Two pipe systems are said to be equivalent when A. head loss and discharge are same in two systems B. length of pipe and discharge are same in two systems C. friction factor and length are same in two systems D. length and diameter are same in two systems

head loss and discharge are same in two systems
length of pipe and discharge are same in two systems
friction factor and length are same in two systems
length and diameter are same in two systems

The correct answer is: A. head loss and discharge are same in two systems.

Two pipe systems are said to be equivalent when the head loss and discharge are the same in both systems. This means that the water will flow through both systems at the same rate and with the same amount of pressure drop.

The other options are not correct because they do not take into account the head loss. The length of pipe and diameter are important factors in determining the head loss, but they are not the only factors. The friction factor is also important, and it can vary depending on the type of pipe and the flow conditions.

Here is a more detailed explanation of each option:

  • Option A: Head loss and discharge are same in two systems. This is the correct answer because it is the only option that takes into account both the head loss and the discharge. The head loss is the amount of pressure drop that occurs as the water flows through the pipe. The discharge is the rate of flow of the water. If the head loss and discharge are the same in both systems, then the water will flow through both systems at the same rate and with the same amount of pressure drop.
  • Option B: Length of pipe and discharge are same in two systems. This option is not correct because it does not take into account the head loss. The length of pipe is important in determining the head loss, but it is not the only factor. The friction factor is also important, and it can vary depending on the type of pipe and the flow conditions.
  • Option C: Friction factor and length are same in two systems. This option is not correct because it does not take into account the discharge. The friction factor is important in determining the head loss, but it is not the only factor. The discharge is also important, and it can vary depending on the type of pipe and the flow conditions.
  • Option D: Length and diameter are same in two systems. This option is not correct because it does not take into account the friction factor. The length and diameter of the pipe are important in determining the head loss, but they are not the only factors. The friction factor is also important, and it can vary depending on the type of pipe and the flow conditions.
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