is applied on the top of a solid sphere and a hallow sphere of same mass and radiuis both kept on a sufficiently rough surface. Let `a_(S)` and `a_(H)` be their linear acceleration respectively, then

Options

A. `a_1=a_2`
B. `a_1gta_2`
C. `a_1lta_2`
D. data sufficient

Answer

2

Explanation

Taking torque about contact point, `F(2r)=(I_(CM)+mr^2)alpha and A_(CM)=ralpha``(F(2r)r)/((I_(CM))+mr^2)=A_(CM)` AS`I_(CM)uparrow, A_(CM)downarrow` `a_(SOLID)>a_(HOLLOW)`