Concepts Of Physics MCQ Edition [Volume 2]PhysicsPhotoelectric Effect and Wave–Particle Duality

The equation E = pc holds true

Options

Afor an electron but not for a photon
Bfor a photon but not for an electron
Cfor both an electron and a photon
Dfor neither an electron nor a photon

Correct answer

B. for a photon but not for an electron

Step-by-step solution

The relativistic relation between energy E and momentum p for a particle of rest mass m₀ is given by E^2 = p^2c^2 + m₀^2c^4 For a photon, the rest mass m₀ = 0 . Substituting this in the equation, we get E^2 = p^2c^2 E = pc For an electron, the rest mass m₀ 0 . Therefore, m₀^2c^4 > 0 , which gives E = p^2c^2 + m₀^2c^4 > pc Thus, the equation E = pc holds true for a photon but not for an electron.

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