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JEE Main20209 Jan 2020Morning ShiftPhysicsDual Nature of MatterActual

A particle moving with kinetic energy E has de Broglie wavelength λ . If energy Δ E is added to its energy, the wavelength become λ 2 . Value of Δ E , is:

Options

  1. AE
  2. B4 E
  3. C3 E
  4. D2 E

Correct answer

C. 3 E

Step-by-step solution

λ = h 2 K E m ⇒ λ ∝ 1 K E λ λ 2 = K E f K E i 4 K E i = K E f ⇒ Δ E = 4 K E i - K E i = 3 K E = 3 E

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