Use Stefan's law to calculate how much energy is emitted per unit area by the photosphere of sun 5800-K.
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- Describe the process as a photon (energy) created in the Sun's core makes its way out into space. Make sure to consider the different layers that the photon must pass through to reach the Sun's surface.Determine which df th following equations can be eigen function equation and qive tk values an sinfx) dx 2 d? sin TTX 2 dx2 a x uP +) -ih 으 ek T 2ikyIf the temperature at the centre of the sun is 15,000,000 K and the temperature of the photosphere is 5,800 K, what is the ratio of the temperature at the centre of the Sun compared to the photosphere? Express your final answer in the fully factorised form x : 1, where x is a number that you should determine to an appropriate number of significant figures and write it using scientific notation.
- 62. Pressure of the Photosphere. The gas pressure of the photosphere changes substantially from its upper levels to its lower levels. Near the top of the photosphere, the temperature is about 4500 K and there are about 1.6 x 1016 gas particles per cubic centimeter. In the middle, the temperature is about 5800 K and there are about 1.0 x 10" gas particles per cubic centimeter. At the bottom of the photosphere, the temperature is about 7000 K and there are about 1.5 × 10" gas particles per cubic centimeter. Use the ideal gas law (Mathematical Insight 14.2) to compare the pressures of each of these layers; explain the reason for the trend that you find. How do these gas pressures compare with Earth's atmospheric pressure at sea level?Use Wien's Law to calculate the peak wavelength of light coming from the Sun. Assume T=5800 K for the surface temperature of the Sun. Wein's displacement law says that the blackbody temperature and peak wavelength multiplied together give a constant of 0.29 cm-K. (K is degrees Kelvin).Fusion only occurs in the solar core. Assuming that 10% of the Sun’s total mass is available to participate in fusion, how long can the Sun continue hydrogen fusion until all available mass is used up? (express your answer in years)
- Assume that the solar wind causes the Sun to lose mass at a rate of 2 x 10’ kg/s. If you assume the wind is emitted a constant rate, estimate the time (in units of Gyr =Gigayears = 10° years) that it will take the entire Sun to evaporate via its solar wind emission. (Of course, the rate won't be constant throughout the lifetime of the Sun---this is just a rough estimate to understand the timescale associated with this process.) [Hint: you need to look up a number and do several unit conversions; this is a *rate* problem. Enter your answer as an integer or decimal, NOT in scientific notation.]If you were located 100 km from a 1 GW nuclear power plant,what would the neutrino flux be at your location? Assume that a1 GW nuclear power plant releases 1021 neutrinos per second andyou present a 1 m2 surface to the neutrino flux.Why does nuclear fusion only take place in the Sun’s core?