Mass Defect: The mass defect of a nucleus is the difference between the total mass of its constituent nucleons (protons and neutrons) and the actual mass of the nucleus. The missing mass is converted into binding energy, which holds the nucleus together.
Binding Energy: The binding energy of a nucleus is the energy required to separate the nucleus into its individual nucleons. It is the energy equivalent of the mass defect.
Fission Process: In the fission process, a heavy nucleus splits into two smaller nuclei along with the release of energy. This occurs because the binding energy per nucleon of the smaller nuclei is greater than that of the original nucleus. The energy released in fission is due to the difference in binding energy per nucleon before and after the fission.
Thus, in fission, the total binding energy of the fragments after splitting is greater than the binding energy of the original nucleus, and this difference is released as energy.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).