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

A parallel beam of monochromatic light having a wavelength of 663 nm is incident on a totally reflecting plane mirror. The angle of incidence is 60^ , and 1.0 10¹⁹ photons strike the mirror each second. Determine the force exerted by the light beam on the mirror.

Options

  1. A1.73 10⁻⁸ N
  2. B1.0 10⁻⁸ N
  3. C2.0 10⁻⁸ N
  4. D5.0 10⁻⁹ N

Correct answer

B. 1.0 10⁻⁸ N

Step-by-step solution

The momentum of a single photon is given by p = h . When a photon strikes a totally reflecting mirror at an angle of incidence , the component of its momentum perpendicular to the mirror is p . Upon reflection, this perpendicular component reverses its direction, while the parallel component remains unchanged. The change in momentum of each photon is: p = 2p = 2h The force exerted on the mirror is the total change in momentum per second, which is the product of the number of photons striking per second ( n ) and th

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