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  • Electrons used in an electron microscope are accelerated by a voltage of . If the voltag

Electrons used in an electron microscope are accelerated by a voltage of 25 \mathrm{~kV}. If the voltage is increased to
100 \mathrm{~kV} then the de–Broglie wavelength associated with the electrons would
 

Option: 1

 increase by 2 times
 


Option: 2

 decrease by 2 times


Option: 3

 decrease by 4 times

 


Option: 4

 increase by 4 times


Answers (1)

best_answer

\begin{aligned} & \lambda \propto \frac{1}{\sqrt{\mathrm{V}}} \\ & =\frac{\lambda_1}{\lambda_2}=\sqrt{\frac{\mathrm{V}_2}{\mathrm{~V}_1}}=\sqrt{\frac{100 \mathrm{keV}}{25 \mathrm{keV}}}=2=\lambda_2=\frac{\lambda_1}{2} \end{aligned}

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