Dual Nature Of Light Question 518

Question: If the potential difference applied across X-ray tube is V volts, then approximately minimum wavelength of the emitted X-rays will be [MP PET 2002; RPMT 1995; CBSE PMT 1996]

Options:

A) $ \frac{1227}{\sqrt{V}}{AA} $

B) $ \frac{1240}{V}{AA} $

C) $ \frac{2400}{V}{AA} $

D) $ \frac{12400}{V}{AA} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ {\lambda_{\min }}=\frac{hc}{eV}=\frac{6.6{{\times }^{-34}}\times 3\times 10^{8}}{1.6\times {{10}^{-19}}V} $ $ =\frac{12375}{V}\approx \frac{12400}{V}{AA} $