Dual Nature Of Light Question 363

Question: A photon of frequency/causes the emission of a photoelectron of maximum kinetic energy $ E_{k} $ from a metal. If a photon of frequency 3f is incident on the same metal, the maximum kinetic energy of the emitted photoelectron

Options:

A) equals $ 3E_{k} $

B) is greater than $ 3E_{k} $

C) is less than $ 3E_{k} $

D) may be equal to, less than or, greater than $ 3E_{k} $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] We write Einstein’s equation for the photoelectric effect, $ hf-W=E_{K} $ ….(i) $ 3hf-W=E{’{K}} $ …(ii) From (i) and (ii), we get, $ E{’{K}}-3E_{K}=2W>0. $