Earth's mean temperature can be assumed to be 280K. How will the curve of blackbody radiation look like for this temperature? Find out `lambda_max`, in which part of the electromagnetic spectrum, does this value lie?

Calculate the value of lambda_max for solar radiation assuming that surface temperature of Sun is 5800 K (b = 2.897 xx 10^-3 mK ). In which part of the electromagnetic spectrum, does this value lie?

Assuming that the temperature at the surface of the Sun is 6000 K, find out the size of a virtual star (in terms of the size of Sun) whose surface temperature is 3000 K and the power radiated by the virtual star is 25 times the power radiated by the Sun. Treat both, the Sun and virtual star as a blackbody.