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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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Most popular questions from this chapter

Question:For the arrangement of Figs. 38-14 and 38-15, electrons in the incident beam in region 1 have a speed of 1.60脳107m/sand region 2 has an electric potential of V2-500V. What is the angular wave number in (a) region 1 and (b) region 2? (c) What is the reflection coefficient? (d) If the incident beam sends 3.00脳109electrons against the potential step, approximately how many will be reflected?

Fig 38-14


Fig 38-15

An electron and a photon each have a wavelength of 0.20nm. What is the momentum (in kg鈰�ms) of the (a) electron and (b) photon? What is the energy (in eV) of the (c) electron and (d) photon?

Suppose we put A=0in Eq. 38-24 and relabeled Bas localid="1664290358337" 蠄0.

(a) What would the resulting wave function then describe?

(b) How, if at all, would Fig. 38-13 be altered?

A photon undergoes Compton scattering off a stationary free electron.

The photon scatters at90.0掳 from its initial direction;

its initial wavelength is3脳10-12鈥�m . What is the electron鈥檚 kinetic energy?

Calculate the Compton wavelength for

(a) an electron and

(b) a proton. What is the photon energy for an electromagnetic wave with a wavelength equal to the Compton wavelength of

(c) the electron and

(d) the proton.
See all solutions

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