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MHT CET202618 April 2026Morning ShiftPhysicsDual Nature of MatterActual

If the kinetic energy of a particle is increased to 16 times, the percentage change in the de Broglie wavelength of a particle is

Options

  1. A40 %
  2. B60 %
  3. C75 %
  4. D80 %

Correct answer

C. 75 %

Step-by-step solution

The de Broglie wavelength of a particle is given by = h 2mK , where K is the kinetic energy. Let the initial kinetic energy be K₁ = K and the initial wavelength be ₁ = . The final kinetic energy is given as K₂ = 16K . The final wavelength is ₂ = h 2m(16K) = 1 4 h 2mK = 4 . The percentage change in the de Broglie wavelength is ₂ - ₁ ₁ 100 % . Substituting the values, we get 4 - 100 % = - 3 4 100 % = -75 % . The magnitude of the percentage change is 75 % . Answer: 75 %

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