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 11th Edition Loose-leaf Print Companion Volume 2 With Wileyplus Card Set

11th Edition

ISBN: 9781119463252

Author: David Halliday

Publisher: John Wiley and Sons

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Speed of electron.

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Fundamentals Of Physics 11th Edition Loose-leaf Print Companion Volume 2 With Wileyplus Card Set

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