In a Hartnell governor, the mass of each ball is \(2.5 \mathrm{~kg}\). Maximum and minimum speeds of rotation are \(10 \mathrm{rad} / \mathrm{s}\) and \(8 \mathrm{rad} / \mathrm{s}\) respectively. Maximum and minimum radii of rotation are \(20 \mathrm{~cm}\) and \(14 \mathrm{~cm}\) respectively. The lengths of horizontal and vertical arms of bell crank levers are \(10 \mathrm{~cm}\) and \(20 \mathrm{~cm}\) respectively. Neglecting obliquity and gravitational effects, the lift of the sleeve is

(a) \(1.5 \mathrm{~cm}\)

(b) \(3.0 \mathrm{~cm}\)

(c) \(6.0 \mathrm{~cm}\)

(d) \(12.0 \mathrm{~cm}\).