In the context of nuclear reactions, such as nuclear fission or fusion, the total mass of the nuclei involved can either increase, decrease, or remain unchanged, depending on the type of reaction. Let's discuss each scenario:
In nuclear fusion, two light atomic nuclei (such as hydrogen nuclei) combine to form a heavier nucleus (such as helium). In this process:
In nuclear fission, a heavy nucleus (such as uranium-235 or plutonium-239) splits into two smaller nuclei, releasing energy. In this process:
In the case of radioactive decay, such as alpha, beta, or gamma decay, the mass of the parent nucleus is always slightly greater than the mass of the daughter nucleus or particles (like alpha particles, beta particles, etc.) produced. However, the mass difference is again converted into energy, often released as radiation.
In both nuclear fusion and fission, the total mass of the nuclei involved decreases. The "lost" mass is converted into energy. However, in certain nuclear processes like stable reactions, the mass may remain unchanged. In general, for reactions involving the release of energy (fission, fusion), the total mass decreases, and the difference is manifested as energy. So, the total mass of nuclei typically decreases in nuclear reactions.
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 \(P,O,Q\).