Water flows into a large tank with flat bottom at the rate of  10−4 m3/s. Water is also leaking out of a hole of area  1 cm2 at its bottom. If the height of the water  in the tank remains steady,  then this height (in cm) is :  take g=9.8 m/s2

GivenRate of flow  Q=10−4 m3/sAcceleration due to gravity  g=9.8 m/s2Since height of water column is constant therefore, water inflow rate (Qin) = water outflow rate Qin =10−4m3/sQout =Au=10−4×2gh10−4=10−419.6×hh=119.6m=5.1cmTherefore, the correct answer is 5.10