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Question

Physics Question on Photoelectric Effect

Sodium and copper have work functions 2.3 eV and 4.5 eV respectively. Then, the ratio of their threshold wavelengths is nearest to

A

1:02

B

2:01

C

1:04

D

4:01

Answer

2:01

Explanation

Solution

Work function(W) = hc λ=\frac{\text { hc }}{\lambda} where, h=h = Planck's constant, c=c= velocity of light Therefore, wnawcu=λcuλna\frac{w_{ na }}{w_{ cu }}=\frac{\lambda_{ cu }}{\lambda_{ na }} λNaλcu=Wcuwna=4.52.3=2\frac{\lambda_{ Na }}{\lambda_{ cu }}=\frac{ W _{ cu }}{ w _{ na }}=\frac{4.5}{2.3}=2 (nearly)