Correct Answer - Option 3 : 20
Concept:
The pressure coefficient is the ratio of the pressure force to the inertia force.
It is a dimensionless parameter used in many aerodynamics and hydrodynamic applications.
i.e.\({C_P} = \frac{{{P_1} - {P_2}}}{{\frac{1}{2}σ {V^2}}} = \frac{{{\rm{\Delta }}P}}{{\frac{1}{2}σ {V^2}}}\)
where Cp is the pressure coefficient,
ΔP is pressure difference between at any point to the free stream pressure
σ is density of the fluid
and V is the free stream velocity of the flow.
Calculation:
Given, P1 = 100 kPa, P2 = 101 kPa, ρ = 1 kg/m3 and V = 10 m/s
\({C_P} = \frac{{\left( {101 - 100} \right) \times {{10}^3}}}{{\frac{{1 \times {{10}^2}}}{2}}} = \;20\)