A certain object is kept at a constant temperature of 1200° K. (a) At what temperature will the intensity of the radiation in the cavity have its maximum value? (b) Assuming the object behaves as a perfect blackbody and has a surface area of 100 cm?, how much total energy does the object radiate per second?
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- Assume that your body (with temperature of 310 K) can be approximated as a blackbody. What is the typical wavelength of the radiation from your body? Is this radiation visible, infrared, X-ray, or radio?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?How much energy (in eV) does a photon of red light (1 = 700 nm) have? (h=6.63 1034 Jxs, c=3.00 10³ m/s, 1 eV = 1.60 10-19 J, and 1 nm = 109 m) -9 3.11 eV 2.26 eV 1.78 eV 1.24 eV..!
- In quantum interpretation of the electromagnetic waves in vacuum the photon has the energy E = hw/2n and the momentump= hk/2n. So the ratio E of the energy to the momentum is = c, the speed of light in k vacuum. Similar relation can be obtained in classical electrodynamics as follows. Consider the time-averaged energy density of the electromagnetic field ɛ = B² /2µ0 + €0 E² /2 for a plane wave propagating in vacuum along the z-direction. Calculate the time-averaged energy flux (Poynting flux) for such a wave S = E × H and confirm that its ratio to the time-averaged energy density ratio is equal to the speed of light in vacuum, S/e = c.For a body emitting blackbody radiation, the total power emitted is proportional to the 4th power of the body’s absolute temperature:(T in kelvins)and the wavelength of the emitted EM radiation that has the highest intensity is inversely proportional to the body’s absolute temperature according to:( in meters, T in kelvins)Assume an object is emitting blackbody radiation. A body in a room at 300 K is heated to 3,000 K. The wavelength of the most intense EM radiation emitted by the body at 3,000 K is the wavelength of the most intense EM radiation at 300 K.When you shine a certain source of EM radiation on a sheet of gold (work function W1 = 5.1 eV), the stopping voltage required to bring all the ejected electrons to a halt is V = 3.5 V. If you were to use this same source of EM radiation on a sheet of potassium (work function W2 = 2.3 eV), what would be the maximum speed of ejected electrons?
- The Earth has an average surface temperature of 288K and the Sun has an average surface temperature of 5800K. Assume them to be black bodies. If the only radiation that either black body emitted was at it's peak wavelength how many more photons would Earth need to radiation than receive in order for the climate to be stable.A rectangular metal plate measures 0.24 m long and 0.7 m wide. The plate is heated to a temperature of 1,533 K by passing a current through it. Assuming that it behaves like a blackbody, how much power does the plate radiate under these conditions?Two very large parallel plates are maintained at uniform temperatures T1 =800 K and T2 = 500 K and have emissivities «1 = 0.2 and «2 = 0.7,respectively. Determine the net rate of radiationheat transfer between the two surfaces per unit surface area of the plates.