Explanation 1) Concept: We can write the formula for maximum kinetic energy of electron ejected undergoing photoelectric effect . From this, we can conclude whether it depends on the intensity of the incident light beam. We can predict whether the maximum photoelectric current depends on the intensity of the incident light beam from whether the number of incident photons get increased. Then from the formulae for stopping potential and work function, we can predict whether the stopping potential and cut off frequency depend on the intensity of the incident light beam. 2) Formulae: i) K m a x = h f - ϕ ii) e V = h c λ - ϕ iii) ϕ = h f 0 3) Calculations: a) The maximum kinetic energy of the electrons: The maximum kinetic energy of electrons emitted due to photoelectric effect is given by K m a x = h f - ϕ … … … … … … … … . … … … … … … … … … … … … … … …

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

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Chapter 38, Problem 2Q

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The quantities that depend on the intensity of the incident light beam

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In the photoelectric effect (for a given target and a given frequency of the incident light), which of these quantities, if any, depend on the intensity of the incident light beam: (a) the maximum kinetic energy of the electrons, (b) the maximum photoelectric current, (c) the stopping potential, (d) the cutoff frequency?

The photoelectric equation for the kinetic energy of a photoelectron is, following Einstein, E ≤ hf − W, where h is Planck’s constant, f is the frequency of the light and W is the work-function.When cesium is illuminated by monochromatic ultraviolet light of wavelength 365 nm, electronsare emitted. The stopping potential is found to be 1.3 V. a) Calculate the work function W of cesium.b) Calculate the maximum speed of the electrons.

In aphotoelectric effect experiment, light of frequency 1.15x10-15 Hz strikes a metal surface and electrons are emitted immediately. The work function of the metal is 2.3 eV. Calculate the 8. (a) threshold frequency of the metal. (b) maximum kinetic energy of the photoelectrons. (c) stopping potential of the photoelectrons.

Chapter 38 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

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The quantities that depend on the intensity of the incident light beam

Solution Summary: The author explains how the maximum photoelectric current depends on the intensity of the incident light beam.

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To find: The quantities that depend on the intensity of the incident light beam

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Chapter 38 Solutions

To find:

The quantities that depend on the intensity of the incident light beam