Water is drawn from a lake, flows through a pump and passes down a long pipe in turbulent flow. A slug of tracer (not an ideal pulse input) enters the intake line at the lake, and is recorded downstream at two locations in the pipe L meters apart. The mean residence time of fluid between recording points is 100 sec, and variance of the two recorded signals is

What would be the spread of an ideal pulse response for a section of this pipe, free from end effects and of length L/5?

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σ = 800 sec² σ2 = 900 sec² IN