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Two reservoirs are connected by two pipes laid in parallel. If the diameters and lengths of
these two pipes remain the same and friction factor for the first pipe is four times of the second pipe, the ratio of the discharges in the first pipe to the second pipe will be
A 2 (B) 0.25 C 0.5 (D) none of above?
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Two reservoirs are connected by two pipes laid in parallel. If the dia...
**Solution:**

To find the ratio of the discharges in the first pipe to the second pipe, we can use the Darcy-Weisbach equation, which relates the discharge rate in a pipe to the pipe diameter, length, friction factor, and other parameters. The equation is as follows:

Q = (π/4) * D^2 * (ΔP / (ρ * L * f))^0.5

Where,
Q = Discharge rate
D = Diameter of the pipe
ΔP = Pressure difference between the reservoirs
ρ = Density of the fluid
L = Length of the pipe
f = Friction factor

Since the diameters and lengths of the two pipes remain the same, we can cancel out those terms from the equation. Therefore, the equation can be simplified as:

Q1 / Q2 = (f2 / f1)^0.5

Where,
Q1 = Discharge rate in the first pipe
Q2 = Discharge rate in the second pipe
f1 = Friction factor for the first pipe
f2 = Friction factor for the second pipe

Given that the friction factor for the first pipe is four times that of the second pipe, we can substitute these values into the equation:

Q1 / Q2 = (f2 / 4f2)^0.5

Simplifying further:

Q1 / Q2 = (1/4)^0.5

Taking the square root of 1/4:

Q1 / Q2 = 0.5

Therefore, the ratio of the discharges in the first pipe to the second pipe is 0.5, which corresponds to option C.

So, the correct answer is option C: 0.5.
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Two reservoirs are connected by two pipes laid in parallel. If the diameters and lengths of these two pipes remain the same and friction factor for the first pipe is four times of the second pipe, the ratio of the discharges in the first pipe to the second pipe will be A 2 (B) 0.25 C 0.5 (D) none of above?
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Two reservoirs are connected by two pipes laid in parallel. If the diameters and lengths of these two pipes remain the same and friction factor for the first pipe is four times of the second pipe, the ratio of the discharges in the first pipe to the second pipe will be A 2 (B) 0.25 C 0.5 (D) none of above? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Two reservoirs are connected by two pipes laid in parallel. If the diameters and lengths of these two pipes remain the same and friction factor for the first pipe is four times of the second pipe, the ratio of the discharges in the first pipe to the second pipe will be A 2 (B) 0.25 C 0.5 (D) none of above? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two reservoirs are connected by two pipes laid in parallel. If the diameters and lengths of these two pipes remain the same and friction factor for the first pipe is four times of the second pipe, the ratio of the discharges in the first pipe to the second pipe will be A 2 (B) 0.25 C 0.5 (D) none of above?.
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