Dual Nature Of Light Question 412

Question: The shortest wavelength of X-ray emitted from an X-ray tube operated at $ 2\times 10^{6}volt $ is of the order of

Options:

A) $ {{10}^{-5}}\overset{o}{\mathop{A}}, $

B) $ 1.852\overset{o}{\mathop{A}}, $

C) $ 0.5\overset{o}{\mathop{A}}, $

D) $ 0.7\overset{o}{\mathop{A}}, $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ E=eV=2\times 10^{6}\times 1.6\times {{10}^{-19}}J $
$ \Rightarrow \lambda =\frac{hc}{E}=\frac{6.6\times {{10}^{-34}}\times 3\times 10^{8}}{3.2\times {{10}^{-13}}}={{10}^{-2}}\overset{o}{\mathop{A}}, $