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Chapter 38: Q12P (page 1182)

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

Short Answer

Expert verified

The rate at which energy is absorbed by photon is3.6脳10-17W.

Step by step solution

01

Describe the expression of the energy of the photon:

The energyof a photon is given by,

E=hc位鈥�.. (1)

Here, h is Planck鈥檚 constant, 位is the wavelength, and c is the speed of light.

02

Determine the energy absorbed by the retina:

Consider the given data as below.

The wavelength, 位=550nm.

Plank鈥檚 constant, h=6.626脳10-34J.s.

The speed of light, c=3脳108m/s

Substitute the below values in eq 1.

c=3脳108m/sh=6.626脳10-34J路s位=550nm

E=6.626脳10-34J路s3脳108m/s550nm1m109nm=0.036脳10-17J=3.6脳10-19J

Find the energy absorbed by retina as follows.

energyabsorbedbyretina=photonpersecondenergyofthephoton=(100photons/s)3.6脳10-19J/photons=3.6脳10-17J/s=3.6脳10-17W

Hence, the rate at which energy is absorbed by photon is3.6脳10-17W.

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Most popular questions from this chapter

Imagine playing baseball in a universe (not ours!) where the Planck constant is 0.60 J.s, and thus quantum physics affects macroscopic objects. What would be the uncertainty in the position of a 0.50 kg baseball that is moving at 20 m/s along an axis if the uncertainty in the speed is 1.0 m/s?

Just after detonation, the fireball in a nuclear blast is approximately an ideal blackbody radiator with a surface temperature of about 1.0脳107K.

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(c) Find the wavelength at which the thermal radiation is maximum and (d) identify the type of electromagnetic wave corresponding to that wavelength.

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Show that 螖E/E, the fractional loss of energy of a photon during a collision with a particle of mass m, is given by

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