Dual Nature Of Light Question 357

Question: Find the frequency of light which ejects electrons from a metal surface fully stopped by a retarding potential of 3V. The photoelectric effect begin in this metal at frequency of $ 6\times 10^{14} $ per second.

Options:

A) $ 1.32\times 10^{15}Hz $

B) $ 3.28\times 10^{14}Hz $

C) $ 6.22\times 10^{15}Hz $

D) $ 2.22\times 10^{11}Hz $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] The work function of the metal $ W_{0}=hf_{0}=(6.63\times {{10}^{-34}})\times (6\times 10^{14}) $ $ =3.98\times 10^{19}J $ If f is the frequency of the light, then $ hc=W_{0}+eV_{0} $ $ =\frac{3.98\times {{10}^{-19}}+1.6\times {{10}^{-19}}\times 3}{6.63\times {{10}^{-34}}}=1.32\times 10^{15}Hz $