NEET | 2018ElectrostaticsHard

Question

An electron of mass m with an initial velocity V→=V0i^(V0>0) enters an electric field E→=-E0i^ (E0 = constant >0) at t = 0. If λ0 is its de-Broglie wavelength initially, then its de-Broglie wavelength at time t is :-

Options

A.

λ01+eE0mV0t

B.

λ01+eE0mV0t

C.

λ0t

D.

λ0

Solution

V→=V0i^
E→=-E0i^
a→=F→m=qEm=(-e)(-E0)i^m
a→=eE0mi^
V = u + at
V=V0+eE0mt
λ=hmv
=hmV0+eE0tm=hmV01+eE0tmV0=λ01+eE0tmV0

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