Dual Nature Of Light Question 351

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

Options:

A) $ m\lambda /nh $

B) $ nh/m\lambda $

C) $ nh/m\lambda $

D) $ 2m\lambda /nh $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Momentum imparted per unit time =np
$ \Rightarrow F=\frac{nh}{\lambda }\text{ }\therefore \text{Acceleration=}\frac{nh}{m\lambda } $