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JEE Main202226 Jun 2022Morning ShiftPhysicsDual Nature of MatterActual

An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are E e and P e and that of photon are E p h and P p h respectively. Which of the following is correct?

Options

  1. AE e E p h = 2 c v
  2. BE e E p h = v 2 c
  3. Cp e p p h = 2 c v
  4. Dp e p p h = v 2 c

Correct answer

B. E e E p h = v 2 c

Step-by-step solution

We have, λ p = h p p and λ e = h p e Given here, λ e = λ p , then p p = p e Ratio of their energy is E ph E e = h c λ P p e 2 2 m = 2 m c p e = 2 m c m v = 2 c v

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