Which of the following is FALSE regarding triangular weir?

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SSC JE CE Previous Year Paper 9 (Held on 30 Oct 2020 Morning)
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  1. The flow through the weir depends on the vertex angle
  2. Coefficient of discharge is fairly constant for all the heads
  3. Triangular weir is more effective under small discharges than a rectangular weir
  4. Ventilation of triangular weir is necessary

Answer (Detailed Solution Below)

Option 4 : Ventilation of triangular weir is necessary
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Answer:

Statement 4: False Ventilation of triangular weir is not necessary.

Weir:

A weir is a concrete or masonary structure, placed in an open channel over which the flow occurs. It is generally in the form of vertical wall, with a sharp edge at the top, running all the way across the open channel. The notch is of small size while the weir is of a bigger size. The notch is generally made of metallic plate while weir is made of concrete or masonary structure.

Triangular weir:

The expression for the discharge over a triangular weir or notch is

Q = \(\frac{8}{{15}} \times {C_d} \times tan\frac{θ }{2} \times \sqrt {2g} \times {H^{\frac{5}{2}}}\)

From this expression flow through the weir depend upon the vertex angle (θ) and coefficient of discharge (Cd) is constant for all the heads, the value of Cd is nearly equal to 0.6.

Rectangular weir:

The expression for the discharge over a rectangular weir or notch is

Q = \(\frac{2}{3} \times {C_d}\; \times L \times \sqrt {2g} \times {H^{\frac{3}{2}}}\)

Advantage of triangular weir over rectangular weir:

A triangular weir is preferred to a rectangular weir due to following reason.

(1) The expression for discharge for a right angled V- notch or weir is very simple.

(2) For measuring low discharge, a triangular weir gives more accurate results than a rectangular weir.

(3) In case of triangular weir, only one reading, (H) is required for the computation of discharge.

(4) Ventilation of triangular weir is not necessary.

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