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If the momentum of electron is changed by P, then the de-Broglie wavelength

If the momentum of electron is changed by P, then the de-Broglie wavelength associated with it changes by 0.5%. The initial momentum of electron will be:

Options

(a) 200 P
(b) 400 P
(c) P / 200
(d) 100 P

Correct Answer:

200 P

Explanation:

The de-Broglie’s wavelength associated with the moving of electron λ = h/P
Now, according to the problem
dλ / λ= – dp / P
0.5 / 100 = P / P’
P’ = 200 P

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