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  • An electron and a photon have same energy 4 E. The ratio of de -Broglie wavelength of electron to wavelchgeh of photon (Mass of electron is m and speed of light is c)<st

An electron and a photon have same energy 4 E. The ratio of de -Broglie wavelength of electron to wavelchgeh of photon (Mass of electron is m and speed of light is c)

Option: 1

\frac{2}{c} \sqrt{\frac{m}{E}}


Option: 2

\frac{2}{c} \sqrt{\frac{E}{m}}


Option: 3

\frac{1}{c} \sqrt{\frac{E}{2 m}}


Option: 4

\frac{2}{C} \sqrt{\frac{E}{2 m}}


Answers (1)

best_answer

\mathrm{\begin{aligned} \text { Use, } & \lambda_d \text { for electron }=\frac{\lambda}{\sqrt{2 m E \times 4}} \\ & \lambda \text { for photom }=\frac{h c}{E}=\frac{h c}{4 E} \\ \text { Ratio }= & \frac{h}{\sqrt{8 m E}} \times \frac{4 E}{h c} \\ = & \frac{4 E}{c} \times \frac{1}{2 \sqrt{2 m E}}=\frac{2 E}{c \sqrt{2 E m}} \\ = & \frac{2}{c} \sqrt{\frac{E}{2 m}} \text { Arr } \end{aligned} }

Posted by

Devendra Khairwa

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