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MHT CET202521 Apr 2025Morning ShiftPhysicsDual Nature of MatterActual

The de-Broglie wavelength ( ) of a particle

Options

  1. Ais inversely proportional to impulse.
  2. Bdoes not depend on impulse.
  3. Cis proportional to mass.
  4. Dis proportional to impulse.

Correct answer

A. is inversely proportional to impulse.

Step-by-step solution

The de Broglie wavelength is given by = h/p , where h is Planck's constant and p is the momentum. For a particle starting from rest, the impulse J equals the final momentum p . Since is inversely proportional to p , and p is directly proportional to J , the de Broglie wavelength is inversely proportional to the impulse imparted. The final answer is A

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