Em Waves Question 77

Question: An electron is accelerated through a potential difference of V volt. It has a wavelength $ \lambda $ associated with it. Through what potential difference an electron must be accelerated so that its de Broglie wavelength is the same as that of a Proton? Take mass of proton to be 1837 times larger than the mass of electron.

Options:

A) $ Vvolt $

B) $ 1837V,volt $

C) $ V/1837,volt $

D) $ \sqrt{1837}V,volt $

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Answer:

Correct Answer: C

Solution:

[c] $ \lambda =\frac{h}{\sqrt{2mqV}},mV=\text{constant} $

$ 1837V’=1\times V $ or $ V’=\frac{V}{1837} $ volt