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Q.

A proton when accelerated through a potential difference of V, has a de-Broglie wavelength λ associated with it. If an alpha particle is to have the same de-Broglie wavelength λ, it must be accelerated through a potential difference of

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a

V/8

b

V/4

c

4V

d

8V

answer is A.

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Detailed Solution

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λ=h2mVq

 V1mqVpVα=mαqαmpqp

VVα=4×21×1=8

 Vα=V8

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