Dual Nature Of Light Question 504

Question: The minimum wavelength of the X-rays produced by electrons accelerated through a potential difference of V volts is directly proportional to [CBSE PMT 1996]

Options:

A) $ \sqrt{V} $

B) $ V^{2} $

C) $ 1/\sqrt{V} $

D) $ 1/V $

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Answer:

Correct Answer: D

Solution:

$ h{\nu_{\max }}=eV $
$ \Rightarrow ,\frac{hc}{{\lambda_{\min }}}=eV $
$ \therefore {\lambda_{\min }}\propto \frac{1}{V} $