Dual Nature Of Light Question 128

Question: If the de-Broglie wavelengths for a proton and for a $ \alpha - $ particle are equal, then the ratio of their velocities will be [NCERT 1972]

Options:

A) 4 : 1

B) 2 : 1

C) 1 : 2

D) 1 : 4

Show Answer

Answer:

Correct Answer: A

Solution:

$ \lambda =\frac{h}{m_{1}v_{1}}=\frac{h}{m_{2}v_{2}};\ \ \therefore \ \ \frac{v_{1}}{v_{2}}=\frac{m_{2}}{m_{1}}=\frac{4}{1} $