Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

Under ideal conditions, a visual sensation can occur in the human visual system if the light of wavelength 550nm is absorbed by the eye’s retina at a rate as low as 100 photons per second. What is the corresponding rate at which energy is absorbed by the retina?

The rate at which energy is absorbed by photon is $3.6 \times 10^{- 17} W .$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Describe the expression of the energy of the photon:

The energy of a photon is given by,

$E = \frac{h c}{λ}$ ….. (1)

Here, h is Planck’s constant, $λ$ is the wavelength, and c is the speed of light.

Determine the energy absorbed by the retina:

Consider the given data as below.

The wavelength, $λ = 550 n m .$

Plank’s constant, $h = 6.626 \times 10^{- 34} J . s .$

The speed of light, $c = 3 \times 10^{8} m / s$

Substitute the below values in eq 1.

$c = 3 \times 10^{8} m / s h = 6.626 \times 10^{- 34} J \cdot s λ = 550 nm$

$E = \frac{(6.626 \times 10^{- 34} J \cdot s) (3 \times 10^{8} m / s)}{(550 nm) (\frac{1 m}{10^{9} nm})} = 0.036 \times 10^{- 17} J = 3.6 \times 10^{- 19} J$

Find the energy absorbed by retina as follows.

$energyabsorbedbyretina = (photon per second) (energy of the photon) = (100 photons / s) (3.6 \times 10^{- 19} J / photons) = 3.6 \times 10^{- 17} J / s = 3.6 \times 10^{- 17} W$

Hence, the rate at which energy is absorbed by photon is $3.6 \times 10^{- 17} W .$

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Fundamentals Of Physics

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Short Answer

Under ideal conditions, a visual sensation can occur in the human visual system if the light of wavelength 550nm is absorbed by the eye’s retina at a rate as low as 100 photons per second. What is the corresponding rate at which energy is absorbed by the retina?

Step by Step Solution

Describe the expression of the energy of the photon:

Determine the energy absorbed by the retina:

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Fundamentals Of Physics

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Short Answer

Under ideal conditions, a visual sensation can occur in the human visual system if the light of wavelength 550nm is absorbed by the eye’s retina at a rate as low as 100 photons per second. What is the corresponding rate at which energy is absorbed by the retina?

Step by Step Solution

Describe the expression of the energy of the photon:

Determine the energy absorbed by the retina:

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