Dual Nature Of Light Question 159

Question: If the kinetic energy of a free electron doubles, its de-Broglie wavelength changes by the factor [AIEEE 2005]

Options:

A) $ \frac{1}{\sqrt{2}} $

B) $ \sqrt{2} $

C) $ \frac{1}{2} $

D) 2

Show Answer

Answer:

Correct Answer: A

Solution:

$ \lambda =\frac{h}{\sqrt{2mE}} $
Þ $ \lambda \propto \frac{1}{\sqrt{E}} $ .