Dual Nature Of Light Question 87
Question: A photon and an electron have equal energy E. $ {\lambda_{photon}}/{\lambda_{electron}} $ is proportional to [UPSEAT 2003; IIT-JEE (Screening) 2004]
Options:
A) $ \sqrt{E} $
B) $ 1/\sqrt{E} $
C) $ 1/E $
D) Does not depend upon E
Show Answer
Answer:
Correct Answer: B
Solution:
$ {\lambda_{photon}}=\frac{hc}{E} $ and $ {\lambda_{proton}}=\frac{h}{\sqrt{2,mE}} $
Þ $ \frac{{\lambda_{photon}}}{{\lambda_{electron}}}=c\sqrt{\frac{2m}{E}} $
Þ $ \frac{{\lambda_{photon}}}{{\lambda_{electron}}}\propto \frac{1}{\sqrt{E}} $
BETA
