Correct Answer - Option 4 :
\(\frac{{2 + {C_1}}}{{2 - {C_1}}}\)
The coefficient of fluctuation of speed is given by,
\(\begin{array}{l}
{C_1} = \frac{{\left( {{\omega _{max}} - {\omega _{min}}} \right)}}{{\left[ {\frac{{{\omega _{max}} + {\omega _{min}}}}{2}} \right]}}\\
\Rightarrow {C_1}{\omega _{max}} + {C_1}.{\omega _{min}} = 2{\omega _{max}} - 2{\omega _{min}}\\
\therefore \frac{{{\omega _{max}}}}{{{\omega _{min}}}} = \frac{{2 + {C_1}}}{{2 - {C_1}}}
\end{array}\)
