The ratio of the de-Broglie wavelengths of proton and electron having same kinetic energy (Assume ) [2023]

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Solution

Q.
The ratio of the de-Broglie wavelengths of proton and electron having same kinetic energy (Assume $m_{p} = m_{e} \times 1849$ ) [2023]

1 1 : 43

2 1 : 30

3 1 : 62

4 2 : 43

Ans.
(1)

$λ \propto \frac{1}{\sqrt{m}} \Rightarrow \frac{λ_{p}}{λ_{e}} = \sqrt{\frac{m_{e}}{m_{p}}} = 1 : 43$

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