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MHT CET 2026 (15 May, Shift 1) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from MHT CET 2026 (15 May, Shift 1)

Q26MHT CET 2026 · 15 MAY · SHIFT 1Difficult

Matter Waves: de Broglie Wavelength

An electron of mass mm and charge ee initially at rest gets accelerated by a constant electric field EE. The rate of change of de-Broglie wavelength of the electron at time tt is

(hh = Planck's constant)

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Answer: (a)

  1. From rest: p=eEtp = eEt, so λ=heEt\lambda = \dfrac{h}{eEt}.
  2. dλdt=−heEt2\dfrac{d\lambda}{dt} = -\dfrac{h}{eEt^2}
  3. So the answer is (a).
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