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MHT CET202120 Sep 2021Morning ShiftPhysicsDual Nature of MatterActual

What is the additional energy that should be supplied to a moving electron to reduce its de Broglie wavelength from 1 ~nm to 0.5 ~nm ?

Options

  1. AFour times its initial energy
  2. BFive times its initial energy
  3. CTwo times its initial energy
  4. DThree times its initial energy

Correct answer

D. Three times its initial energy

Step-by-step solution

De Broglie wavelength, = h mv = h 2 mE E = h ^2 2 ~m ^2 If is halved, then kinetic energy becomes 4 times or increased by three times.

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