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

Options

A. in ot cases the speeds and time of descend will be same
B. the speeds will be same but time of descend will be different
C. the speeds will be different but time of descend will be same
D. speeds and time of descend both will be different.

Answer

B

Explanation

`a=(gsintheta)/(1+I//mR^(2))=(gsintheta)/(1+2//5)=(5)/(7)gsintheta`
`t=sqrt((2S)/(a))=sqrt((2((h)/(sintheta)))/((5//7)gsintheta))`
or `tprop(1)/(sintheta)`
So, time will be different.
`v=sqrt(2aS)=sqrt(2((5)/(7)gsintheta)((h)/(sintheta)))`
or v is independent of `theta`. v will be some.