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Q.

An electron (mass m) with an initial velocity v=v0i^v0>0 is moving in an electric field E=E0i^E0>0 where E0 is constant. If at t = 0 de Broglie wavelength is λ0=hmv0, then its de Broglie wavelength after time t is given by

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a

λ0

b

λ01+eE0tmv0

c

λ01+eE0tmv0

d

λ0 t

answer is D.

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Detailed Solution

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E=E0i^λ0=hmv0v=v0+eE0tmλ'=hmv=hmv0+eE0mtλ'=hmv01+eE0mv0tλ'=λ01+eE0mv0t

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