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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 3.9×1026Wis at the single wavelength of 550 nm.

Short Answer

Expert verified

The rate of emitted protons from the Sun is1.00×1045photons/s.

Step by step solution

01

Describe the expression of energy of the photon

The energy Eof a photon of wavelength λis given by,

E=hcλ

Here, h is Planck’s 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=RhcλR=pλhc ......(1)
Substitute the below values in eq 1.

P=3.9×1026Wλ=590nmh=6.626×10-34J.sc=3×108m/s

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

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Most popular questions from this chapter

What are (a) the energy of a photon corresponding to wavelength 1.00nm, (b) The kinetic energy of an electron with de Broglie wavelength 1.00nm, (c) the energy of a photon corresponding to wavelength1.00fm, and (d) the kinetic energy of an electron with de Broglie wavelength1.00fm?

Light of wavelength 200nm shines on an aluminum surface; 4.20 eV is required to eject an electron. What is the kinetic energy of (a) the fastest and (b) the slowest ejected electrons? (c) What is the stopping potential for this situation? (d) What is the cut-off wavelength for aluminum?

Under ideal conditions, a visual sensation can occur in the human visual system if the light of wavelength 550nm is absorbed by the eye’s retina at a rate as low as 100 photons per second. What is the corresponding rate at which energy is absorbed by the retina?

A light detector (your eye) has an area of 2.00×10-6m2and absorbs 80% of the incident light, which is at wavelength 500 nm. The detector faces an isotropic source, 3.00 m from the source. If the detector absorbs photons at the rate of exactly4.000s-1at what power does the emitter emit light?

The existence of the atomic nucleus was discovered in 1911by Ernest Rutherford, who properly interpreted some experiments in which a beam of alpha particles was scattered from a metal foil of atoms such as gold. (a) If the alpha particles had a kinetic energy of 7.5MeV, what wads their de Broglie wavelength? (b) Explain whether the wave nature of the incident alpha particles should have been taken into account in interpreting these experiments. The mass of an alpha particle is4.00u (atomic mass units), and its distance of closest approach to the nuclear center in these experiments was about 30fm. (The wave nature of matter was not postulated until more than a decade after these crucial experiments were performed.)
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