Explanation 1) Concept: We use the photon energy formula. Substituting the frequency in energy of photon, we get the new formula of energy in terms of wavelength. Equating the energy of the photon and the kinetic energy of the electron, we solve for the speed of the electron. 2) Formula: i) E = h c λ ii) K = 1 2 m e v 2 3) Given: Wavelength of sodium light , λ = 590 n m . 4) Calculations: For a light of frequency f and wavelength λ , the energy E of the photon is E = h f where h is plank constant and f is the frequency. The wavelength λ is related to frequency f as f = c λ E = h c λ h = 6.63 × 10 - 34 J . s , c = 3 × 10 8 m / s We know that 1 e V = 1.602 × 10 - 19 J 1 = 1.602 × 10 - 19 J e V h c = 6.63 × 10 - 34 J . s 3 × 10 8 m s 1.602 × 10 - 19 J e V 10 - 9 m n m h c = 1241 e V

Fundamentals of Physics, Binder Ready Version

10th Edition

ISBN: 9781118230640

Author: Halliday, David; Resnick, Robert; Walker, Jearl

Publisher: WILEY

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Chapter 38, Problem 2P

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Speed of electron.

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Speed of electron.

Solution Summary: The author calculates the speed of electron using the photon energy formula and kinetic energy of the electron.

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Chapter 38 Solutions

To find:

Speed of electron.