[amp_mcq option1=”the head loss is same through each pipe” option2=”the discharge is same through each pipe” option3=”a trial solution is not necessary” option4=”the discharge through each pipe is added to obtain total discharge” correct=”option1″]
The correct answer is: A. the head loss is same through each pipe.
In a series-pipe system, the total head loss is equal to the sum of the head losses in each pipe. The head loss in a pipe is proportional to the square of the flow rate, so if the flow rate is the same through each pipe, the head loss will also be the same.
Option B is incorrect because the discharge is not necessarily the same through each pipe. The discharge in a pipe is proportional to the pressure difference across the pipe, so if the pressure difference is different across each pipe, the discharge will also be different.
Option C is incorrect because a trial solution is often necessary to solve series-pipe problems. This is because the head loss in a pipe is not always known, and it must be calculated in order to determine the flow rate.
Option D is incorrect because the discharge through each pipe is not added to obtain total discharge. The total discharge is equal to the sum of the flow rates in each pipe.