SATHEE: Mechanical Properties of Fluids

Mechanical Properties of Fluids - Result Question 7

7. A small hole of area of cross-section $2 m m^{2}$ is present near the bottom of a fully filled open tank of height $2 m$ . Taking $g = 10 m / s^{2}$ , the rate of flow of water through the open hole would be nearly:

[2019]

(a) ${12.610}^{- 6} m^{3} / s$

(b) ${8.910}^{- 6} m^{3} / s$

(d) ${6.410}^{- 6} m^{3} / s$

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Answer:

Correct Answer: 7. (a)

Solution:

(a) Volumetric flow rate of liquid

$Q = a u = a \sqrt{2 g h}$

$\begin{aligned} = 2 \times 10^{- 6} m^{2} \times \sqrt{2 \times 10 \times 2} m / s \\ = 2 \times 2 \times 3.14 \times 10^{- 6} m^{3} / s \\ = 12.56 \times 10^{- 6} m^{3} / s \\ = 12.6 \times 10^{- 6} m^{3} / s \end{aligned}$

Mechanical Properties of Fluids - Result Question 7

7. A small hole of area of cross-section $2 m m^{2}$ is present near the bottom of a fully filled open tank of height $2 m$ . Taking $g = 10 m / s^{2}$ , the rate of flow of water through the open hole would be nearly:

Answer:

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Mechanical Properties of Fluids - Result Question 7

7. A small hole of area of cross-section 2mm2 is present near the bottom of a fully filled open tank of height 2m. Taking g=10m/s2, the rate of flow of water through the open hole would be nearly:

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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7. A small hole of area of cross-section $2 m m^{2}$ is present near the bottom of a fully filled open tank of height $2 m$ . Taking $g = 10 m / s^{2}$ , the rate of flow of water through the open hole would be nearly: