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

For two photons, which of the following is true?

Options

AThose with equal wavelengths have equal linear momenta.
BThose with equal frequencies have equal linear momenta.
CThose with equal energies have equal linear momenta.
DThose with equal linear momenta have equal wavelengths.

Correct answer

D. Those with equal linear momenta have equal wavelengths.

Step-by-step solution

The linear momentum of a photon is a vector quantity given by p = h n , where is the wavelength and n is the unit vector in the direction of propagation. If two photons have equal wavelengths, frequencies, or energies, the magnitudes of their linear momenta are equal, but their directions of propagation may be different. Therefore, they do not necessarily have equal linear momenta. If two photons have equal linear momenta, their momentum vectors are identical, which means the magnitudes of their momenta are equal (

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