MHT CET · Physics · Dual Nature of Matter
An electron of mass ' m ' and charge ' e ' initially at rest gets accelerated by a constant electric field ' \(E\) '. The rate of change of de-Broglie wavelength of the electron at time ' \(t\) ' is (Ignore relativistic effect) ( \(\mathrm{h}=\) Planck's constant)
- A \(-\frac{\mathrm{h}}{\mathrm{eEt}^2}\)
- B \(-\frac{\mathrm{eEt}}{\mathrm{h}}\)
- C \(\frac{-\mathrm{mh}}{\mathrm{eEt}^2}\)
- D \(-\frac{\mathrm{h}}{\mathrm{eE}}\)
Answer & Solution
Correct Answer
(A) \(-\frac{\mathrm{h}}{\mathrm{eEt}^2}\)
Step-by-step Solution
Detailed explanation
\(v = at = \frac{eE}{m}t\) \(\lambda = \frac{h}{mv} = \frac{h}{m(\frac{eE}{m}t)} = \frac{h}{eEt}\)
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