Em Waves Question 80
Question: A material particle with a rest mass $ m _{0} $ is moving with a velocity of light c. Then, the wavelength of the de Broglie wave associated with it is
Options:
A) $ (h/m _{0}c) $
B) Zero
C) $ \infty $
D) $ (m _{0}c/h) $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] We know that mass m in motion and the rest mass $ m _{0} $ is related through the equation $ m=\frac{m _{0}}{\sqrt{1-\frac{v^{2}}{c^{2}}}} $ As $ v=c,m=\frac{m _{0}}{\sqrt{1-1}}=\frac{m _{0}}{0}=\infty $
Therefore, de Broglie wavelength is $ \lambda =\frac{h}{mv}=\frac{h}{(\infty )(c)}=0 $
BETA
