Dual Nature Of Light Question 117

Question: In X-ray tube when the accelerating voltage V is halved, the difference between the wavelength of Ka line and minimum wavelength of continuous X-ray spectrum

Options:

A) Remains constant

B) Becomes more than two times

C) Becomes half

D) Becomes less than two times

Show Answer

Answer:

Correct Answer: D

Solution:

$ \Delta \lambda ={\lambda_{{K_{\alpha }}}}-{\lambda_{\min }} $ When V is halved $ {\lambda_{\min }} $ becomes two times but $ {\lambda_{{K_{\alpha }}}} $ remains the same. \ $ \Delta \lambda ‘={\lambda_{{K_{\alpha }}}}-2{\lambda_{\min }} $ $ =2(\Delta \lambda )-{\lambda_{K_{a}}} $ \ $ \Delta \lambda ,’<2,(\Delta \lambda ) $