Dual Nature Of Light Question 132

Question: An electron of mass m when accelerated through a potential difference V has de-Broglie wavelength $ \lambda $ . The de-Broglie wavelength associated with a proton of mass M accelerated through the same potential difference will be [CBSE PMT 1995; EAMCET 2001; J & K CET 2004]

Options:

A) $ \lambda \frac{m}{M} $

B) $ \lambda \sqrt{\frac{m}{M}} $

C) $ \lambda \frac{M}{m} $

D) $ \lambda \sqrt{\frac{M}{m}} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \lambda =\frac{h}{\sqrt{2mE}} $
Þ $ \lambda \propto \frac{1}{\sqrt{m}} $ (E = same)



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