At what rate does the Sun emit photons? For simplicity, assume that the Sun’s entire emission at the rate of is at the single wavelength of 550 nm.
The rate of emitted protons from the Sun is
The energy E of a photon of wavelength is given by,
Here, h is Planck’s constant, and c is the speed of light.
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.
......(1) Substitute the below values in eq 1.
Therefore, the rate of emitted protons from the Sun is
A satellite in Earth orbit maintains a panel of solar cells of area perpendicular to the direction of the Sun’s light rays. The intensity of the light at the panel is . (a) At what rate does solar energy arrive at the panel? (b) At what rate are solar photons absorbed by the panel? Assume that the solar radiation is monochromatic, with a wavelength of 550 nm, and that all the solar radiation striking the panel is absorbed. (c) How long would it take for a “mole of photons” to be absorbed by the panel?
Calculate the percentage change in photon energy during collision like that in Fig. 38-5 for and for radiation in
(a) the microwave range, with ;
(b) the visible range, with ;
(c) the x-ray range, with ; and
(d) the gamma-ray range, with a gamma photon energy of 1.0 MeV.
(e) What are your conclusions about the feasibility of detecting the Compton shift in these various regions of the electromagnetic spectrum, judging solely by the criterion of energy loss in a single photon-electron encounter?
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