The maximum intensity of radiation emitted by a star occurs at a surface temperature of 4.3 x 10¹ K. a) Calculate the wavelength of the emitted radiation when the intensity is maximum. b) Calculate the ratio of the intensity radiated at a wavelength of 60.0 nm to the maximum intensity. Assume that the star radiates like an ideal blackbody.
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- Calculate the power radiated by a black body of surface area 20. 0 cm2 and temperature 6000 KThe power emitted by a blackbody is proportional to T^4. If the temperature of the blackbody goes from 3000K to 6000K, by how much (by what factor, 2, 3, 8, etc) does the power increase?An incandescent lightbulb contains a tung-sten filament that reaches a temperature of about 3020 K, roughly half the surface temperature of the Sun. (a) Treating the filament as a blackbody, determine the frequency for which its radiation is a maximum. (b) Do you expect the lightbulb to radiate more energy in the visible or in the infrared part of the spectrum? Explain.
- The filament of a light bulb has a surface area 64 mm2. The filament can be considered as a black body at temperature 2500 K emitting radiation like a point source when viewed from far. At night the light bulb is observed from a distance of 100 m. Assume the pupil of the eyes of the observer to be circular with radius 3 mm. Then (Take Stefan-Boltzmann constant = 5.67 × 10−8 Wm−2K−4, Wien’s displacement constant = 2.90 × 10−3m-K, Planck’s constant = 6.63 × 10−34Js, speed of light in vacuum = 3.00 ×108 ms−1) a) power radiated by the filament is in the range 642 W to 645 W b) radiated power entering into one eye of the observer is in the range 3.15 × 10−8 W to 3.25 × 10−8 W c) the wavelength corresponding to the maximum intensity of light is 1160 nm d) taking the average wavelength of emitted radiation to be 1740 nm, the total number of photons entering per second into one eye of the observer is in the range 2.75 × 1011 to 2.85 × 1011The walls of a blackbody cavity are at a temperature of 30oC. What is the wavelength of the radiation of maximum intensity?The unit surface of a black body at 37 °C radiates a number of electromagnetic waves with a certain wavelength. If the Wien constant is 2.898 x 10^-3 m.k, then the wavelength at which the blackbody radiation density per unit length has a maximum value is
- Fused quartz transmits 90 percent of the incident thermal radiation between 0.2 and 4 µm. Suppose a certain heat source is viewed through a quartz window. What heat flux in watts will be transmitted through the material from blackbody radiation sources at (a) 800◦C, (b) 550◦C, (c) 250◦C, and (d ) 70◦C?A cavity radiator has its maximum spectral radiance at a wavelength of 2,5×10-7 m. If the body is heated so that T/T0 = 5,5, what will be the ratio of radiant powers W/W0? Wien's constant b = 2.897 ×10-3 m·K.Solve correctly in 30 minutes
- The human eye is most sensitive to 560-nm light. What is the temperature of a black body that would radiate most intensely at this wavelength?A copper cylinder with a temperature of 307 K is found to emit 124 J of energy each second. If the cylinder radiates like a blackbody, what is its surface area?When stars like the Sun die, they lose their outer layers and expose their very hot cores. These exposed cores are called white dwarf stars. A certain white dwarf star has a peak emission wavelength of 0.546 nm. Approximating the star as a blackbody, what is its surface temperature? Wien's Displacement constant is b = 2.898 x 10-3 K m. The Stefan-Boltzmann constant is ? = 5.670 x 10-8 W/m2K4.