Dual Nature Of Light Question 147
Question: When the momentum of a proton is changed by an amount P0, the corresponding change in the de-Broglie wavelength is found to be 0.25%. Then, the original momentum of the proton was [CPMT 2002]
Options:
A) p0
B) 100 p0
C) 400 p0
D) 4 p0
Show Answer
Answer:
Correct Answer: C
Solution:
$ \lambda \propto \frac{1}{p} $
Þ $ \frac{\Delta p}{p}=-\frac{\Delta \lambda }{\lambda } $
Þ $ | \frac{\Delta p}{p} |=| \frac{\Delta \lambda }{\lambda } | $
Þ $ \frac{p_{0}}{p}=\frac{0.25}{100}=\frac{1}{400} $
Þ p = 400 p0 .
BETA
