1. a) Derive an equation for the flux of solar radiation as a function of distance from the sun. Calculate the flux of solar radiation at a distance from the sun corresponding to the orbit of the Earth. (5 marks) b) Calculate the rate at which solar radiation is absorbed by the Earth per unit surface area of the entire planet (in units of W/m2). (5 marks) c) Determine the flux of infrared radiation leaving the top of the Earth's atmosphere. Write out the equation relating this to the Effective Radiating Temperature, Te, and calculate the value. (5 marks) d) If the sun were somewhat bluer in colour, so that it's wavelength of maximum emission was 0.4 m instead of 0.5 m, calculate the effective radiating temperature of the Earth under these conditions