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MCQEasyJEE Main 2025 · 2 April, Shift 2Force on Moving Charge

Physics Question from JEE Main 2025 · 2 April, Shift 2

An electron with mass mm with an initial velocity (t=0) v⃗=v0i^ (v0>0)(t = 0) \, \vec{v} = v_0 \hat{i} \, (v_0 > 0) enters a magnetic field B⃗=B0j^\vec{B} = B_0 \hat{j}. If the initial de-Broglie wavelength at t=0t = 0 is λ0\lambda_0, then its value after time tt would be:

  • A

    λ01−e2B02t2m2\frac{\lambda_0}{\sqrt{1 - \frac{e^2 B_0^2 t^2}{m^2}}}

  • B

    λ01+e2B02t2m2\frac{\lambda_0}{\sqrt{1 + \frac{e^2 B_0^2 t^2}{m^2}}}

  • C

    λ01+e2B02t2m2\lambda_0 \sqrt{1 + \frac{e^2 B_0^2 t^2}{m^2}}

  • D

    λ0\lambda_0

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