An electron of mass m and magnitude of 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 ignoring relativistic effects is :
Solution
F = |e| E
<br><br>$a = {F \over m}$ = ${{\left| e \right|E} \over m}$
<br><br>V = $at =$ ${{\left| e \right|E} \over m}t$
<br><br>$\lambda$ = ${h \over {mV}}$ = ${h \over {\left| e \right|Et}}$
<br><br>${{d\lambda } \over {dt}}$ = ${{ - h} \over {\left| e \right|E{t^2}}}$
About this question
Subject: Physics · Chapter: Dual Nature of Matter and Radiation · Topic: Photoelectric Effect
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