SSC JE Mechanical Engineering 2018 Set 5 Paper

The sensitiveness of the governor is defined as the ratio of the difference between the maximum and minimum equilibrium speed to the mean equilibrium speed.
Let, N${}_1$ = Minimum equilibrium speed,
N${}_2$ = Maximum equilibrium speed, and
N = Mean equilibrium speed = $\frac{\left({\mathit{N}}_1+{\mathit{N}}_2\right)}{2}$
Therefore,
Sensitiveness of the governor = $\frac{\left({\mathit{N}}_1-{\mathit{N}}_2\right)}{2}$
= $\frac{2\left({\mathit{N}}_2-{\mathit{N}}_1\right)}{\left({\mathit{N}}_1+{\mathit{N}}_2\right)}=\frac{2\left({\mathit{\omega }}_2-{\mathit{\omega }}_1\right)}{\left({\mathit{\omega }}_1+{\mathit{\omega }}_2\right)}$