An electron of mass m with an initial velocity v = v₀ i (v₀ > 0)… | JEE Main 2025 Physics PYQ

MCQMediumJEE Main 2025 · 24 January, Shift 1de Broglie Relation

An electron of mass $m$ with an initial velocity $\vec{v} = v_0 \hat{i} \; (v_0 > 0)$ enters an electric field $\vec{E} = -E_0 \hat{k}$ . If the initial de Broglie wavelength is $\lambda_0$ , the value after time $t$ would be:

A
$\lambda_0 \sqrt{\frac{1}{1 + \frac{e^2 E_0^2 t^2}{m^2 v_0^2}}}$
B
$\lambda_0 \sqrt{\frac{1}{1 - \frac{e^2 E_0^2 t^2}{m^2 v_0^2}}}$
C
$\lambda_0$
D
$\lambda_0 \left( 1 + \frac{e^2 E_0^2 t^2}{m^2 v_0^2} \right)$

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