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

Determine the momentum of a light photon that has a wavelength of...

Determine the momentum of a light photon that has a wavelength of 500 nm500 \text{ nm}.

Options

  1. A1.33×10−27 kg m/s1.33 \times 10^{-27} \text{ kg m/s}
  2. B3.98×10−19 kg m/s3.98 \times 10^{-19} \text{ kg m/s}
  3. C1.33×10−36 kg m/s1.33 \times 10^{-36} \text{ kg m/s}
  4. D3.31×10−40 kg m/s3.31 \times 10^{-40} \text{ kg m/s}

Correct answer

A. 1.33×10−27 kg m/s1.33 \times 10^{-27} \text{ kg m/s}

Step-by-step solution

The momentum of a photon is given by the de Broglie relation:

p=hλp = \dfrac{h}{\lambda}

Given λ=500 nm=500×10−9 m\lambda = 500 \text{ nm} = 500 \times 10^{-9} \text{ m} and Planck's constant h=6.63×10−34 J sh = 6.63 \times 10^{-34} \text{ J s}.

Substituting the values:

p=6.63×10−34500×10−9p = \dfrac{6.63 \times 10^{-34}}{500 \times 10^{-9}}

p=6.635×10−27p = \dfrac{6.63}{5} \times 10^{-27}

p=1.326×10−27 kg m/sp = 1.326 \times 10^{-27} \text{ kg m/s}

Rounding off, we get 1.33×10−27 kg m/s1.33 \times 10^{-27} \text{ kg m/s}.
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]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]A small, totally reflecting plane mirror is positioned horizontally to face a parallel… Concepts Of Physics MCQ Edition [Volume 2] Full Photoelectric Effect and Wave–Particle Duality list All Concepts Of Physics MCQ Edition [Volume 2] PYQs