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Q.

Water flows into a large tank with a flat  bottom at the rate of  10−4m3s−1 .Water also leaking out of a hole of area10−4m2 at its bottom. If the height of the water in the tank remains steady then this height is

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a

2.9 cm

b

5.1 cm

c

4 cm

d

1.7 cm

answer is B.

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Detailed Solution

rate of flow is same or constant rate of flow into tank=rate of flow out of tank 10−4=Area×velocity 10−4=10−42gh     here g=acceleration due to gravity; h = height h=12g=1002×980=0.051m=5.1cm
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