ElectrostaticsHard

Question

An electron of mass m with an initial velocityV→=Voi^Vo>Oenters an electric fieldE→=-Eoi^ (E0 = constant >0) at t = 0. If λois its de-Broglie wavelength initially, then its de-Broglie wavelength at time t is :-

Options

A.

λo1+eEomVot

B.

λo1+eEOmVot

C.

λot

D.

λo

Solution

V→=Voi^E→=-Eoi^a→=F→m=qE→m=-e-Eoi^ma→=eEomi^
V = u + at
V=Vo+eEomtλ=hmv=hmVo+eEo tm=hmVo1+eEo tmVo=λo1+eEo tmVo

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