Dual Nature Of Light Question 309

Question: Light of two different frequencies whose photons have energies $ 1eV $ and $ 2.5eV $ respectively, successively illuminates a metal of work function $ 0.5eV $ . The ratio of maximum kinetic energy of the emitted electron will be [AIEEE 2002]

Options:

A) 1 : 5

B) 1 : 4

C) 1 : 2

D) 1 : 1

Show Answer

Answer:

Correct Answer: B

Solution:

By using $ E=W_{0}+{K_{\max }} $
$ \Rightarrow {K_{\max }}=E-W_{0} $ Hence, $ K_{1}=1-0.5=0.5 $ and $ K_{2}=2.5-0.5=2\Rightarrow \frac{K_{1}}{K_{2}}=\frac{1}{4} $ .