A 2 m × 1.5 m tank of 6 m height is provided with a 100 mm diameter orifice at the center of its base. The orifice is plugged and the tank is filled up to 5 m height. Consider the average value of discharge coefficient as 0.6 and acceleration due to gravity (g) as 10 m/s2. After unplugging the orifice, the time (in seconds) taken for the water level to drop from 5 m to 3.5 m under free discharge condition is ______________ (rounded off to 2 decimal places).
A rectangular channel is 4.0 m wide and carries a discharge of 2.0 m3/s with a depth of 0.4 m. The channel transitions to a maximum width contraction at a downstream location, without influencing the upstream flow conditions. The width (in meters) at the maximum contraction is ______________ (rounded off to 2 decimal places).
A 5 m × 5 m closed tank of 10 m height contains water and oil, and is connected to an overhead water reservoir as shown in the figure. Use $\gamma_w$ = 10 kN/m³ and Specific gravity of oil = 0.8.
The total force (in kN) due to pressure on the side PQR of the tank is _______________ (rounded off to the nearest integer).
If 5cm3 of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be______