Tom's favorite color is 4700 Angstroms. He is also well approximated by a cylinder with height 170 cm and radius 20 cm with a temperature of 310 K who has lived for about 1.4 *10^9 s. 

a) What is the energy and frequency of a photon with wavelength 4700 Angstroms? 

b) What is the intensity of light per unit frequency of Tom at his favorite color? 

c) What is the rate of energy per unit time per unit frequency emitted by Tom at his favorite color? 

d) To within 10%, what number of photons between 4700 and 4701 Angstroms has Tom emitted (via blackbody emission) in his life?