CUET and UG exam CUET UG 2025 Mock Test Series Physics Atoms De Broglie’s Explanation of Bohr’s Second Postulate of Quantisation
An electron of mass 'm' with an initial velocity \(\overrightarrow{\mathrm{v}}=\mathrm{v}_{0} \hat{\mathrm{i}}\left(\mathrm{v}_{0}>0\right)\) enters an electric field \(\overrightarrow{\mathrm{E}}=-\mathrm{E}_{0} \hat{\mathrm{k}}\). If the initial de Broglie wavelength is λ0, the value after time t would be :-
1
\(\frac{\lambda_{0}}{\sqrt{1+\frac{\mathrm{e}^{2} \mathrm{E}_{0}^{2} \mathrm{t}^{2}}{\mathrm{~m}^{2} \mathrm{v}_{0}^{2}}}}\)
2
\(\frac{\lambda_{0}}{\sqrt{1-\frac{\mathrm{e}^{2} \mathrm{E}_{0}^{2} \mathrm{t}^{2}}{\mathrm{~m}^{2} \mathrm{v}_{0}^{2}}}}\)
3
λ0
4
\(\lambda_{0} \sqrt{1+\frac{\mathrm{e}^{2} \mathrm{E}_{0}^{2} \mathrm{t}^{2}}{\mathrm{~m}^{2} \mathrm{v}_{0}^{2}}}\)