The unit used to measure the intensity of sound is the decibel (dB). It is a logarithmic unit used to express the ratio of a physical quantity, such as power or intensity, relative to a specified or implied reference level. The decibel is commonly used in acoustics and audio technology.
- Option (A) "Particles per hundred" is incorrect as sound is not measured in terms of particles.
- Option (C) "Particles per thousand" is also incorrect for sound measurement.
- Option (D) "Nanometer" is incorrect as nanometers are used to measure length, not sound.
Thus, the correct answer is (B) Decibel.
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 \(P,O,Q\).