Q4P A helium鈥搉eon laser emits red ... [FREE SOLUTION]

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Chapter 38: Q4P (page 1181)

A helium鈥搉eon laser emits red light at wavelength $位 = 633 n m$ in 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 is $1.7 脳 10^{21} photons / m^{2} . s$

Step by step solution

Describe the expression of energy of the photon

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

$E = \frac{h c}{位}$

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

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.

$\begin{matrix} P = R E \\ P = R (\frac{h c}{位}) \\ R = \frac{p 位}{h c} \end{matrix}$ 鈥︹€� (1)

Divide the rate R by area of the beam.

$\begin{matrix} \frac{R}{A} = \frac{P 位}{h c 脳 \frac{蟺}{4} d^{2}} \\ = \frac{4 P 位}{蟺 d^{2} h c} \end{matrix}$ 鈥︹€� (2)

Therefore, the rate of absorption of photon per unit area is ${1.7脳10}^{21} photons / m^{2} . s$

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	Electron Energy	Barrier Height	Barrier Thickness
(a)	E	5E	L
(b)	E	17E	L/2
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91影视

A helium鈥搉eon laser emits red light at wavelength $位 = 633 n m$ in 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

Step by step solution

Describe the expression of energy of the photon

Determine the rate of absorption of photon per unit area

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Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Wave Optics

Conservation of Energy and Momentum

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Study anywhere. Anytime. Across all devices.

91影视

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

Step by step solution

Describe the expression of energy of the photon

Determine the rate of absorption of photon per unit area

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Wave Optics

Conservation of Energy and Momentum

Fluids

Electromagnetism

Physics of Motion

Physical Quantities And Units

Study anywhere. Anytime. Across all devices.

A helium鈥搉eon laser emits red light at wavelength $位 = 633 n m$ in 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?