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The base width of a rectangular channel is 4m and the maximum discharge through the channel is 10 m3/s, calculate the specific energy.
  • a)
    0.7m
  • b)
    1.0m
  • c)
    1.3m
  • d)
    1.6m
Correct answer is option 'C'. Can you explain this answer?
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To calculate the specific energy of a rectangular channel, we can use the specific energy equation:

E = y + (Q^2 / (2gAy^2))

Where:
E = specific energy
y = depth of flow
Q = discharge
g = acceleration due to gravity
A = cross-sectional area of flow

Given:
Base width of the rectangular channel = 4m
Maximum discharge through the channel = 10 m3/s

First, let's calculate the depth of flow (y) using the equation:

Q = A * V
10 = 4 * V

V = 2.5 m/s

The velocity (V) can also be calculated using the equation:

V = Q / A
2.5 = 10 / A

A = 4 m2

Now, we can calculate the depth of flow (y) using the equation:

A = y * b
4 = y * 4

y = 1 m

Now, we can substitute the values of y, Q, and A into the specific energy equation to calculate the specific energy (E):

E = 1 + (10^2 / (2 * 9.81 * 4 * 1^2))
E = 1 + (100 / 78.48)
E = 1 + 1.27
E ≈ 2.27 m

So, the specific energy of the rectangular channel is approximately 2.27 m.

Since none of the given options match the calculated value, it seems there might be an error in the question or the options provided.
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The base width of a rectangular channel is 4m and the maximum discharge through the channel is 10 m3/s, calculate the specific energy.a)0.7mb)1.0mc)1.3md)1.6mCorrect answer is option 'C'. Can you explain this answer?
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