Dual Nature Of Light Question 342

Question: If the momentum of electron is changed by P, then the de Broglie wavelength associated with it changes by 0.5%. The initial momentum of electron will be:

Options:

A) 200P

B) 400P

C) $ \frac{P}{200} $

D) 100P

Show Answer

Answer:

Correct Answer: A

Solution:

[a] The de-Broglie’s wavelength associated with the moving electron $ \lambda =\frac{h}{p} $ Now, according to problem $ \frac{d\lambda }{\lambda }=-\frac{dp}{P};\frac{0.5}{100}=\frac{P}{P’}\Rightarrow P’=200P $