The deviation produced by the prism depends on the refractive index, the angle of the prism, and the angle of incidence. The total deviation \( \delta \) can be calculated using the following relation:
\[ \delta = (\theta_1 + \theta_2) - \text{Prism angle} \]
Where:
Since the refractive index is \( \sqrt{2} \) and the light is passing through a right-angled prism, the angle of deviation can be computed by:
\[ \delta = 60^\circ \]
Thus, the angle of deviation produced by the prism is: \( \delta = 60^\circ \)
Figure shows the graph of angle of deviation \( \delta \) versus angle of incidence \( i \) for a light ray striking a prism. The prism angle is


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 \(P,O,Q\).