Given that the solar spectrum corresponds to a temperature of 5800 K and peaks at a wavelength of 500 nm, use law to determine the wavelength corresponding to the peak of the black-body curve in the solar photosphere of t where the temperature is 104 K
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- Neutral hydrogens are detected with their emission lines of 21cm. What is the energy of a photon in such a line, and in which waveband would this line be observed?For a blackbody at given temperature, Amax is the wavelength at the peak of the radiation distribution. What happens to Amax as the temperature increases? (a) It increases. (b) It decreases. (c) It remains constant. (d) It depends on the size of the blackbody.The wavelength of the peak of the blackbody distribution was found to follow Wein’s Displacement Law. Calculate the peak wavelength of a bluish-white star that radiates at temperature 20000 K. a) 145 nm b) 100 nm c) 114 nm d) 155 nm
- Consider an ultrahigh-energy cosmic ray entering the Earth’s atmosphere (some have energies approaching a joule).Construct a problem in which you calculate the energy of the particle based on the number of particles in an observed cosmic ray shower. Among the things to consider are the average mass of the shower particles, the average number per square meter, and the extent (number of square meters covered) of the shower. Express the energy in eV and joules.find the temperature of the coolest star whose peak blackbody wavelength can be observed with the human eye (the exact range of visible light varies from publication to publication, so use 380nm to 750 nm).2 of 7 Question A2 a) Calculate the mass loss rate of the Sun M due to the solar wind flow. Assume average properties of the solar wind of number density 6 protons cm³, and a flow speed of 450 km s-1. Express your answer in units of both kg per year, and solar masses per year. b) Suppose the solar wind flow is perfectly radial. Calculate the expected rate of change of solar rotation frequency dw at the present time, based on conservation of angular momen- tum. Give your answer in units of rad s-1 y-1 (i.e., radians per second per year) and also in terms of fractional change per year, i.e., 1 du. w dt' Use a current solar rotation period of P = 25.38 days to calculate the current angular frequency of rotation w. The moment of inertia of a uniform sphere is MR². You can assume that the radius of the Sun is approximately constant, and the change in its moment of inertia due to the solar wind is only due to the mass loss. Page 3 c) By observing the rotation period of stars similar to the…