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Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Question
Chapter 40, Problem 3P
(a)
To determine
The order of magnitude of the wavelength of the thermally produced photons in lightning and thunder.
(b)
To determine
The region in the spectrum where the lightning and thunder will
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Lightning produces a maximum air temperature on the order of 9.7 ✕ 103 K, whereas a nuclear explosion produces a temperature on the order of 9.6 ✕ 106 K. Use Wien's displacement law to calculate the wavelength of the thermally-produced photons radiated with greatest intensity by each of these sources. Select the part of the electromagnetic spectrum where you would expect each to radiate most strongly.
(a) lightning
?max ≈ nm
It radiates most strongly in the part of the spectrum.
(b) nuclear explosion
?max ≈ pm
It radiates most strongly in the part of the spectrum.
Suppose a star with radius 8.50 x 108 m has a peak wavelength of 685 nm in the spectrum of its emitted radiation. (a) Find the energy of a photon with this wavelength. (b) What is the surface temperature of the star? (c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). (d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star.
Suppose a star with radius 8.69 x 10° m has a peak wavelength of 684 nm in the spectrum of its emitted radiation.
(a) Find the energy of a photon with this wavelength.
0.029e-17
J/photon
(b) What is the surface temperature of the star?
4274.3
X K
(c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1).
1.9934e17
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each
step carefully. W
(d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star.
X photons/s
Chapter 40 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 40.1 - Prob. 40.1QQCh. 40.2 - Prob. 40.2QQCh. 40.2 - Prob. 40.3QQCh. 40.2 - Prob. 40.4QQCh. 40.3 - Prob. 40.5QQCh. 40.5 - Prob. 40.6QQCh. 40.6 - Prob. 40.7QQCh. 40 - Prob. 1OQCh. 40 - Prob. 2OQCh. 40 - Prob. 3OQ
Ch. 40 - Prob. 4OQCh. 40 - Prob. 5OQCh. 40 - Prob. 6OQCh. 40 - Prob. 7OQCh. 40 - Prob. 8OQCh. 40 - Prob. 9OQCh. 40 - Prob. 10OQCh. 40 - Prob. 11OQCh. 40 - Prob. 12OQCh. 40 - Prob. 13OQCh. 40 - Prob. 14OQCh. 40 - Prob. 1CQCh. 40 - Prob. 2CQCh. 40 - Prob. 3CQCh. 40 - Prob. 4CQCh. 40 - Prob. 5CQCh. 40 - Prob. 6CQCh. 40 - Prob. 7CQCh. 40 - Prob. 8CQCh. 40 - Prob. 9CQCh. 40 - Prob. 10CQCh. 40 - Prob. 11CQCh. 40 - Prob. 12CQCh. 40 - Prob. 13CQCh. 40 - Prob. 14CQCh. 40 - Prob. 15CQCh. 40 - Prob. 16CQCh. 40 - Prob. 17CQCh. 40 - The temperature of an electric heating element is...Ch. 40 - Prob. 2PCh. 40 - Prob. 3PCh. 40 - Prob. 4PCh. 40 - Prob. 5PCh. 40 - Prob. 6PCh. 40 - Prob. 7PCh. 40 - Prob. 8PCh. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Prob. 16PCh. 40 - Prob. 17PCh. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 22PCh. 40 - Prob. 23PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 29PCh. 40 - Prob. 30PCh. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 45PCh. 40 - Prob. 46PCh. 40 - Prob. 47PCh. 40 - Prob. 48PCh. 40 - Prob. 49PCh. 40 - Prob. 50PCh. 40 - Prob. 51PCh. 40 - Prob. 52PCh. 40 - Prob. 53PCh. 40 - Prob. 54PCh. 40 - Prob. 55PCh. 40 - Prob. 56PCh. 40 - Prob. 57PCh. 40 - Prob. 58PCh. 40 - Prob. 59PCh. 40 - Prob. 60APCh. 40 - Prob. 61APCh. 40 - Prob. 62APCh. 40 - Prob. 63APCh. 40 - Prob. 64APCh. 40 - Prob. 65APCh. 40 - Prob. 66APCh. 40 - Prob. 67APCh. 40 - Prob. 68APCh. 40 - Prob. 69APCh. 40 - Prob. 70APCh. 40 - Prob. 71APCh. 40 - Prob. 72CPCh. 40 - Prob. 73CPCh. 40 - Prob. 74CPCh. 40 - Prob. 75CPCh. 40 - Prob. 76CP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Treat the human body