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Chapter 38: Q3P (page 1181)

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

Short Answer

Expert verified

The rate of emitted protons from the Sun is1.00脳1045photons/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 Planck鈥檚 constant, and c is the speed of light.

02

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.

P=REP=Rhc位R=p位hc ......(1)
Substitute the below values in eq 1.

P=3.9脳1026W位=590nmh=6.626脳10-34J.sc=3脳108m/s

Therefore, the rate of emitted protons from the Sun is1.00脳1045photons/s.

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