Chapter 38: Q3P (page 1181)

At what rate does the Sun emit photons? For simplicity, assume that the Sun’s entire emission at the rate of $3.9 \times 10^{26} W$ is at the single wavelength of 550 nm.

Short Answer

Expert verified

The rate of emitted protons from the Sun is $1.00 \times 10^{45} photons / s .$

Step by step solution

Describe the expression of energy of the photon

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

$E = \frac{h c}{λ}$

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

Determine the rate of emission of the photon

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.

$\begin{matrix} P = R E \\ P = R (\frac{h c}{λ}) \\ R = \frac{p λ}{h c} \end{matrix}$ ......(1)
Substitute the below values in eq 1.

$P = 3.9 \times 10^{26} W λ = 590 nm h = 6.626 \times 10^{- 34} J . s c = 3 \times 10^{8} m / s$

Therefore, the rate of emitted protons from the Sun is $1.00 \times 10^{45} photons / s .$

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At what rate does the Sun emit photons? For simplicity, assume that the Sun’s entire emission at the rate of $3.9 \times 10^{26} W$ is at the single wavelength of 550 nm.

Short Answer

Step by step solution

Describe the expression of energy of the photon

Determine the rate of emission of the photon

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At what rate does the Sun emit photons? For simplicity, assume that the Sun’s entire emission at the rate of 3.9×1026Wis at the single wavelength of 550 nm.

Short Answer

Step by step solution

Describe the expression of energy of the photon

Determine the rate of emission of the photon

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Fields in Physics

Further Mechanics and Thermal Physics

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Geometrical and Physical Optics

Astrophysics

Study anywhere. Anytime. Across all devices.

At what rate does the Sun emit photons? For simplicity, assume that the Sun’s entire emission at the rate of $3.9 \times 10^{26} W$ is at the single wavelength of 550 nm.