Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Photoelectric Effect and Wave–Particle Duality

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

For two photons, which of the following is true?

For two photons, which of the following is true?

Options

  1. AThose with equal wavelengths have equal linear momenta.
  2. BThose with equal frequencies have equal linear momenta.
  3. CThose with equal energies have equal linear momenta.
  4. 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 p⃗=hλn^\vec{p} = \dfrac{h}{\lambda} \hat{n}, where λ\lambda is the wavelength and n^\hat{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 (∣p⃗1∣=∣p⃗2∣|\vec{p}_1| = |\vec{p}_2|).

Since ∣p⃗∣=hλ|\vec{p}| = \dfrac{h}{\lambda}, equal magnitudes of linear momentum imply equal wavelengths (λ1=λ2\lambda_1 = \lambda_2).
Practice Photoelectric Effect and Wave–Particle Duality on Quantrex Academy →

More from Photoelectric Effect and Wave–Particle Duality

Determine the net energy absorbed by an atom during a process in which it absorbs a… Concepts Of Physics MCQ Edition [Volume 2]Compute the number of photons emitted per second by a 10 W sodium vapour lamp. Assume… Concepts Of Physics MCQ Edition [Volume 2]Assuming the sun is directly overhead, the surface of the earth receives sunlight at 1.4… Concepts Of Physics MCQ Edition [Volume 2]Assuming the sun is directly overhead, the surface of the earth receives sunlight at 1.4… Concepts Of Physics MCQ Edition [Volume 2]Assuming the sun is directly overhead, the surface of the earth receives sunlight at 1.4… Concepts Of Physics MCQ Edition [Volume 2]Determine the momentum of a light photon that has a wavelength of 500 nm . Concepts Of Physics MCQ Edition [Volume 2]Visible light encompasses wavelengths ranging from 400 nm to 780 nm . Determine the… Concepts Of Physics MCQ Edition [Volume 2]A beam of white light strikes a plane surface normally. The surface absorbs 70\% of the… Concepts Of Physics MCQ Edition [Volume 2] Full Photoelectric Effect and Wave–Particle Duality list All Concepts Of Physics MCQ Edition [Volume 2] PYQs