Explanation Write the equation for the energy of a photon. E γ = h f (I) Here, E γ is the energy of a photon, h is the Planks constant and f is the frequency of the photon. Write the equation for the frequency of a photon. f = c λ Here, c is the speed of the photon and λ is the wavelength of the photon. Put the above equation in equation (I). E γ = h c λ (II) Power is the ratio of work to time. The work done is equal to the energy so that power can be written as the ratio of energy to time. Write the equation for the power entering the eye. P = E Δ t Here, P is the power, E is the energy entering the eye and Δ t is the time. Rewrite the above equation for E . E = P Δ t (III) Write the equation for the intensity of the light. I = P A Here, I is the intensity of the light and A is the area of the pupil. Rewrite the above equation for P . P = I A Put the above equation in equation (III). E = I A Δ t (IV) Write the equation for the area of the pupil. A = π ( d 2 ) 2 = π d 2 4 Here, d is the diameter of the pupil. Put the above equation in equation (IV). E = I π d 2 4 Δ t (V) Write the equation for the number of photons entering the eye. n = E E γ (VI) Here, n is the number of photons entering the eye

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

9th Edition

ISBN: 9781305266292

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 40, Problem 5P

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The number of photons per second that enter the eye.

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