Concept explainers
(a)
The power
(a)
Answer to Problem 8P
The power radiated by the black body is
Explanation of Solution
Write the expression for the power radiated by the black body.
Here,
Conclusion:
Substitute
Thus, the power radiated by the black body is
(b)
The wavelength at which the blackbody radiate most intensely.
(b)
Answer to Problem 8P
The wavelength at which the blackbody radiate most intensely is
Explanation of Solution
Write the equation for the wavelength at which the blackbody radiate most intensely.
Here,
Conclusion:
Substitute
Thus, the wavelength at which the blackbody radiate most intensely is
(c)
The spectral power per wavelength interval at
(c)
Answer to Problem 8P
The spectral power per wavelength interval at
Explanation of Solution
Write the equation for
Here,
Write the equation for
Here,
Write the equation for the power per wavelength interval.
Substitute
Conclusion:
Substitute
Substitute
Substitute
Thus, the spectral power per wavelength interval at
(d)
The spectral power per wavelength interval at
(d)
Answer to Problem 8P
The spectral power per wavelength interval at
Explanation of Solution
From the equation (V) in part (c), the spectral power per wavelength is.
Conclusion:
Substitute
Thus, the spectral power per wavelength interval at
(e)
The spectral power per wavelength interval at
(e)
Answer to Problem 8P
The spectral power per wavelength interval at
Explanation of Solution
From the equation (V) in part (c), the spectral power per wavelength is.
Conclusion:
Substitute
Thus, the spectral power per wavelength interval at
(f)
The spectral power per wavelength interval at
(f)
Answer to Problem 8P
The spectral power per wavelength interval at
Explanation of Solution
From the equation (V) in part (c), the spectral power per wavelength is.
Conclusion:
Substitute
Thus, the spectral power per wavelength interval at
(g)
The spectral power per wavelength interval at
(g)
Answer to Problem 8P
The spectral power per wavelength interval at
Explanation of Solution
From the equation (V) in part (c), the spectral power per wavelength is.
Conclusion:
Substitute
Thus, the spectral power per wavelength interval at
(h)
The spectral power per wavelength interval at
(h)
Answer to Problem 8P
The spectral power per wavelength interval at
Explanation of Solution
From the equation (V) in part (c), the spectral power per wavelength is.
Conclusion:
Substitute
Thus, the spectral power per wavelength interval at
(I)
The spectral power per wavelength interval at
(I)
Answer to Problem 8P
The spectral power per wavelength interval at
Explanation of Solution
From the equation (V) in part (c), the spectral power per wavelength is.
Conclusion:
Substitute
Thus, the spectral power per wavelength interval at
(J)
The power radiated by the object as visible light.
(J)
Answer to Problem 8P
The power radiated by the object as visible light is
Explanation of Solution
The wavelengths
Write the equation for the power radiated.
Here,
Conclusion:
The average power is calculated from the visible area.
Substitute
Thus, the power radiated by the object as visible light is
Want to see more full solutions like this?
Chapter 39 Solutions
Physics for Scientists and Engineers with Modern Physics
- 1arrow_forwardSuppose a star with radius 8.51 108 m has a peak wavelength of 689 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_forwardSuppose 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
- 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_forwardSee Attachedarrow_forwardPlease answer asap, it's urgent.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_forwardThe radius of our Sun is 6.96 × 108 m, and its total power output is 3.85 × 1026 W. (a) Assuming the Sun’s surface emits as a black body, calculate its surface temperature. (b) Using the result of part (a), find λmax for the Sunarrow_forwardSome satellites use nuclear power. (a) If such a satellite emits a 1.00-W flux of y rays having an average energy of 0.500 MeV, how many are emitted per second? (b) These y rays affect other satellites. How far away must another satellite be to only receive one y ray per second per square meter?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_forwardPhotons of a certain infrared light have an energy of 1.76 10-19 J. (a) What is the frequency of this IR light? (b) Use ? = c/f to calculate its wavelength in nanometers.arrow_forwardAn infrared photon has a frequency of 8.3 E12 Hz. What is the energy of this photon, expressed in meV (milli electron-volt)? I tried the formula E=hf => E= (6.63E-34)(8.3E12) = 5.5029E-21 and then converted to meV as 3.43E22, but it's still wrong.arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning