Dual Nature Of Light Question 529

Question: Solid targets of different elements are bombarded by highly energetic electron beams. The frequency (f) of the characteristic X-rays emitted from different targets varies with atomic number Z as [AIIMS 2005]

Options:

A) $ f\propto \sqrt{Z} $

B) $ f\propto Z^{2} $

C) $ f\propto Z $

D) $ f\propto {{Z}^{3/2}} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \lambda \propto \frac{1}{Z^{2}}\Rightarrow \frac{c}{\nu }\propto \frac{1}{Z^{2}}\Rightarrow \nu \propto Z^{2} $