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

 

Answers (1)

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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