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  • An electron of mass m and magnitude of charge  initially at rest gets accelerated by a constant electric field E.The rate

An electron of mass m and magnitude of charge \left | e \right | 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 ? ( ignoring relativistic effects is) :
Option: 1 \frac{-h}{\left | e \right |Et^{2}}      
Option: 2  \frac{\left | e \right |Et}{h}    
Option: 3  -\frac{h}{\left | e \right |Et}
Option: 4  -\frac{h}{\left | e \right |E\sqrt{t}}
 

Answers (1)

best_answer

 

 

\lambda _{D}=\frac{h}{mv}

\therefore\; \; v=at

v=\frac{eE}{m}t\; \; \; \; \left ( a=\frac{eE}{m} \right )

\lambda _{D}=\frac{h}{m\left ( \frac{eE}{m}t \right )}

\lambda _{D}=\frac{h}{eEt}

\frac{d\lambda _{d}}{dt}=-\frac{h}{\left | e \right |Et^{2}}

 

Hence the correct option is (1). 

Posted by

avinash.dongre

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