A blackbody radiator has temperature 5350. K. Calculate the ratio of the spectral densities (ρλ1/ρλ2) for...
A blackbody radiator has temperature 5350. K. Calculate the ratio of the spectral densities (ρλ1/ρλ2) for wavelengths λ1=491 nm and λ2=673 nm.
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A blackbody radiator has temperature 5350. K. Calculate the
ratio of the spectral densities
(ρλ1/ρλ2)
for...
Three discrete spectral lines occur at angles of 10.1°, 13.7°, and 15.0°, respectively, in the first-order...
Three discrete spectral lines occur at angles of 10.1°, 13.7°, and 15.0°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3670 slits/cm, what are the wavelengths of the light? λ1 = ?nm (10.1°) λ2 = ?nm (13.7°) λ3 = ?nm (15.0°) (b) At what angles are these lines found in the second-order spectra? θ = ?° (λ1) θ = ?° (λ2) θ = ?° (λ3)
Three discrete spectral lines occur at angles of 10.4°, 13.6°, and 14.9°, respectively, in the first-order...
Three discrete spectral lines occur at angles of 10.4°, 13.6°, and 14.9°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3740 slits/cm, what are the wavelengths of the light? λ1 = nm (10.4°) λ2 = nm (13.6°) λ3 = nm (14.9°) (b) At what angles are these lines found in the second-order spectra? θ = ° (λ1) θ = ° (λ2) θ = ° (λ3)
The cosmic background radiation permeating the universe has the spectrum of a 2.7-K blackbody radiator. What...
The cosmic background radiation permeating the universe has the spectrum of a 2.7-K blackbody radiator. What is the peak wavelength of this radiation? The constant in Wien's law is 0.0029 m ∙ K. Hint: the answer will be in mm
The temperature of a blackbody is 3000 K. Determine the fraction of the radiant energy it...
The temperature of a blackbody is 3000 K. Determine the fraction of the radiant energy it emits that wavelengths less than 1.6 μm.
3. Calculate the blackbody temperatures (K) from the peak wavelengths given in a) through b), and...
3. Calculate the blackbody temperatures (K) from the peak wavelengths given in a) through b), and the peak wavelength (m) from the temperatures given in c) through d): a. 180 nm (surface of hot star) b. 2.4 microns (surface of cold star) c. 60 K (interstellar cloud) d. 3 K cosmic microwave background radiation left over from the Big Bang
(a) Schematically draw the spectral emissive power of two blackbodies with the temperature of 2400 K...
(a) Schematically draw the spectral emissive power of two blackbodies with the temperature of 2400 K and 300 K (ie. EBA versus λ). What are the wavelengths at the maximum spectral emissive power? (5 pts) (b) A thin-walled plate separates the interior of a large furnace from surroundings at 300 K. The plate is fabricated from a ceramic material for which diffuse surface behavior may be assumed and the exterior surface is air-cooled. With the furnace operating at 2400 K...
Problem 3 (10 points) For a blackbody at 2250 K that is in air, find: (b) the hemispherical total emissive power (kW Im2). (c) the emissive power in the spectral range between o 2 and 8um. (d) the ra...
Problem 3 (10 points) For a blackbody at 2250 K that is in air, find: (b) the hemispherical total emissive power (kW Im2). (c) the emissive power in the spectral range between o 2 and 8um. (d) the ratio of spectral intensity at no-2 μm to that at no-8 μm.
Problem 3 (10 points) For a blackbody at 2250 K that is in air, find: (b) the hemispherical total emissive power (kW Im2). (c) the emissive power in the spectral...
Construct plots that show the wavelength-dependent energy spectrum of a blackbody at a temperature of 5800...
Construct plots that show the wavelength-dependent energy spectrum of a blackbody at a temperature of 5800 K (approx. temperature of the Sun) using both the Planck distribution and the Raleigh-Jeans distribution. Confirm agreement between the two at long wavelength. a. What is the maximum emission wavelength at this temperature? b. What is the total power output (W/m^2) ? c. Using the Planck distribution, estimate what fraction of the Sun's total power output is emitted in visible wavelengths (400-750 nm)
Calculate λmax for blackbody radiation for the following. (a) liquid helium (3.8 K) (b) room temperature...
Calculate λmax for blackbody radiation for the following. (a) liquid helium (3.8 K) (b) room temperature (293 K) (c) a steel furnace (1200 K) (d) a blue star (9200 K)
A small object with an opaque, diffuse surface at a temperature of 500 K is suspended...
A small object with an opaque, diffuse surface at a temperature
of 500 K is suspended in a large furnace with walls at 2000 K.
Assume that the walls of the furnace provide a diffuse irradiation
to the object at a blackbody temperature equal to the furnace wall
temperature. The object’s surface has a spectral hemispherical
emissivity and absorptivity as given below. (a) Determine the total
emissivity and total absorptivity of the object’s surface. Partial
Ans: ?=0.021 (b) Evaluate the...
(a) Schematically draw the spectral emissive power of two blackbodies with the temperature of 2400 K and 300 K (ie. EBA versus λ). What are the wavelengths at the maximum spectral emissive power? (5 pts) (b) A thin-walled plate separates the interior of a large furnace from surroundings at 300 K. The plate is fabricated from a ceramic material for which diffuse surface behavior may be assumed and the exterior surface is air-cooled. With the furnace operating at 2400 K...
Problem 3 (10 points) For a blackbody at 2250 K that is in air, find: (b) the hemispherical total emissive power (kW Im2). (c) the emissive power in the spectral range between o 2 and 8um. (d) the ratio of spectral intensity at no-2 μm to that at no-8 μm.
Problem 3 (10 points) For a blackbody at 2250 K that is in air, find: (b) the hemispherical total emissive power (kW Im2). (c) the emissive power in the spectral...
Construct plots that show the wavelength-dependent energy spectrum of a blackbody at a temperature of 5800 K (approx. temperature of the Sun) using both the Planck distribution and the Raleigh-Jeans distribution. Confirm agreement between the two at long wavelength. a. What is the maximum emission wavelength at this temperature? b. What is the total power output (W/m^2) ? c. Using the Planck distribution, estimate what fraction of the Sun's total power output is emitted in visible wavelengths (400-750 nm)
A small object with an opaque, diffuse surface at a temperature
of 500 K is suspended in a large furnace with walls at 2000 K.
Assume that the walls of the furnace provide a diffuse irradiation
to the object at a blackbody temperature equal to the furnace wall
temperature. The object’s surface has a spectral hemispherical
emissivity and absorptivity as given below. (a) Determine the total
emissivity and total absorptivity of the object’s surface. Partial
Ans: ?=0.021 (b) Evaluate the...
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