JEE Main 2026 Apr 4 Shift 2, Physics Q19: Wave Nature of Matter

JEE Main2026Apr 4, Shift 2Physics

The de Broglie wavelength associated with an electron accelerated through a potential difference V is $λ_{e}$ and the de Broglie wavelength associated with a proton accelerated through the same potential difference is $λ_{p}$ . If their corresponding masses are $m_{e}$ and $m_{p}$ , respectively, then the ratio of their de Broglie wavelengths $(\frac{λ _{e}}{λ _{p}})$ is ______.

A
$\frac{m _{p}}{m _{e}}$
B
$\frac{m _{e}}{m _{p}}$
C
$\frac{m _{p}}{m _{e}}$
D
$(\frac{m _{p}}{m _{e}})^{2}$

Solution

For a charged particle accelerated through potential $V$ , $λ = \frac{h}{2 m q V}$ . With both having the same charge magnitude $∣ q ∣$ and the same $V$ :

$λ \propto \frac{1}{m}$ .

$∴ \frac{λ _{e}}{λ _{p}} = \frac{m _{p}}{m _{e}}$ .

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JEE Main 2026 Apr 4 Shift 2, Physics Q19: Wave Nature of Matter

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