Dual Nature Of Light Question 383

Question: When X-rays of wavelength 0.5 A would be transmitted by an aluminum tube of thickness 7 mm, its intensity remains one-fourth. The absorption coefficient of aluminum for these X-rays is

Options:

A) $ 0.188m{{m}^{-1}} $

B) $ 0.189m{{m}^{-1}} $

C) $ 0.198m{{m}^{-1}} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ \frac{I_{0}}{I}=4,x=7mm,(given) $
$ \Rightarrow \mu =\frac{2.303{\log_{10}}\frac{I_{0}}{I}}{x} $ $ \mu =\frac{2.303{\log_{10}}\frac{I_{0}}{I}}{x} $ $ \mu =\frac{2.303{\log_{10}}4}{7}=\frac{2.303\times 0.6023}{7} $
$ \Rightarrow \mu =0.198m{{m}^{-1}} $