Problem

A particle is moving in a circle of radius

R

in such a way that at any instant the normal and tangential component of its acceleration are equal. If its speed at

t = 0

v_0

. The time taken to complete the first revolution is a.

\frac{R}{v_0}

\frac{R}{v_0}e^{-2\pi}

\frac{R}{v_0}(1 - e^{-2\pi})

\frac{R}{v_0}(1 + e^{-2\pi})