JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
An electron of mass \(\mathrm{m}\) and magnitude of charge \(|e|\) initially at rest gets accelerated by a constant electric field \(\mathrm{E}\). The rate of change of de-Broglie wavelength of this electron at time \(t\) ignoring relativistic effects is
- A \(\frac{-\mathrm{h}}{|\mathrm{e}| \mathrm{Et}^{2}}\)
- B \(\frac{|\mathrm{e}| \mathrm{Et}}{\mathrm{h}}\)
- C \(-\frac{\mathrm{h}}{|\mathrm{e}| \mathrm{E} \sqrt{\mathrm{t}}}\)
- D \(-\frac{\mathrm{h}}{|\mathrm{e}| \mathrm{Et}}\)
Answer & Solution
Correct Answer
(A) \(\frac{-\mathrm{h}}{|\mathrm{e}| \mathrm{Et}^{2}}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{a}=\frac{\mathrm{eE}}{\mathrm{m}}\) \(\mathrm{v}=\mathrm{u}+\mathrm{at}=\left(\frac{\mathrm{eE}}{\mathrm{m}}\right) \mathrm{t}\) \(\lambda=\frac{\mathrm{h}}{\mathrm{mv}}\)…
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