Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 39, Problem 4P
(a)
To determine
Temperature of blackbody on the emission of maximum wavelength.
(b)
To determine
Check whether the firefly
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For the thermal radiation from an ideal blackbody radiator with a surface temperature of 2000 K, let Ic represent the intensity per unit wavelength according to the classical expression for the spectral radiancy and IP represent the corresponding intensity per unit wavelength according to the Planck expression.What is the ratio Ic/IP for a wavelength of (a) 400 nm (at the blue end of the visible spectrum) and (b) 200 mm (in the far infrared)? (c) Does the classical expression agree with the Planck expression in the shorter wavelength range or the longer wavelength range?
(a) The star Dubhe emits radiation with a peak wavelength of 622 nm. What is its surface temperature (in K)? (Assume the star behaves like a blackbody.)
answer in K
(b) The star Deneb emits radiation with a peak wavelength of 340 nm. What is its surface temperature (in K)? (Assume the star behaves like a blackbody.)
answer in K
) 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?
Chapter 39 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 39.1 - Prob. 39.1QQCh. 39.2 - Prob. 39.2QQCh. 39.2 - Prob. 39.3QQCh. 39.2 - Prob. 39.4QQCh. 39.3 - Prob. 39.5QQCh. 39.5 - Prob. 39.6QQCh. 39.6 - Prob. 39.7QQCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3P
Ch. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 35PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40APCh. 39 - Prob. 41APCh. 39 - Prob. 43APCh. 39 - Prob. 44APCh. 39 - Prob. 45APCh. 39 - Prob. 46APCh. 39 - Prob. 47CPCh. 39 - Prob. 48CPCh. 39 - Prob. 49CPCh. 39 - Prob. 50CP
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- Consider a black body of surface area 20.0 cm2 and temperature 5 000 K. (a) How much power does it radiate? (b) At what wavelength does it radiate most intensely? Find the spectral power per wavelength interval at (c) this wavelength and at wavelengths of (d) 1.00 nm (an x- or gamma ray), (e) 5.00 nm (ultraviolet light or an x-ray), (f) 400 nm (at the boundary between UV and visible light), (g) 700 nm (at the boundary between visible and infrared light), (h) 1.00 mm (infrared light or a microwave), and (i) 10.0 cm (a microwave or radio wave). ( j) Approximately how much power does the object radiate as visible light?arrow_forwardFigure P27.45 shows the spectrum of light emitted by a firefly. (a) Determine the temperature of a blackbody that would emit radiation peaked at the same frequency. (b) Based on your result, explain whether firefly radiation is blackbody radiation.arrow_forwardThe Sun’s radiative power output is 3.846 × 1026 W and its emission spectrum peaks at 501.5 nm. Wien’s constant is 2.898 × 10−3 m ∙ K. a) Which region of the electromagnetic spectrum does the Sun’s peak-emission wavelength belong to? b)Calculate the surface temperature of the Sun: c)How much energy does one peak-emission photon carry? d)Estimate the number of photons leaving the Sun’s surface each second:arrow_forward
- (a) The smallest amount of energy needed to eject an electronfrom metallic sodium is 2.28 eV. Does sodium show a photoelectriceffect for red light, with l = 680 nm? (That is, does the light causeelectron emission?) (b) What is the cutoff wavelength forphotoelectric emission from sodium? (c) To what color does thatwavelength correspond?arrow_forwardMonochromatic light of frequency 6.0 ×1014 Hz is produced by a laser. The power emitted is 2.0 ×10-3 W. (a) What is the energy of a photon in the light beam? (b) How many photons per second, on an average, are emitted by the source?arrow_forwardA photoelectron is emitted from a barium surface illuminated by light of 6.5 x 10^14 Hz. To. What is the wavelength of light in nm? b. If barium has a work function of 2.48 eV, what is the kinetic energy of the photoelectron in eV?arrow_forward
- (a) For what temperature is the peak of blackbody radiation spectrum at 450 nm? ________K (b) If the temperature of a blackbody is 12C, at what wavelength does it radiate the most energy? ___________marrow_forward(a) For what temperature is the peak of blackbody radiation spectrum at 400 nm? (b) If the temperature of a blackbody is 800 K, at what wavelength does it radiate the most energy?arrow_forward(a) Calculate the number of photoelectrons per second that are ejected from a 1.00-mm2 area of sodium metal by a 500-nm radiation with intensity I .30kW/m2 (the intensity of sunlight above Earth’s atmosphere). (b) Given the work function of the metal as 2.28 eV, what power is carried away by these photoelectrons?arrow_forward
- (a) What is the energy of an electron whose de Brogue wavelength is that of a photon of yellow light with wavelength 590 nm? (b) What is the de Brogue wavelength of an electron whose energy is that of the photon of yellow light?arrow_forwardA laser with a power output of 2.00 mW at a 400-nm wavelength is used to project a beam of light onto a calcium photoelectrode. (a) How many photoelectrons leave the calcium surface per second? (b) What power is carried away by ejected photoelectrons, given that the work function of calcium is 2.31 eV? (c) Calculate the photocurrent. (d) If the photoelectrode suddenly becomes electrically insulated and the setup of two electrodes in the circuit suddenly starts to act like a 2.00-pF capacitor, how long will current flow before the capacitor voltage stops it?arrow_forward(a) Calculate the wavelength of a photon that has the same momentum as a proton moving with 1% of the speed of light in a vacuum. (b) What is the energy of this photon in MeV? (c) What is the kinetic energy of the proton in MeV?arrow_forward
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