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Standard XII

Physics

Surface Energy

The amount of...

Question

The amount of liquid flowing per second in the tubes $(1), (2)$ and $(3)$ are $10 m^{3} / s, 5 m^{3} / s$ and $8 m^{3} / s$ respectively. The velocity of liquid in the tube $(4)$ having cross - section of $0.5 m^{2}$ is

7 m / s

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14 m / s

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3.5 m / s

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12 m / s

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Solution

The correct option is B $14 m / s$
It is clear that unit of $A v$ is $m^{3} s^{- 1}$ , where $A$ is area of cross -section and $v$ is the speed of flow

Applying the equation of continuity at $O$ and assuming the liquid is leaving O in tube $4$ with speed $v$ .
$A_{1} V_{1} + A_{3} V_{3} = A_{2} V_{2} + A_{4} V_{4}$
$10 + 5 = 8 + 0.5 v$
$\Rightarrow v = 14 m s^{- 1}$ .

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The amount of liquid flowing per second in the tubes (1),(2) and (3) are 10 m3/s,5 m3/s and 8 m3/s respectively. The velocity of liquid in the tube (4) having cross - section of 0.5 m2 is

The correct option is B 14 m/sIt is clear that unit of Av is m3s−1, where A is area of cross -section and v is the speed of flow Applying the equation of continuity at O and assuming the liquid is leaving O in tube 4 with speed v. A1V1+A3V3=A2V2+A4V4 10+5=8+0.5v ⇒v=14 ms−1.

The amount of liquid flowing per second in the tubes $(1), (2)$ and $(3)$ are $10 m^{3} / s, 5 m^{3} / s$ and $8 m^{3} / s$ respectively. The velocity of liquid in the tube $(4)$ having cross - section of $0.5 m^{2}$ is