A solid sphere rolls down two different inclined planes of the same height but of different inclinations

Options

A. In both cases the final speeds and time of descent will be same
B. The final speeds will be same but time of descent will be different
C. The final speed will be different but time of descent will be same
D. The final speeds and time of descent both will be same

Answer

B

Explanation

`(d theta)/(dt)=-k(theta-theta_(0))`
`(d theta)/(dt)=-k(theta-T_(0))`
Slope of shown graph `=-((theta_(0)-T_(0)))/(tau)implies -((theta_(0)-T_(0)))/(tau)=-K(theta_(0)-T_(0))implies ((theta_(0)-T_(0)))/(tau)impliesK(theta_(0)-T_(0))`
`impliestau=(1)/(K)`