The observed M-R relation for exoplanets in the range of Jovian masses shows that their planetary radii are virtually independent of their masses. Considering the pressures in the interiors of Jovian planets and that their interiors follow the pressure relation P = ĂÂșĂÂ^2 where ĂÂș is a constant ĂąâŹâ (a) show why this result is expected. How does R scale with ĂÂș? (b) Calculate the value of R if ĂÂș = 2.7 x 10^5 m^5 kg^-1 s^-2 and compare with the observed value for Jupiter's radius.