Let n be total parameters andj equal to number of primary dimensions, then expected number of \Pi’s (k) equal to_____.

• A) k=n-j
• B) k=j-n
• C) k=n+j
• D) k=2n-j

m L^{-1} t^{-2} is dimension of ____.

• A) force
• B) energy
• C) pressure
• D) momentum

If g=1.63 m/s^2, w_0 = 1.83m/s\ and\ z_0 =2m , then Froude number is equal to ____.

• A) Fr=1.03
• B) Fr=1.01
• C) Fr=1
• D) Fr=1.05

The Euler number (Eu) is equal to _____.

• A) Eu = \frac{\rho V^2}{P_0-P_{\infty}}
• B) Eu = \frac{\rho (P_0-P_{\infty})}{V^2}
• C) Eu = \frac{P_0-P_{\infty}}{ V^2}
• D) Eu = \frac{P_0-P_{\infty}}{\rho V^2}

The Reynolds number (Re) is equal to _____.

• A) Re=\frac{\mu} {\rho VL}
• B) Re=\frac { VL}{\mu}
• C) Re=\frac { VL}{\rho\mu}
• D) Re=\frac {\rho VL}{\mu}

Let \(n\) be total parameters and\(j\) equal to number of primary dimensions, then expected number of \(\Pi\)’s (\(k\)) equal to_____.

• A) \(k=n-j\)
• B) \(k=2n-j\)
• C) \(k=j-n\)
• D) \(k=n+j\)

If \(g=1.63 m/s^2, w_0 = 1.83m/s\ and\ z_0 =2m\) , then Froude number is equal to ____.

• A) \(Fr=1.01\)
• B) \(Fr=1.05\)
• C) \(Fr=1\)
• D) \(Fr=1.03\)

\(m L^2 t^{-2}\) is dimension of ____.

• A) force
• B) energy
• C) linear momentum
• D) moment

The Euler number (\(Eu\)) is equal to _____.

• A) \(Eu = \frac{\rho V^2}{P_0-P_{\infty}}\)
• B) \(Eu = \frac{P_0-P_{\infty}}{ V^2}\)
• C) \(Eu = \frac{\rho (P_0-P_{\infty})}{V^2}\)
• D) \(Eu = \frac{P_0-P_{\infty}}{\rho V^2}\)

\(m L^{-1} t^{-2}\) is dimension of ____.

• A) force
• B) momentum
• C) pressure
• D) energy

The Strouhal number (\(St \)) is equal to _____.

• A) \(St=\frac{fL}{V}\)
• B) \(St=\frac{V}{fL}\)
• C) \(St=\frac{fL}{Vg}\)
• D) \(St=\frac{Vg}{fL}\)

The Froude number (\(Fr\)) is equal to _____.

• A) \(Fr=\frac {\sqrt{gL}}{ V}\)
• B) \(Fr=\frac {{gL}}{ V}\)
• C) \(Fr=\frac { V}{gL}\)
• D) \(Fr=\frac { V}{\sqrt{gL}}\)

\(m L^2 t^{-1}\) is dimension of ____.

• A) moment
• B) force
• C) angular momentum
• D) linear momentum

If \(t=3.01s, w_0=1.83m/s\ and\ z_0=2m\), then dimensionless time (\(t^*\)) is equal to________.

• A) \(t^*=2.79\)
• B) \(t^*=2.75\)
• C) \(t^*=2.7\)
• D) \(t^*=2.71\)

The Reynolds number (\(Re\)) is equal to _____.

• A) \(Re=\frac{\mu} {\rho VL}\)
• B) \(Re=\frac { VL}{\rho\mu}\)
• C) \(Re=\frac { VL}{\mu}\)
• D) \(Re=\frac {\rho VL}{\mu}\)

The Froude number (Fr) is equal to _____.

• A) Fr=\frac { V}{gL}
• B) Fr=\frac {\sqrt{gL}}{ V}
• C) Fr=\frac { V}{\sqrt{gL}}
• D) Fr=\frac {{gL}}{ V}