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MHT CET Medical202625 April 2026Evening ShiftPhysicsDual Nature of MatterActual

The de Broglie wavelength of an electron with kinetic energy K₁ is ₁ . If the kinetic energy increases to 5K₁ , the new wavelength is ₂ = x ₁ . The value of x is

Options

  1. A5
  2. B5
  3. C1 5
  4. D1 5

Correct answer

C. 1 5

Step-by-step solution

The de Broglie wavelength of an electron is given by = h 2mK For the initial state, ₁ = h 2mK₁ For the final state, the kinetic energy is K₂ = 5K₁ . The new wavelength is: ₂ = h 2m(5K₁) = 1 5 h 2mK₁ ₂ = 1 5 ₁ Comparing this with ₂ = x ₁ , we get x = 1 5 Answer: 1 5

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