A particle performs verticle circular motion along the circular path . If the ratio of kinetic energy to potential energy of a particle at any position is (If the particle makes an angle `theta ` wityh vertical at the position .)

Options

A. `(3+2 cos theta)/(1- cos theta)`
B. `(1)/(2)((3+2 cos theta ))/((1- cos theta ))`
C. `(1- cos theta )/(3+2 cos theta )`
D. `(1+ cos theta )/(3-2 cos theta )`

Answer

B

Explanation

`(KE)/(PE)=((1)/(2)mv_(p)^(2))/(mgh)=(1)/(2)[(3+2 cos theta )/(1- cos theta)]`