Concepts Of Physics MCQ Edition [Volume 2]PhysicsPhotoelectric Effect and Wave–Particle Duality
Determine the momentum of a light photon that has a wavelength of 500 nm .
Options
- A1.33 10⁻²⁷ kg m/s
- B3.98 10⁻¹⁹ kg m/s
- C1.33 10⁻³⁶ kg m/s
- D3.31 10⁻⁴⁰ kg m/s
Correct answer
A. 1.33 10⁻²⁷ kg m/s
Step-by-step solution
The momentum of a photon is given by the de Broglie relation: p = h Given = 500 nm = 500 10⁻⁹ m and Planck's constant h = 6.63 10⁻³⁴ J s . Substituting the values: p = 6.63 10⁻³⁴ 500 10⁻⁹ p = 6.63 5 10⁻²⁷ p = 1.326 10⁻²⁷ kg m/s Rounding off, we get 1.33 10⁻²⁷ kg m/s .