Concept: Transition metals form metallic crystal lattices (FCC, BCC, or HCP) made of closely packed metal atoms. These lattices naturally contain small empty spaces known as interstitial sites.
Step 1: Understand interstitial sites. When metal atoms arrange in a crystal lattice, small voids are left between them. These voids are called interstitial spaces.
Step 2: Incorporation of small atoms. Small non-metal atoms such as: \[ \text{H, C, N, B} \] can easily occupy these interstitial sites without significantly disturbing the metal lattice.
Step 3: Formation of interstitial compounds. This leads to the formation of interstitial compounds such as: \[ TiC,\ Mn_4N,\ Fe_3H \] These compounds are often non-stoichiometric and retain metallic characteristics.
Step 4: Final conclusion. Transition metals form interstitial compounds because their crystal lattices contain empty interstitial spaces where small atoms can be accommodated.
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 \(P,O,Q\).