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JEE Main202315 Apr 2023Morning ShiftPhysicsDual Nature of MatterActual

The de Broglie wavelength of an electron having kinetic energy E is λ . If the kinetic energy of electron becomes E 4 , then its de-Broglie wavelength will be:

Options

  1. A2 λ
  2. Bλ 2
  3. Cλ 2
  4. D2 λ

Correct answer

D. 2 λ

Step-by-step solution

The de-Broglie wavelength in the first case is λ = h 2 m E In the second case the kinetic energy is K = E 4 . Let the de-Broglie wavelength be λ ' . The value of wavelength is λ ' = h 2 m E 4 = 2 h 2 m E = 2 λ

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