JEE PYQ: Atomic Physics Question 5
Question 5 - 2021 (17 Mar Shift 1)
An electron of mass $m$ and a photon have same energy $E$. The ratio of wavelength of electron to that of photon is: ($c$ being the velocity of light)
(1) $\frac{1}{c}\left(\frac{2m}{E}\right)^{1/2}$
(2) $\frac{1}{c}\left(\frac{E}{2m}\right)^{1/2}$
(3) $\left(\frac{E}{2m}\right)^{1/2}$
(4) $c(2mE)^{1/2}$
Show Answer
Answer: (2)
Solution
$\lambda_1 = \frac{h}{\sqrt{2mE}}$, $\lambda_2 = \frac{hc}{E}$. $\frac{\lambda_1}{\lambda_2} = \frac{1}{c}\left(\frac{E}{2m}\right)^{1/2}$.
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