MHT CET 2025 Physics question

PhysicsDual Nature of Matter and RadiationMHT CET 2025

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) (h = Planck's constant)

Answer: (A)

Solution

The electron accelerates uniformly from rest with , so at time t its momentum is . The de-Broglie wavelength is . Differentiating with respect to time,

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Question ID VK-102640