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 $