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A long cylindrical tank of radius 1 m is being filled by a pipe of radius 2 cm. The incoming water has a velocity of 1 m/s, The tank has a hole of radius 1 cm at the bottom. What is the height of water in the tank in steady state?

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0.6 m

the level will continue to increase

0.8 m

0.4 m

answer is C.

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Detailed Solution

In steady state, $A_{1} v_{1} = A_{2} v_{2}$

$π \times 2^{2} \times 1 = π \times 1^{2} \times \sqrt{2 gh}$

$\Rightarrow h = \frac{16}{20} = 0.8 m$

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