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NEET2014PhysicsDual Nature of MatterActual

If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is:

Options

  1. A25
  2. B75
  3. C60
  4. D50

Correct answer

B. 75

Step-by-step solution

K E f i n a l = 16 K E i n i t i a l ⇒ 1 2 m v f 2 = 16 × 1 2 m v i 2 (mass remains same because the particle remains same) ⇒ v f = 4 v i We know that, De-broglie wavelength ( λ ) = h m v ∴ λ f = h m v f = h 4 m v i So De-Broglie wave will decreased to 75 %

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