Two small circular orifice of diameters d1 and d2, respectively, are placed on the side of a tank at depths of 25 cm and 1 m below a consistently maintained surface of water. If the discharges through the orifices are the same, what is the ratio of the diameter d1 to d2

This question was previously asked in
UKPSC JE Civil 2013 Official Paper II
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  1. 1/2
  2. 1/√2
  3. 2
  4. √2

Answer (Detailed Solution Below)

Option 4 : √2
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UKPSC JE CE Full Test 1 (Paper I)
180 Qs. 360 Marks 180 Mins

Detailed Solution

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Concept:

Discharge through a circular orifice is given by;

Where, a = Area of orifice

h = Head above the surface

Calculation:

Given,

Discharge through the orifices are same

h1 = 25 cm, h2 = 1 m = 100 cm

∵ we know that, 

and, Q1 = Q2

⇒ 

⇒ 

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