We study Active Galactic Nucleus ( AGN ) activity in the fossil galaxy cluster , RX J1416.4+2315 .
Radio observations were carried out using Giant Metrewave Radio Telescope ( GMRT ) at two frequencies , 1420 MHz and 610 MHz .
A weak radio lobe that extends from the central nucleus is detected in 610 MHz map .
Assuming the radio lobe originated from the central AGN , we show the energy injection into the Inter Galactic Medium ( IGM ) is only sufficient to heat up the central 50 kpc within the cluster core , while the cooling radius is larger ( \sim 130 kpc ) .
In the hardness ratio map , three low energy cavities have been identified .
No radio emission is detected for these regions .
We evaluated the power required to inflate the cavities and showed that the total energy budget is sufficient to offset the radiative cooling .
We showed that the initial conditions would change the results remarkably .
Furthermore , efficiency of Bondi accretion to power the AGN has been estimated .