Dual Nature Of Light Question 280

Question: The frequency of the incident light falling on a photosensitive metal plate is doubled, the kinetic energy of the emitted photoelectrons is [Roorkee 1992]

Options:

A) Double the earlier value

B) Unchanged

C) More than doubled

D) Less than doubled

Show Answer

Answer:

Correct Answer: C

Solution:

$ E=W_{0}+{K_{\max }}\Rightarrow {K_{\max }}=E-W_{0}=h\nu -W_{0} $
$ \Rightarrow K_{1}=h\nu -W_{0} $ and $ K_{2}=2h\nu -W_{0} $
$ \Rightarrow K_{2}>2K_{1} $