The energy of a system is given as \(\mathrm{E}(\mathrm{t})={\alpha }^{3}{e}^{-\beta t}\), where \(t\) is the time and \…

The energy of a system is given as \(\mathrm{E}(\mathrm{t})={\alpha }^{3}{e}^{-\beta t}\), where \(t\) is the time and \(\beta =0.3{\mathrm{s}}^{-1}\). The errors in the measurement of \(\alpha\) and \(t\) are\(1.2%\) and \(1.6%\), respectively. At \(t=5\mathrm{s}\), maximum percentage error in the energy is :

[JEE Main 2025, 23 Jan (Shift 2)]