Dual Nature Of Light Question 476

Question: The wavelength $ \lambda $ of the $ {K_{\alpha }} $ line of characteristic X-ray spectra varies with atomic number approximatel [MP PMT 1987]

Options:

A) $ \lambda \propto Z $

B) $ \lambda \propto \sqrt{Z} $

C) $ \lambda \propto \frac{1}{Z^{2}} $

D) $ \lambda \propto \frac{1}{\sqrt{Z}} $

Show Answer

Answer:

Correct Answer: C

Solution:

According to Mosley’s law $ \nu =a,{{(Z-b)}^{2}} $ and $ \nu \propto \frac{1}{\lambda } $