Dual Nature Of Light Question 322

Question: Light of wavelength 1824 Å, incident on the surface of a metal, produces photo-electrons with maximum energy 5.3 eV. When light of wavelength 1216 Å is used, the maximum energy of photoelectrons is 8.7 eV. The work function of the metal surface is [MP PMT 2004]

Options:

A) 3.5 eV

B) 13.6 eV

C) 6.8 eV

D) 1.5 eV

Show Answer

Answer:

Correct Answer: D

Solution:

$ E=W_{0}+{K_{\max }} $ . From the given data E is 6.78 eV (for l= 1824 $ {\AA} $ ) or $ 10.17,eV, $ (for $ \lambda =1216{\AA} $ )
$ \therefore $ $ W_{0}=E-{K_{\max }}=6.78-5.3=1.48,eV $ or $ W_{0}=10.17-8.7=1.47,eV. $