as a blackbody and determine the percentage increase in the total power of its radiation when its temperature increases from 98.6 °F to 103 ° F.arrow_forwardThe Red Supergiant Betelgeuse. The star Betelgeuse has a surface temperature of 3000 K and is 600 times the diameter of our sun. (If our sun were that large, we would be inside it!) Assume that it radiates like an ideal blackbody. (a) If Betelgeuse were to radiate all of its energy at the peak intensity wavelength, how many photons per second would it radiate? (b) Find the ratio of the power radiated by Betelgeuse to the power radiated by our sun (at 5800 K).arrow_forward) a) What temperature is required for a black body spectrum to peak in the X-ray band? (Assume that E = 1 keV). What is the frequency and wavelength of a 1 keV photon? b) What is one example of an astrophysical phenomenon that emits black body radiation that peaks near 1 keV? c) What temperature is required for a black body spectrum to peak in the gamma-ray band with E = 1 GeV? What is the frequency and wavelength of a 1 GeV photon? d) What is one example of an astrophysical phenomenon that emits black body radiation that peaks at 1 GeV?arrow_forward
- Suppose a star with radius 8.57 × 108 m has a peak wavelength of 680 nm in the spectrum of its emitted radiation. (a) Find the energy of a photon with this wavelength. J/photon (b) What is the surface temperature of the star? K (c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). W (d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star. photons/sarrow_forwardPhotons of a certain ultraviolet light have an energy of 6.04 10-19 J. (a) What is the frequency of this UV light? (b) Use ? = c/f to calculate its wavelength in nanometers (nm).arrow_forwardSuppose an infrared photon has a frequency of 2.2 × 1013 Hz. Part (a) Calculate the energy, in electron volt, of the infrared photon. Part (b) How many of these photons would need to be absorbed simultaneously by a molecule with binding energy 10.0 eV to break it apart? Part (c) What is the energy, in electron volts, of a γ-ray of frequency 2.95 × 1020 Hz? Part (d) What is the largest number of the molecules from part (b) that a single such γ-ray could break apart?arrow_forward
- (a) The air immediately surrounding a certain lightning bolt in a thunderstorm is briefly heated to a temperature of 8.90 ✕ 103 K. Assuming the affected air behaves like a blackbody, what is the wavelength (in nm) of the photons emitted with the greatest intensity? ?max = answer in nm In which band of the electromagnetic spectrum does the air most strongly radiate? gamma ray / x-rayultraviolet visibleinfraredmicrowaveradio wave (b) The air immediately surrounding the detonation of a certain nuclear weapon is heated to a temperature of 9.90 ✕ 106 K.Assuming the heated air behaves like a blackbody, what is the wavelength (in pm) of the photons emitted with the greatest intensity? ?max = answer in pm In which band of the electromagnetic spectrum does the air most strongly radiate? gamma ray / x-rayultraviolet visibleinfraredmicrowaveradio wavearrow_forwardThe Earth has an average surface temperature of 288K and the Sun has an average surface temperature of 5800K. Assume them to be black bodies. If the only radiation that either black body emitted was at it's peak wavelength how many more photons would Earth need to radiation than receive in order for the climate to be stable.arrow_forwardPhotons of a certain infrared light have an energy of 1.05 10-19 J. (a) What is the frequency of this IR light? (b) Use ? = c/f to calculate its wavelength in nanometers.arrow_forward
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