An incompressible liquid flows through a horizontal tube as shown in the followi

Question -

An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is

Options:

A . 3.0 m/s

B . 1.5 m/s

C . 1.0 m/s

D . 2.25 m/s

Answer: Option C
:
C

If the liquid is incompressible then mass of liquid entering through left end, should be equal to mass of liquid coming out from the right end.

$∴ M = m_{1} + m_{2} \Rightarrow A v_{1} = A v_{2} + 1.5 A . v$

$\Rightarrow A \times 3 = A \times 1.5 + 1.5 A . v \Rightarrow v = 1 m / s$

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