An electron with mass ' m ' with an initial velocity (t=0) \overrightarrow{v}=v_0 \hat{i} (v_0>0) enters a magnetic field \overrightarrow{B}=B_0 \hat{j}. If the initial de-Broglie wavelength at t=0 is \lambda_0 then its value after time ' t ' would be: [2 Apr 2025 Shift 2]

{\lambda_0}/\sqrt{1-\frac{e^2 B_0^2 t^2}{m^2}}}

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

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

Dual Nature of matter and Radiation Part 2

Section: Physics

Question : 14 of 100

Marks: +1, -0

An electron with mass ' m ' with an initial velocity (t=0)

→

=v0

∧

(v0>0) enters a magnetic field

→

=B0

∧

. If the initial de-Broglie wavelength at t=0 is λ0 then its value after time ' t ' would be:

[2 Apr 2025 Shift 2]

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