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.
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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.
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- Outline the steps leading to the formula for the number of photons with angular fre- quencies between w and w + dw in blackbody radiation at a temperature T: w? dw V n(w)dw = 2 x 272c3 ehw/kBT Show that n(w) has a peak at a frequency given by w = 1.59kgT/h. Show further that the spectral energy densities ux and uw peak at Amax = hc/(4.97KBT) and wmax = 2.82KBT/ħ, respectively.The sun can be treated as a blackbody at 5780 K. Using EES (or other) software, calculate and plot the spectral blackbody emissive power Ebl of the sun versus wavelength in the range of 0.01 µm to 1000 µm. Discuss the results.Suppose you measure spectrum of a 40W incandescent light bulb which peaks at a wavelength of 576 nm. Using Wein's displacement law, (eq 1 given above) find the temperature of the source. Using the temperature you found in 1, find the surface area of the 40 W light bulb (use equation 2 assuming ɛ =1 and make a reasonable assumption on temperatures for this calculation. Also, use o = 5.67 x 108 W/m²K*). Determine the energies of the following transitions in the hydrogen atom: n = 5 to n= 2, n= 4 to n= 2, n= 3 to n=2 (Hint: Find the change in energy using equation (4)) Find the wavelength (in nm) of each transition you found in question no.3 (Hint: use formula for energy of photon E = hc/h)
- Consider a material that is well approximated by a black body. The max. emitted irradiance is found at a wavelength of 445 nm. What is the temperature of the black body. Provide your answer in Kelvin.A square metal plate with a side 0.4m is heated to a temperature of 2000k by passing a current through it. Assuming that it behaves like a blackbody, how much power does the plate radiate under these conditions?Assume the intensity of solar radiation incident on the cloud tops of the Earth is 1 677 W/m². (a) Taking the average Earth-Sun separation to be 1.496 x 10¹1 m, calculate the total power radiated by the Sun. 4.905E26 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. W (b) Determine the maximum value of the electric field in the sunlight at the Earth's location. kv/m (c) Determine the maximum value of the magnetic field in the sunlight at the Earth's location. μT
- What temperature, in °C, is a blackbody whose emission spectrum peaks at 320 nm ? T= Submit Request Answer Part B VE ΑΣΦ T= Submit What temperature, in °C, is a blackbody whose emission spectrum peaks at 4.60 m? VE ΑΣΦ P By Request Answer ? Stag °C ? °CThe figure below depicts spectral reflectance measurements for three different materials: a green leaf from a healthy plant, a sheet of shiny blue paper, and the palm of a human hand. The measurements are labeled 1 (black line), 2 (red line), and 3 (blue line). Match the measurements to the most appropriate material typeFor 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.
- In 1893, physicist Wilhelm Wien showed that the wavelength of maximum thermal emission strength of electromagnetic radiation from a blackbody at temperature T obeys: Amax T 2.898 mm.K. = This result, known today as Wien's Law, is very useful for, among other things, esti- mating the temperature of distant objects based on the color of light they emit. (a) Planck's spectral energy density function is usually written as an energy per range df of frequencies. Quite often, however, it is more convenient to express it as anWhat is the total emittance of a cesium lamp at 2473.15 K with a lambda max of 1171.38 nm at this temperature.2. Suppose the downward irradiance at the top of a layer of an absorbing gas is 600 Wm2, the upward reflected radiation is 150 Wm-2, and the radiation emerging at the bottom of the layer is 200 Wm-² (a) What is the reflectance of the layer? (b) What is the transmittance of the layer? (c) How much radiation is absorbed in the layer (Wm-²)? (d) What is the absorptance of the layer?