Proton (P) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, ) [2023]

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Solution

Q.
Proton (P) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, $m_{P} = 1849 m_{e}$ ) [2023]

1 1 : 43

2 1 : 1

3 43 : 1

4 1 : 1849

Ans.
(2)

$De Broglie wavelength is λ = \frac{h}{m v}$

$λ_{p} = λ_{e} \Rightarrow m_{p} v_{p} = m_{e} v_{e} \Rightarrow p_{p} = p_{e}$

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