Dual Nature Of Light Question 133
Question: What will be the ratio of de-Broglie wavelengths of proton and $ \alpha - $ particle of same energy [RPET 1991, 96; DCE 2002; Kerala PET 2005]
Options:
A) 2 : 1
B) 1 : 2
C) 4 : 1
D) 1 : 4
Show Answer
Answer:
Correct Answer: A
Solution:
$ \lambda =\frac{h}{\sqrt{2mE}}\Rightarrow \lambda \propto \frac{1}{\sqrt{m}}\Rightarrow \frac{{\lambda_{p}}}{{\lambda_{\alpha }}}=\sqrt{\frac{{m_{\alpha }}}{m_{p}}}=\frac{2}{1} $
BETA
