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Q.

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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a

0.4 m

b

0.6 m

c

0.8 m

d

the level will continue to increase

answer is C.

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Detailed Solution

In steady state, A1v1 = A2v2π×22×1 = π×12×2gh⇒  h = 1620 = 0.8 m
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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?