Question

A cylindrical tank has a hole of `1cm^(2)` in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of `70cm^(3)//sec`, then the maximum height up to which water can rise in the tank is
A. 2.5 cm
B. 5 cm
C. 10 cm
D. 0.25 cm

Answer 1

Correct Answer - A
The height of water is maximum when Inflow rate = outflow rate
`70 = av = a sqrt(2 g h_(max))`
=`1 sqrt(2g h_(max))`
`h_(max)= (70 xx 70)/(2 xx 980) = (10)/(4) = 2.5 cm`.
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