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MHT CET Medical202623 April 2026Evening ShiftPhysicsDual Nature of MatterActual

A particle is dropped from a height ' y '. The de-Broglie wavelength of the particle as a function of height is

Options

  1. Ay
  2. By^ 1/2
  3. Cy^0
  4. Dy^ -1/2

Correct answer

D. y^ -1/2

Step-by-step solution

When a particle is dropped and falls a distance y , its initial velocity is zero. The velocity v of the particle after falling a distance y is given by the equation of motion: v^2 = u^2 + 2gy v = 2gy The momentum of the particle is p = mv = m 2gy . The de-Broglie wavelength is given by = h p . Substituting the value of momentum, we get: = h m 2gy Therefore, y^ -1/2 . Answer: y^ -1/2

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