An electron with mass ' m ' with an initial velocity ( t =0) v = v_0 i ( v_0>0) enters a magnetic field B = B_0 j. If the initial de-Broglie…

An electron with mass ' m ' with an initial velocity $\displaystyle (\mathrm{t}=0) \overrightarrow{\mathrm{v}}=\mathrm{v}_0 \hat{i}\left(\mathrm{v}_0>0\right)$ enters a magnetic field $\displaystyle \overrightarrow{\mathrm{B}}=\mathrm{B}_0 \hat{j}$. If the initial de-Broglie wavelength at $\displaystyle \mathrm{t}=0$ is $\displaystyle \lambda_0$ then its value after time ' $\displaystyle t$ ' would be :