A body is projected at an angle `theta` with the horzontal. When it is at the highest point, the ratio of the potential and kinetic energies of the body is s

Options

A. `tan theta`
B. `tan^(2)theta`
C. `cot theta`
D. `cot^(2) theta`

Explanation

(b) Potential energy `PE`
`=mgh_("max")=(mg(u^(2)sin^(2) theta))/(2g)=(mu^(2) sin^(2)theta)/2`
`KE=1/2 m (u cos theta)^(2)`
Here `(PE)/(KE)=tan^(2)theta`