Explanation Write the equation for the maximum kinetic energy of the photoelectrons K = 1 2 m v max 2 Here, K is the maximum kinetic energy of the photoelectrons, m is the mass of electron and v max is the maximum speed of the photoelectrons Rewrite the above equation for v max . v max = 2 K m (I) The maximum kinetic energy of the photoelectrons is the energy of the photon absorbed minus the work function of the metal. K = h f − ϕ (II) Here, h is the Planck’s constant, f is the frequency of the photon and ϕ is the work function of the metal Write the equation for the frequency of the photon. f = c λ Here, c is the speed of light in vacuum and λ is the wavelength of the photon Put the above equation in equation (II). K = h c λ − ϕ (III) Conclusion: Given that the wavelength of the light is 235 nm . The value of h is 4.136 × 10 − 15 eV ⋅ s , the value of c is 3.0 × 10 8 m/s , the mass of electron is 9.11 × 10 − 31 kg and the work function of nickel is 5.1 eV . Substitute 4.136 × 10 − 15 eV ⋅ s for h , 3.0 × 10 8 m/s for c , 235 nm for λ and 5.1 eV for ϕ in equation (III) to find K . K = ( 4.136 × 10 − 15 eV ⋅ s ) ( 3

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ISBN: 9780321902788

Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain

Publisher: PEARSON

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Chapter 28, Problem 8P

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The maximum speed of photoelectrons emitted from the nickel surface.

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