The universe is filled with a radiation, called the Cosmic Microwave Background (CMB) discovered by Penzias and Wilson in 1964, for v they received the Nobel Prize in Physics in 1978. The CMB matches the Planck blackbody spectrum perfectly with T = 2.73 Kelvins. Part a) Find Amax for the CMB radiation in millimetres. b) Using Planck's formula for the blackbody spectrum, find the energy density, in units of eV/m³, stored in CMB radiation for wavelengths between 1.15 mm and 1.16 mm. (You can assume these two wavelengths are sufficiently close that << X).

The universe is filled with a radiation, called the Cosmic Microwave Background (CMB) discovered by Penzias and Wilson in 1964, for v they received the Nobel Prize in Physics in 1978. The CMB matches the Planck blackbody spectrum perfectly with T = 2.73 Kelvins. Part a) Find Amax for the CMB radiation in millimetres. b) Using Planck's formula for the blackbody spectrum, find the energy density, in units of eV/m³, stored in CMB radiation for wavelengths between 1.15 mm and 1.16 mm. (You can assume these two wavelengths are sufficiently close that << X).