Consider the following conditions for the pipe network shown in the given figure (Notations have the usual meaning with suffixes 1, 2 and 3 referring to respective pipes):

Which of these conditions must be satisfied by this pipe network?

1 and 3

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2 and 3

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1 and 4

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2 and 4

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Solution

The correct option is B 2 and 3
As per the continuity equation at the junction,

$Q_{1} + Q_{3} = Q_{2}$

$S i n c e c o n n e c t b e t w e e n p i p e 1 a n d p i p e 3 i s parallel, h_{f 1} = h_{f 3}$

Since diameter is not given no relation can be established between discharges.

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