The half-life of \({}^{198}\mathrm{Au}\) is 3 days. If atomic weight of \({}^{198}\mathrm{Au}\) is \(198\mathrm{g}/\math…

The half-life of \({}^{198}\mathrm{Au}\) is 3 days. If atomic weight of \({}^{198}\mathrm{Au}\) is \(198\mathrm{g}/\mathrm{mol}\) then the activity of \(2\mathrm{mg}\) of \({}^{198}\mathrm{Au}\) is [in disintegration/second]:

[JEE Main 2021, 25 Jul (Shift 1)]