$2.)$ The discharge coefficient $(C_d)$ for an orifice meter is calculated using the following equation:

$C_d=0\mathrm{.}5959+0\mathrm{.}0312{}^{2\mathrm{.}1}-0\mathrm{.}184{}^8+\frac{91\mathrm{.}71{}^{2\mathrm{.}5}}{R{e}^{0\mathrm{.}75}}$

Calculate the beta ratio $()$ for the values of $C_d=0\mathrm{.}61112$ and $Re=36,000.$ Hint: The value of $$ lies between $0\mathrm{.}25$ and $0\mathrm{.}75.$ Round$-$off the $$ value to the second decimal place. All the parameters in the above equation are dimensionless.

$($ Done on Excel$)$