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Question

Physics Question on Atomic Physics

The minimum wavelength of X-rays produced by an electron accelerated through a potential difference of V volts is proportional to:

A

V2V^2

B

V{\sqrt{V}}

C

1V\frac{1}{V}

D

1V\frac{1}{\sqrt{V}}

Answer

1V\frac{1}{V}

Explanation

Solution

The correct option is (C): 1V\frac{1}{V}
By the law of photo electric effect,
hcλ=eVorλ=hceV1V\frac{hc}{\lambda}=eV\,or\,\lambda=\frac{hc}{eV}\propto \frac{1}{V}