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Q.

An electron of mass m and magnitude of charge e initially at rest accelerated by a constant electric field  E. The rate of change of de-Broglie wavelength of this electron at time t  (ignoring relativistic effects) is:

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a

−heEt

b

−heEt

c

−eEth

d

−heEt2

answer is D.

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Detailed Solution

Force on electron=F=Eq   ​⇒Ma=E.e   ​⇒a=Eem   ​Using Equation of Kinematics,v=u+at    ​⇒v=0+Eemt​Also, de Broglie wavelength =λ=hmv=hm.Eemt  ⇒ dλdt=−hEet2               ∵ddt1t=−1t2
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