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Find the discharge through totally drowned orifice of width 3.3 m if the difference of water levels on both side of the orifice be 50 cm. The height of water from to and bottom of the orifice are 2.25 m and 2.67 m respectively. 
  • a)
    2.8 m3/s
  • b)
    2.7 m3/s
  • c)
    2.6 m3/s
  • d)
    2.5 m3/s
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Find the discharge through totally drowned orifice of width 3.3 m if t...
Explanation: Q = Cd * b * (H2 – H1) √2gH
Here, b = 3.3
H2 = 2.67
H1 = 2.25
H = 50
Q = 2.6 m3/s.
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Most Upvoted Answer
Find the discharge through totally drowned orifice of width 3.3 m if t...
Given data:
Width of orifice (b) = 3.3 m
Difference in water levels (h) = 50 cm = 0.5 m
Height of water above the orifice (H1) = 2.25 m
Height of water below the orifice (H2) = 2.67 m

We can use the formula for discharge through an orifice as follows:

Q = Cd * A * (2g)^0.5 * h^0.5

Where,
Q = Discharge through the orifice
Cd = Coefficient of discharge (which depends on the shape and size of the orifice)
A = Area of the orifice (b*h)
g = Acceleration due to gravity (9.81 m/s^2)
h = Difference in water levels

To find the value of Cd, we can use the following empirical formula:

Cd = 0.61 + 0.039*(b/h)^1.5

Substituting the given values, we get:

Cd = 0.61 + 0.039*(3.3/0.5)^1.5 = 0.61 + 0.39 = 1

Now, substituting all the values in the formula for discharge, we get:

Q = 1 * b * h^0.5 * (2g)^0.5
= 1 * 3.3 * 0.5^0.5 * (2*9.81)^0.5
= 2.8 m^3/s

Therefore, the correct option is (a) 2.8 m^3/s.
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Find the discharge through totally drowned orifice of width 3.3 m if the difference of water levels on both side of the orifice be 50 cm. The height of water from to and bottom of the orifice are 2.25 m and 2.67 m respectively.a)2.8 m3/sb)2.7 m3/sc)2.6 m3/sd)2.5 m3/sCorrect answer is option 'A'. Can you explain this answer?
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