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MHT CET202617 April 2026Morning ShiftPhysicsDual Nature of MatterActual

The kinetic energy of a free electron increases to 3 times the previous K.E. The ratio of new de-Broglie wavelength to previous de-Broglie wavelength is

Options

  1. A1 3
  2. B1 3
  3. C3
  4. D3

Correct answer

A. 1 3

Step-by-step solution

The de-Broglie wavelength of an electron is given by = h p = h 2mK where K is the kinetic energy of the electron. From the relation, 1 K Given that the new kinetic energy K₂ = 3K₁ . The ratio of the new de-Broglie wavelength to the previous de-Broglie wavelength is ₂ ₁ = K₁ K₂ ₂ ₁ = K₁ 3K₁ = 1 3 Answer: 1 3

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