A homogeneous ball (mass=m) of ideal black material at rest is illuminated with a radiation having a set of photons (wavelength`=lamda`), each with the same momentum and the same energy. The rate at whoch photons fall on the ball is n. the linear acceleration of the ball is

Options

A. `(nh)/(2 pi lamda m)`
B. `(nh)/(lamda m)`
C. `(2 pi nh)/(lamda m)`
D. `(lamda m)/(nh)`

Answer

B

Explanation

Change in momentum due to photon `= (h)/(lamda)`
F = rate of change of momentum
`F = n(h)/(lamda) =ma" "a= (nh)/(lamda m)`