Correct option is (a) TA= TB
The explanation is: When the solid angle obtained by the noise source ΩB is greater than antenna solid angle ΩA, then relation between noise temperature introduced by beam TB and the antenna temperatureTA is given by
TA= TB (If Lossless antenna).
For radio astronomy, ΩB<ΩA and TA≠ TB; ΔTA=\(\frac{\Omega_B}{\Omega_A}T_B\)