Explanation Write the equation for the centripetal force acting on the electrons. F c = m e v 2 R (I) Here, F c is the centripetal force, m e is the mass of the electron, v is the speed of the electron and R is the radius of the circular path. Write the equation for the magnetic force acting on the electrons. F B = e v B (II) Here, F B is the magnitude of the magnetic force, e is the magnitude of the charge of the electron and B is the magnitude of the magnetic field. The centripetal force needed for the circular motion is provided by the magnetic force. Write the equation connecting centripetal and the magnetic force. F c = F B Put equations (I) and (II) in the above equation. m e v 2 R = e v B m e v = e B R (III) Write the equation for the maximum kinetic energy of the electrons. K max = 1 2 m e v 2 Here, K max is the maximum kinetic energy of the ejected electrons. Multiply both numerator and denominator of the above equation by m e . K max = 1 2 m e v 2 m e m e = m e 2 v 2 2 m e = ( m e v ) 2 2 m e Put equation (III) in the above equation

Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University

9th Edition

ISBN: 9781305372337

Author: Raymond A. Serway | John W. Jewett

Publisher: Cengage Learning

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Chapter 40, Problem 62AP

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The work function of the metal.

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Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University

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