Question 188: Dual Nature of Matter and Radiation

Question

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 :

Accepted Answer

F = |e| E
$$a = {F \over m}$$ = $${{\left| e \right|E} \over m}$$
V = $$at = $$ $${{\left| e \right|E} \over m}t$$
$$\lambda $$ = $${h \over {mV}}$$ = $${h \over {\left| e \right|Et}}$$
$${{d\lambda } \over {dt}}$$ = $${{ - h} \over {\left| e \right|E{t^2}}}$$

Answer

$${{ - h} \over {\left| e \right|Et}}$$

Answer

$${{ - h} \over {\left| e \right|E\sqrt t }}$$

Answer

$${{ - h} \over {\left| e \right|E{t^2}}}$$

Answer

$${{\left| e \right|Et} \over h}$$

Dual Nature of Matter and Radiation

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 :

Choose the correct answer: