An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is $1 m / s$

3.0 m/s

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1.5 m/s

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Solution

The correct option is A
3.0 m/s

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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