Question

An electron of mass m and charge e initially at rest gets accelerated by a constant electric field E. The rate of change of de Broglie wavelength of this electron at time t is

Answer 1

Hey dear,

◆ Answer-

dλ/dt = -h/(eEt^2)

◆ Explaination-

We know acceleration in electric field -

a = eE/m

Using Newton's 1st kinematic eqn,

v = u + at

v = eEt/m

De Broglie's wavelength is given by -

λ = h / mv

λ = h / eEt

Differentiating wrt t -

dλ/dt = d(h/eEt)/dt

dλ/dt = -h / eEt^2

Rate of change of de Broglie wavelength is -h/(eEt^2).

Hope this helps you...

Answer 2

Answer:

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Explanation:

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