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

Suppose n_r and n_b represent the number of photons emitted by a red bulb and a blue bulb respectively, both having equal power, during a given time interval. Which of the following is true?

Options

  1. An_r = n_b
  2. Bn_r < n_b
  3. CThe given information is insufficient to establish a relation between n_r and n_b
  4. Dn_r > n_b

Correct answer

D. n_r > n_b

Step-by-step solution

The energy of a single photon is given by E = hc , where h is Planck's constant, c is the speed of light, and is the wavelength. The total energy emitted by a bulb of power P in time interval t is E_ total = P t . The number of photons emitted in time t is n = E_ total E = P t hc . Since the power P and time interval t are the same for both bulbs, the number of photons emitted is directly proportional to the wavelength of the light, i.e., n . The wavelength of red light is greater than the wavelength of blue light

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