The top of a water tank is open to... | Mechanical Properties of Fluids | JEE Main 2019

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JEE MAIN 2019

09-01 10 S2

Question

The top of a water tank is open to air and its water level is maintained. It is giving out 0.74 $m^3$ water per minute through a circular opening of 2 cm radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to:

Select the correct option:

A

9.6 m

B

2.9 m

C

4.8 m

D

6.0 m

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & \text { Jolume Flow Rate }=\frac{0.74}{60} \mathrm{~m}^3 / \mathrm{s} \\ & \text { Speed of efflux }=\frac{0.74 \times 10^4}{60 \times \pi \times 4} \mathrm{~m} / \mathrm{s}=\sqrt{2 \mathrm{gh}} \\ & \Rightarrow 9.82=\sqrt{2 \times 10 \times \mathrm{h}}\end{aligned}$

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