What is the temperature at which a black body radiates heat at the rate of 1 kilowatt per unit area ? (Given stefan's constant=σ=5.7 x 10-8 S.I units)
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What is the temperature at which a black body radiates heat at the rate of 1 kilowatt per unit area ? (Given stefan's constant=σ=5.7 x 10-8 S.I units)

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- The radiation energy (intensity of the radiation) reaching Earth from the sun at the top of the atmosphere is 1.36×103??2⁄, which is called the solar constant. Assuming that Earth absorb the total power coming from the Sun to the Earth and radiates with the emissivity of 0.8 (not ideal black body) at a uniform temperaturearound the Earth, what would the equilibrium temperature of Earth be?A physicist at a fireworks display times the lag between seeing an explosion and hearing its sound, and finds it to be 0.600 s. (Enter your answers to at least four decimal places. Use the following relationship between Kelvin and Celsius: T(K) = T(°C) + 273.15.) (a) How far away (in m) is the explosion if air temperature is 15.0°C and if you neglect the time taken for light to reach the physicist? m (b) Calculate the distance to the explosion (in m) taking the speed of light into account. Note that this distance is negligibly greater. mdT Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is, = K[M(t) - T(t)), where dt Kis a constant. Let K= 0.04 (min)' and the temperature of the medium be constant, M(t) = 290 kelvins. If the body is initially at 352 kelvins, use Euler's method with h =0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes. (a) The temperature of the body after 30 minutes is 308.62 kelvins. (Round to two decimal places as needed.) (b) The temperature of the body after 60 minutes is kelvins. (Round to two decimal places as needed.)
- (e) The Sun has a surface temperature of 5770 K, a radius of 6.96 × 10° km, an average distance from Earth of 1.496 x ix 10* km, and radiates e/m radiation into space isotropically. Earth is a sphere with a radius of 6378 km, and on average absorbs 30 percent of the sunlight that shines on it, with the rest reflected back into space. Both the Sun and Earth are opaque to e/m radiation of all wavelengths, so intensity I = oT“, where o is the Stefan-Boltzmann constant and T is Kelvin temperature. Calculate the temperature (in Kelvins) of Earth.a) What is the magnitude of energy (in MJ) that must be removed to freeze 377 L of water with a density of 999.8 Kg/m3 that is already at 0˚C [round your final answer to one decimal place]? {latent heats of water: Lf = 33.5 × 104 J/kg, and Lv = 22.6 × 105 J/kg} b) The magnitude of energy that must be added to melt the same mass of ice (already at 0˚C) would be greater than the amount of energy that had to be removed in order to freeze it. TRUE OR FALSE {latent heats of water: Lf = 33.5 × 104 J/kg, and Lv = 22.6 × 105 J/kg}Problem-1: An asteroid is hurtling toward earth at 150,000“. The temperature of the asteroid is about 100 K, meaning that its peak emission is 2 = 29 µm. The speed of light is c = 3E[8]. a) What is the wavelength of light that we receive from the asteroid? (Answer: 2.89855E[-05] m)
- You have a 5.3 inch diameter sphere heated to 335.0°F, which is inside of a large room with a surrounding temperature of Tsurr = 71.0°F. Treating the sphere as a blackbody, calculate the net heat transfer rate due to radiation between the sphere and its surrounds, in units of BTU/hr. The Stephan-Boltzmann Constant in English units is: σ = 1.714*10-9 BTU/(hr-ft2-°R4).e) Given the following data collected about the velocity of the red light (650 nm) and green light (510 nm) on air. VredT-o'c) = Vgreenr-o°c) = Vred(r-1'c)=Vgreenr=11°C)| Vred-45°c) = Vgreen (-45'°C) (T=0 (T=11°C) What are your conclusions comparing the effect of the temperature and frequency on sound and light velocities? Justify your answer based on the data presented and the physics of sound and light.The Earth reradiates the energy it receives from the Sun as a black body. We can calculate the effective temperature of the Earth using the Stefan-Boltzmann equation F = sT4 where we solve for the Temperature T. We use for the energy flux the amount of energy absorbed per second Le divided by the Earth's surface area from which the energy is radiated 4pd2 so that the flux is = Le/(4pd2). Here d is the radius of the Earth given above and s is the Stefan-Boltzmann constant. And the effective temperature is:Te4 = (Le/(4pd2))/s = Le/(4spd2) = __________________ K4and taking the square root of Te4 twice in succession we get the effective Temperature Te:Te = [Le/(4spd2)]0.25 = _________________ Kfor the temperature of the effective Earth. What is the temperature in the Celsius scale? __________ C. (Do I need to tell you how to convert from Kelvin to Celsius? If you don't know look it up in your textbook!!)