Q17 / 104 · NTA Abhyas (JEE Main) 2020 · Physics · Atomic Physics

The wavelength of a photon and de-Broglie wavelength an electron have the same value. Given that v is the speed of electron and c is the velocity of light. Ee, Ep is the kinetic energy of electron and energy of photon respectively while pe, ph is the momentum of electron and photon respectively. Then which of the following relation is correct?

  • Correct answer
    A
    EeEp=v2c
  • B
    EeEp=2cv
  • C
    peph=c2v
  • D
    peph=2cv

Solution

Ee=12mv2=12mvv=12hλv

and Ep=hcλ;

∴ EeEp=v2c

and according to De Broglie's equation
ph=hλ

∴ peph=1

Hence, the correct answer is option: 'A'.

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