# An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is Option 1) 3.0 m/s Option 2) 1.5 m/s Option 3) 1.0 m/s Option 4) none of these

As discussed in

Equation of Continuity -

The question of continuity is derived from the principle of conservation of mass.

-

$A_{1} V_{1}=A_{2}V_{2}$           $A_{1}=A_{2}=A$

$AV_{1}=AV_{2}+1.5AV$

$A\times 3 = A\times 1.5+1.5 AV$

$\therefore V = 1 \:\: ms^{-1}$

Option 1)

3.0 m/s

This solution is incorrect.

Option 2)

1.5 m/s

This solution is incorrect.

Option 3)

1.0 m/s

This solution is correct.

Option 4)

none of these

This solution is incorrect.

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