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

The dimensions of the Planck constant are identical to those of

The dimensions of the Planck constant are identical to those of

Options

  1. Aforce ×\times distance ×\times time
  2. Bforce ×\times time
  3. Cforce ×\times speed
  4. Dforce ×\times distance

Correct answer

A. force ×\times distance ×\times time

Step-by-step solution

From the relation E=hνE = h\nu, the dimensions of the Planck constant hh are given by

[h]=[E][ν]=[ML2T−2][T−1]=[ML2T−1][h] = \dfrac{[E]}{[\nu]} = \dfrac{[M L^2 T^{-2}]}{[T^{-1}]} = [M L^2 T^{-1}]

Evaluating the dimensions of the given options:

Force ×\times distance ×\times time = [MLT−2]×[L]×[T]=[ML2T−1][M L T^{-2}] \times [L] \times [T] = [M L^2 T^{-1}]

Force ×\times time = [MLT−2]×[T]=[MLT−1][M L T^{-2}] \times [T] = [M L T^{-1}]

Force ×\times speed = [MLT−2]×[LT−1]=[ML2T−3][M L T^{-2}] \times [L T^{-1}] = [M L^2 T^{-3}]

Force ×\times distance = [MLT−2]×[L]=[ML2T−2][M L T^{-2}] \times [L] = [M L^2 T^{-2}]

The dimensions of the Planck constant match those of force ×\times distance ×\times time.
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