For flow through an orifice from a reservoir, the actual velocity at the vena contracta is given by

The actual velocity at vena-contracta for flow through an orifice from a reservoir is given by

A

$${{\text{C}}_{\text{v}}} \cdot \sqrt {2{\text{gH}}} $$

B

$${{\text{C}}_{\text{c}}} \cdot \sqrt {2{\text{gH}}} $$

C

$${{\text{C}}_{\text{d}}} \cdot \sqrt {2{\text{gH}}} $$

D

$${{\text{C}}_{\text{v}}} \cdot {{\text{V}}_{\text{a}}}$$

The actual velocity at vena contracta for flow through an orifice from a reservoir of height H

A

$\sqrt {2gH} $

B

${C_v}\sqrt {2gH} $

C

$\sqrt {\frac{{2gH}}{{{C_v}}}} $

D

${C_d}\sqrt {2gH} $

The theoretical velocity of jet at vena contracta is (where H = Head of water at vena contracta)

A

$$2{\text{gH}}$$

B

$${\text{H}}\sqrt {2{\text{g}}} $$

C

$$2{\text{g}}\sqrt {\text{H}} $$

D

$$\sqrt {2{\text{gH}}} $$

In an internal mouthpiece, the absolute pressure head at vena contracta is __________ the atmospheric pressure head by an amount equal to height of the liquid above the vena contracta.

A

Less than

B

More than

C

Equal to

D

None of these

In an external mouthpiece, the absolute pressure head at vena contracta is __________ the atmospheric pressure head by an amount equal to 0.89 times the height of the liquid, above the vena contracta.

A

Less than

B

More than

C

Equal to

D

None of these

In a short cylindrical external mouthpiece, the vena contracta occurs at a distance __________ the diameter of the orifice from the outlet of orifice.

A

Equal to

B

One-fourth

C

One-third

D

One-half

For flow through an orifice from a reservoir, the actual velocity at the vena con-tracta is given by

A

√(2gh)

B

C.V. √(2gh)

C

Cd √(2gh)

D

Cc √(2gh)

The discharge through a small rectangular orifice is given by (where Cd = Coefficient of discharge for the orifice, a = Cross-sectional area of the orifice, h = Height of the liquid above the centre of the orifice)

A

Q = Cd × a × 2gh

B

Q = (2/3). Cd × a × h

C

Q = (Cd × a)/√(2gh)

D

Q = (3Cd × a)/√(2h)

The discharge through a wholly drowned orifice is given by (where H₁ = Height of water (on the upstream side) above the top of the orifice, H₂ = Height of water (on the downstream side) above the bottom of the orifice and H = Difference between two water levels on either side of the orifice)

A

$${\text{Q}} = {{\text{C}}_{\text{d}}} \times {\text{b}}{{\text{H}}_1}\sqrt {2{\text{gh}}} $$

B

$${\text{Q}} = {{\text{C}}_{\text{d}}} \times {\text{b}}{{\text{H}}_2}\sqrt {2{\text{gh}}} $$

C

$${\text{Q}} = {{\text{C}}_{\text{d}}} \times {\text{b}}\left( {{{\text{H}}_2} - {{\text{H}}_1}} \right)\sqrt {2{\text{gh}}} $$

D

$${\text{Q}} = {{\text{C}}_{\text{d}}} \times {\text{bH}}\sqrt {2{\text{gh}}} $$

The discharge through a small rectangular orifice is given by (where C_d = Coefficient of discharge for the orifice, a = Cross-sectional area of the orifice, h = Height of the liquid above the centre of the orifice)

A

$${\text{Q}} = {{\text{C}}_{\text{d}}} \times {\text{a}} \times \sqrt {2{\text{gh}}} $$

B

$${\text{Q}} = \frac{2}{3}{{\text{C}}_{\text{d}}} \times {\text{a}} \times {\text{h}}$$

C

$${\text{Q}} = \frac{{{{\text{C}}_{\text{d}}} \times {\text{a}}}}{{\sqrt {2{\text{gh}}} }}$$

D

$${\text{Q}} = \frac{{3{{\text{C}}_{\text{d}}} \times {\text{a}}}}{{\sqrt {2{\text{h}}} }}$$

For flow through an orifice from a reservoir, the actual velocity at the vena contracta is given by

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