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Q.

An electron (charge e) is released from rest in a region of uniform electric field of intensity (E) The debroglie wave length of the electron as a function of time(t) is

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a

$\frac{h}{\sqrt{2 eEt}}$

b

$\frac{ht}{eE}$

c

$\frac{h}{eEt}$

d

$\frac{h}{\sqrt{eEt}}$

answer is C.

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Detailed Solution

$\begin{array}{l} τ = \frac{h}{mv} = \frac{h}{m (at)} = \frac{h}{m (\frac{Em}{m}) t} \\ τ = \frac{h}{eEt} \end{array}$

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