What is the rate of thermal radiation emitted from a star with a radius of 4.11 x 109 m and a surface temperature of 3,222 K? Assume that the spherical surface behaves as a blackbody radiator.
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[Surface Area of a sphere = 4πr2; Area of a circle = πr2 or (π/4)d2]
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- Calculate the power radiated by a black body of surface area 20. 0 cm2 and temperature 6000 KConsider a black body of surface area 20.0 cm² and temperature 5 000 K. A what wavelength does it radiate most intensely?A cloud of gas has a temperature of 5,000 K. Estimate the width of the hydrogen H-alpha line with an intrinsic wavelength λ = 656 nm. (Note: the typical velocity of hydrogen atoms in a gas with temperature T is about (kT/mH)1/2, where k is Boltzmann constant and mH is the mass of a hydrogen atom, which is approximately the mass of a proton).
- A rectangular object has length l=30.3±0.6, width w=17.9±0.2. What is the absolute uncertainties in length?What is the rate of thermal radiation emitted from a star with a radius of 2.310x 109mand a surface temperatureof8,420K?Assume that the spherical surface behaves as a blackbody radiator.[Surface Area of a sphere = 4πr2; Area of a circle = πr2or (π/4)d2]The sun has a radius of 6.959 × 108 m and a surface temperature of 5.81 x 10° K. When the sun radiates at a rate of 3.91 x 1026 W and is a perfect emitter. What is the rate of energy emitted per square meter? Stefan-Boltzmann constant is 5.67 x 10-8 J/s-m2 K4 a) 5.6 x 107 W/m2 b) 12.8 x 107 W/m2 c) 6.4 x 107 W/m2 25.6 x 107 W/m2 5.6 x 1017 W/m2
- What will be the energy associated with a blue photon (in Joules), if the frequency of the blue light is 650 THz (Terahertz (THz); 1 Tera – 1012y? [Hint: Use Planck's cquation: E = hf to calculate the photon energy! h - Planck's constant – 6,63 × 10-4 Js – 4.14 ×1015 eVs] A. 650×1012 J B. 6.5×10° J C. 4.3x1015 J D. 4.3×10-19 J E. 4.3x1019 J17.2 (a) Use the fact that fo [2³/(e² − 1)] dz = π¹/15 to show that the total radiant energy emitted per second by unit area of a blackbody is 27³KT4/15c²h³. Note that this quantity is propor- tional to T4 (Stefan's law). (b) The sun's diameter is 1.4 × 10⁹ m and its effective surface temperature is 5800 K. Assume the sun is a blackbody and estimate the rate of energy loss by radiation from the sun. (c) Use E mc² to calculate the relativistic mass of the photons lost by radiation from the sun in 1 year. =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.
- Calculate the amount of radiation emitted for a unit surface (2 m2) for black ball at 53°C and £≈0.96 Express your answer SI units (in W).(a) Does a sound level of 0 dB mean that there is no sound? (b) Is there any physical meaning to a sound having a negative intensity level? If so, what is it? (c) Does a sound intensity of zero mean that there is no sound? (d) Is there any physical meaning to a sound having a negative intensity? Why?P X %23 in a 20 poster wal Sp Sp famu.instructure.com/courses/9823/assignments/177283 M Update : THERMAL RADIATION 2 FLORIDA MECHANICAL AGRICULTURA HEAD HEART HAND Problem 4. Planetary Temperatures: Radiation of Heat to Space (Palen, et. al. 1st Ed. Chapter 6 Problem 63 ) FIELD Working It Out 6.2 The Stefan-Boltzmann Law Account Look at Figure 6.17, which shows the spectra of a light source at several different temperatures. This source is assumed to emit electromagnetic radiation only because of its temperature, not its composition. This kind of source is called a blackbody, and if we graph the intensity of its emitted radiation across all wave- lengths (as in Figure 6.17), we obtain a characteristic curve called a blackbody spectrum. As the object's temperature increases, it emits more radiation at every wavelength, so each increase in temperature raises the curve. The luminosity of the object (the total amount of light emitted) increases. In fact, it increases quite fast as the…