Dual Nature Of Light Question 479

Question: The minimum wavelength of X-rays produced by electrons accelerated by a potential difference of volts is equal to [CPMT 1986, 88, 91; RPMT 1997; RPMT 1997, 98; MP PET 1997, 98; MP PMT 1996, 98, 2003; UPSEAT 2005]

Options:

A) $ \frac{eV}{hc} $

B) $ \frac{eh}{cV} $

C) $ \frac{hc}{eV} $

D) $ \frac{cV}{eh} $

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Answer:

Correct Answer: C

Solution:

$ E=eV=h{\nu_{\max }}=\frac{hc}{{\lambda_{\min }}} $
$ \Rightarrow {\lambda_{\min }}=\frac{hc}{eV} $