Dual Nature Of Light Question 310

Question: Sodium and copper have work functions 2.3 $ eV $ and 4.5 $ eV $ respectively. Then the ratio of their threshold wavelengths is nearest to [AIEEE 2002]

Options:

A) 1: 2

B) 4 : 1

C) 2 : 1

D) 1 : 4

Show Answer

Answer:

Correct Answer: C

Solution:

$ W_{0}\propto \frac{1}{\lambda }\Rightarrow \frac{{\lambda_{1}}}{{\lambda_{2}}}=\frac{{{(W_{0})}{2}}}{{{(W{0})}_{1}}}=\frac{4.5}{2.3}=\frac{2}{1} $ .