since E=Pt where t is the time for emmisivity of radiant energy.so
E = sigma A absillion T^4 t
where sigma is stefan;s constant
A is the area for radiation
absillion is emissivity
this implies E1/E2 = sigma 4 pie 4^2 (2000)^4 t /sigma 4 pie 1^2 (4000)^4 t
E1/E2= 16x 1/16 = 1