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Chapter 38: Q4P (page 1181)

A helium鈥搉eon laser emits red light at wavelength 位=633nmin a beam of diameter 3.5 mm and at an energy-emission rate of 5.0 mW. A detector in the beam鈥檚 path totally absorbs the beam. At what rate per unit area does the detector absorb photons?

Short Answer

Expert verified

The rate of absorption of photon per unit area is1.7脳1021photons/m2.s

Step by step solution

01

Describe the expression of energy of the photon

The energy Eof a photon of wavelength位 is given by,

E=hc位

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

02

Determine the rate of absorption of photon per unit area 

Assume that the protons are emitted by a rate R from the sodium lamp. Then, the power P of the sodium lamp is equal to the product of rate R and the energy of each photon E.

P=REP=Rhc位R=p位hc鈥︹�� (1)

Divide the rate R by area of the beam.

RA=P位hc脳蟺4d2=4P位蟺d2hc鈥︹�� (2)

Therefore, the rate of absorption of photon per unit area is1.7脳1021photons/m2.s

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Most popular questions from this chapter

Question:Consider a potential energy barrier like that of Fig. 38-17but whose height Ubis and 6eVwhose thickness Lis 0.70nm. What is the energy of an incident electron whose transmissioncoefficient is 0.0010?

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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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