Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

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.

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

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TABLE OF CONTENTS

Describe the expression of energy of the photon

The energy E of 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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Fundamentals Of Physics

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Short Answer

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.

Step by Step Solution

Describe the expression of energy of the photon

Determine the rate of emission of the photon

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Fundamentals Of Physics

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Short Answer

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

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 $3.9 \times 10^{26} W$ is at the single wavelength of 550 nm.