Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 3, Problem 14E
To determine
To Show: The Wien’s law follows from spectral energy density.
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The intensity of blackbody radiation peaks at a wavelength of 583 nm.
(a) What is the temperature (in K) of the radiation source? (Give your answer to at least 3 significant figures.)
K
(b) Determine the power radiated per unit area (in W/m2) of the radiation source at this temperature.
W/m?
The intensity of blackbody radiation peaks at a wavelength of 613 nm.
(a) What is the temperature (in K) of the radiation source? (Give your answer to at least 3 significant figures.)
K
(b) Determine the power radiated per unit area (in W/m?) of the radiation source at this temperature.
W/m2
J 6
Calculate the proportion of energy emitted by a black body radiator at
T=5000 K in two bands of width 10 nm, once centered at 500 nm (visible light) and the
other at 5000 nm (infrared light).
Chapter 3 Solutions
Modern Physics
Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - Prob. 7CQCh. 3 - A ball rebounds elastically from the floor. What...Ch. 3 - Prob. 9CQCh. 3 - Prob. 10CQ
Ch. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - What is the stopping potential when 250 nm...Ch. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 30ECh. 3 - Prob. 31ECh. 3 - Prob. 32ECh. 3 - Prob. 33ECh. 3 - Prob. 34ECh. 3 - Prob. 35ECh. 3 - Prob. 36ECh. 3 - Verify that the Chapter 2 formula KE=mc2 applies...Ch. 3 - Prob. 38ECh. 3 - Prob. 39ECh. 3 - Prob. 40ECh. 3 - Prob. 41ECh. 3 - Prob. 42ECh. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47CECh. 3 - Prob. 49CECh. 3 - Prob. 50CECh. 3 - Prob. 51CECh. 3 - Prob. 52CECh. 3 - Prob. 53CECh. 3 - Prob. 54CECh. 3 - Prob. 55CE
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- The Sun is approximately an ideal blackbody radiator with a surface temperature of 5800 K. (a) Find the wavelength at which its spectral radiancy is maximum and (b) identify the type of electromagnetic wave corresponding to that wavelength. (c) As we shall discuss in Chapter 44, the universe is approximately an ideal blackbody radiator with radiation emitted when atoms first formed.Today the spectral radiancy of that radiation peaks at a wavelength of 1.06 mm (in the microwave region).What is the corresponding temperature of the universe?arrow_forwardThe radius of our sun is r = 6.96 × 108 m and its total power is 3.85 × 1026 W. The area of a sphere is A = 4πr2.a) Assuming that the surface of the Sun emits like a black body, calculate its surface temperatureb) Using the result of part (a), find λmax for the sun.arrow_forwardAn astronomer observes the spectrum of a distant star and notices that the Hydrogen alpha absorption line appears with a wavelength of 590.4 nm. This spectral line has a wavelength of 656 nm when measured in the laboratory. Choose the option below that most plausibly explains this observation. Select one: а. Some intervening material must be imposing an unusual absorption spectrum on the star's continuum radiation O b. The star is moving towards the observer with a speed of 10% of the speed of light. О с. The star is moving away from the observer with a speed of 10% of the speed of light O d. The star is moving towards the observer with a speed 10 m/s O e. The star has a very hot atmosphere е. that changes the wavelengths of the spectral linesarrow_forward
- The temperature of an electric heating element is 150°C. At what wavelength does the radiation emitted from the heating element reach its peak? Model the tungsten filament of a lightbulb as a black body at temperature 2 900 K. (a) Determine the wave- length of light it emits most strongly. (b) Explain why the answer to part (a) suggests that more energy from the lightbulb goes into infrared radiation than into vis- ible light.arrow_forwardThe intensity of blackbody radiation peaks at a wavelength of 583 nm. (a) What is the temperature (in K) of the radiation source? (Give your answer to at least 3 significant figures.) K (b) Determine the power radiated per unit area (in W/m2) of the radiation source at this temperature. Review Stefan's law. What is the emissivity of a blackbody? W/m2arrow_forwardConsider a material that is well approximated by a black body. The max. emitted irradiance is found at a wavelength of 445 nm. What is the temperature of the black body. Provide your answer in Kelvin.arrow_forward
- Consider a black body of surface area 22.0 cm² and temperature 5700 K. (a) How much power does it radiate? 131675.5 W (b) At what wavelength does it radiate most intensely? 508.421 nm (c) Find the spectral power per wavelength at this wavelength. Remember that the Planck intensity is "intensity per unit wavelength", with units of W/m³, and "power per unit wavelength" is equal to that intensity times the surface area, with units of W/m 131.5775 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. W/marrow_forwardTwo stars, both of which behave like ideal blackbodies, radiate the same total energy per second. The cooler one has a surface temperature T and a diameter 3.0 times that of the hotter star. (a) What is the temperature of the hotter star in terms of T ? (b) What is the ratio of the peak-intensity wavelength of the hot star to the peak-intensity wavelength of the cool star?arrow_forwardyou 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_forward
- What is the energy of a light quantum (photon) which has a wavelength of 600nm? Compare the energy with the electron wave energy calculated in problem 2 (6.6935 x 10-25) and disscuss the difference.arrow_forwardModel the tungsten filament of a lightbulb as a black body at temperature 2 900 K. (a) Determine the wavelength of light it emits most strongly. (b) Explain why the answer to part (a) suggests that more energy from the lightbulb goes into infrared radiation than into visible light.arrow_forwardA 100-Watt tungsten filament lamp operates at a temperature of 2198 K. Assuming that the filament emits like a black body, determine the wavelength (in nm) of the maximum irradiancearrow_forward
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