College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question
Chapter 27, Problem 2P
(a)
To determine
The order of the magnitude of the wavelength of the thermally produced photons radiated with greatest intensity in a lightning.
(b)
To determine
The order of the magnitude of the wavelength of the thermally produced photons radiated with greatest intensity in a nuclear explosion.
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Lightning produces a maximum air temperature on the order of 104 K, whereas (b) a nuclear explosion produces a temperature on the order of 107 K. Use Wien’s displacement law to find the order of magnitude of the wavelength of the thermally produced photons radiated with greatest intensity by each of these sources. Name the part of the electromagnetic spectrum where you would expect each to radiate most strongly.
Question #1
a) Plot the energy spectral density p(2) of black-body radiation at T=3000 K and at 7= 5000 K.
(These correspond to the apparent temperatures of "warm white" and "cool white" light bulbs.)
(Note: Show both curves on a single graph, using a standard plotting software. Report the wave-
length in nanometers.)
b) For each of these two temperatures, at which wavelength is the radiation intensity maximum?
(Note: Report the wavelengths in nanometers. Your answers should be consistent with the curves
from part a), of course.)
Suppose a star with radius 8.50 × 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.
Chapter 27 Solutions
College Physics
Ch. 27.5 - Prob. 27.1QQCh. 27.5 - Prob. 27.2QQCh. 27.5 - Prob. 27.3QQCh. 27.6 - Prob. 27.4QQCh. 27.6 - Prob. 27.5QQCh. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - Prob. 3CQCh. 27 - Prob. 4CQCh. 27 - Prob. 5CQ
Ch. 27 - Prob. 6CQCh. 27 - Prob. 7CQCh. 27 - Prob. 8CQCh. 27 - Prob. 9CQCh. 27 - Prob. 10CQCh. 27 - Prob. 11CQCh. 27 - Prob. 12CQCh. 27 - Prob. 13CQCh. 27 - Prob. 14CQCh. 27 - Prob. 15CQCh. 27 - Prob. 16CQCh. 27 - Prob. 1PCh. 27 - Prob. 2PCh. 27 - Prob. 3PCh. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - Prob. 7PCh. 27 - Prob. 8PCh. 27 - Prob. 9PCh. 27 - Prob. 10PCh. 27 - Prob. 11PCh. 27 - Prob. 12PCh. 27 - Prob. 13PCh. 27 - Prob. 14PCh. 27 - Prob. 15PCh. 27 - Prob. 16PCh. 27 - Prob. 17PCh. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Prob. 20PCh. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - Prob. 24PCh. 27 - Prob. 25PCh. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - Prob. 28PCh. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - Prob. 33PCh. 27 - Prob. 34PCh. 27 - Prob. 35PCh. 27 - Prob. 36PCh. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - Prob. 40PCh. 27 - Prob. 41APCh. 27 - Prob. 42APCh. 27 - Prob. 43APCh. 27 - Prob. 44APCh. 27 - Prob. 45APCh. 27 - Prob. 46APCh. 27 - Prob. 47APCh. 27 - Prob. 48APCh. 27 - Prob. 49APCh. 27 - Prob. 50APCh. 27 - Prob. 51APCh. 27 - Prob. 52AP
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- 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/sarrow_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_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_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_forwardA blackbody is radiating at a temperature of 2.10 x 103 K. (a) What is the total energy density of the radiation? 9.18e16 eV/m3 (b) What fraction of the energy is emitted in the interval between 1.50 and 1.55 eV? (Give your answer in decimal or scientific notation.) 1.662e-17 (c) What fraction is emitted between 10.25 and 10.30 eV? (Give your answer in decimal or scientific notation.) 5.448e-19arrow_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
- you are sitting at a desk in a completely dark room. the room is at normal indoor room temperature. there is an inanimate and un-powered object on your desk (e.g., a box, pencil case, notebook,...). what wavelength of blackbody radiation is emitted from that object with greatest intensity? (assume the object has the same temperature as the rest of the room.) express your answer in microns.arrow_forwardLightning 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.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
- The sun approximates an ideal blackbody radiator at a temperature of 5825K. (a) By Wien’s Law, what is the peak wavelength of this distribution? (b) What is the energy of a blackbody photon at this wavelength? (c) Is this photon in the visible band of the electromagnetic spectrum and why or why not? (d) The Cosmic Microwave Background has a nearly perfect blackbody spectrum with a temperature of 2.73K. What is the peak blackbody wavelength?arrow_forwardPart A: If X=2.44 micrometers, what is the surface temperature of object A? Enter the numerical values in SI units. Part B: Which statement(s) characterize(s) the photons radiated by the object A? (Check any/all correct answers) a) The maximum wavelength of the mitted photons is X. b) All the emitted photons have a wavelength of X. c) Most (but not all) of the emitted photons have a wavelength of X.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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