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Dual Nature of Radiation question

2025 · 24 Jan · Shift 1 · Q66
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  5. /2025 · 24 Jan · Shift 1 · Q66

Dual Nature of Radiation question

2025 · 24 Jan · Shift 1 · Q66

JEE MainPhysicsDual Nature of RadiationMCQ+4 / −1
An electron of mass ' m ' with an initial velocity v→=v0i^(v0>0)\overrightarrow{\mathrm{v}}=\mathrm{v}_0 \hat{i}\left(\mathrm{v}_0\gt 0\right)v=v0​i^(v0​>0) enters an electric field E→=−Eok^\overrightarrow{\mathrm{E}}=-\mathrm{E}_{\mathrm{o}} \hat{\mathrm{k}}E=−Eo​k^. If the initial de Broglie wavelength is λ0\lambda_0λ0​, the value after time t would be
  1. A
    λo1−e2Eo2t2 m2vo2\frac{\lambda_o}{\sqrt{1-\frac{\mathrm{e}^2 \mathrm{E}_{\mathrm{o}}^2 \mathrm{t}^2}{\mathrm{~m}^2 \mathrm{v}_{\mathrm{o}}^2}}}1− m2vo2​e2Eo2​t2​​λo​​
  2. B
    λ0\lambda_0λ0​
  3. C
    λo1+e2Eo2t2 m2vo2\frac{\lambda_o}{\sqrt{1+\frac{\mathrm{e}^2 \mathrm{E}_{\mathrm{o}}^2 \mathrm{t}^2}{\mathrm{~m}^2 v_o^2}}}1+ m2vo2​e2Eo2​t2​​λo​​
  4. D
    λo1+e2Eo2t2 m2vo2\lambda_{\mathrm{o}} \sqrt{1+\frac{\mathrm{e}^2 \mathrm{E}_{\mathrm{o}}^2 \mathrm{t}^2}{\mathrm{~m}^2 \mathrm{v}_{\mathrm{o}}^2}}λo​1+ m2vo2​e2Eo2​t2​​
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