Dual Nature Of Light Question 428

Question: Ultraviolet radiations of $ 6.2,eV $ falls on an aluminium surface (work function $ 4.2\ eV $ ). The kinetic energy in joules of the fastest electron emitted is approximately

Options:

A) $ 3.2\times {{10}^{-21}} $

B) $ 3.2\times {{10}^{-19}} $

C) $ 3.2\times {{10}^{-17}} $

D) $ 3.2\times {{10}^{-15}} $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ {K_{\max }}(eV)=E,(eV)-W_{0},(eV) $ $ =6.2-4.2=2\ eV $
$ \therefore ,{K_{\max }}(Joules)= $ $ 2\times 1.6\times {{10}^{-19}}J=3.2\times {{10}^{-19}}J $