A large cylindrical tank has a hole of area A at its bottom. Water is poured in the tank by a tube of equal cross-sectional area A ejecting water at the speed u.

# A large cylindrical tank has a hole of area A at its bottom. Water is poured in the tank by a tube of equal cross-sectional area A ejecting water at the speed u.

1. A

The water level in the tank will keep on rising

2. B

No water can be stored in the tank

3. C

The water level will rise to a height v2/2g and then stop

4. D

The water level will oscillate

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

I agree to the terms and conditions and privacy policy.

### Solution:

The water going out will initially be less than the water flowing in. As a result, the water level will continue to rise. When the water level is h, the efflux velocity = $\sqrt{2\mathrm{gh}}.$ The level will stabilize when this reaches the inflow velocity since the filling tube's and the hole's cross sections have the same cross sectional area. Torricelli's theorem provides this height,

$\mathrm{v}=\sqrt{2\mathrm{gh}}$

$\frac{{\mathrm{v}}^{2}}{2\mathrm{g}}=\mathrm{h}$

Hence the correct answer is The water level will rise to a height v2/2g and then stop.

## Related content

 Sine and Cosine Waves Zener Diode Hygrometer Half Wave Rectifier Compound Microscope Solar Cooker MCB Difference Between Scalar and Vector Quantity Difference Between Interference and Diffraction Difference Between Heat and Temperature

Talk to our academic expert!

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

I agree to the terms and conditions and privacy policy.