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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

When nonmonochromatic light is utilized in a photoelectric effect...

When nonmonochromatic light is utilized in a photoelectric effect experiment, the stopping potential

Options

  1. Adepends on the mean wavelength
  2. Bdepends on the shortest wavelength
  3. Cdoes not depend on the wavelength
  4. Ddepends on the longest wavelength

Correct answer

B. depends on the shortest wavelength

Step-by-step solution

According to Einstein's photoelectric equation, the maximum kinetic energy of emitted photoelectrons is given by K_\max = \dfrac{hc}{\lambda} - \Phi, where λ\lambda is the wavelength of the incident light and Φ\Phi is the work function of the material.

The stopping potential V0V_0 is related to the maximum kinetic energy by eV_0 = K_\max.

When nonmonochromatic light is used, it consists of a range of wavelengths. The photoelectrons with the maximum kinetic energy are those emitted by the incident photons with the highest energy.

Since the energy of a photon is inversely proportional to its wavelength (E=hcλE = \dfrac{hc}{\lambda}), the highest energy photons correspond to the shortest wavelength present in the incident light.

Therefore, the maximum kinetic energy, and consequently the stopping potential, depends on the shortest wavelength of the incident nonmonochromatic light.
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