If pressure at half the depth of a lake is equal to 2/3 pressure at the bottom of the lake then what is the depth of the lake

Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is 36 g and its density is 9 g / cm³. If the mass of the other is 48 g, its density in g / cm³ is

An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm³ of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm³)

A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g/cm³). The level of mercury in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water

A uniformly tapering vessel is filled with a liquid of density 900 kg/m³. The force that acts on the base of the vessel due to the liquid is (g = 10 ms ^-2 )

A tank 5 m high is half filled with water and then is filled to the top with oil of density 0.85 g/cm³. The pressure at the bottom of the tank, due to these liquids is

A siphon in use is demonstrated in the following figure. The density of the liquid flowing in siphon is 1.5 gm/cc. The pressure difference between the point P and S will be

The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. Ratio of density of mercury to that of air is 10⁴. The height of the hill is

A homogeneous solid cylinder of length L(L < H / 2). Cross-sectional area A / 5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L / 4 in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure P₀. Then density D of solid is given by

Density of ice is P and that of water is σ. What will be the decrease in volume when a mass M of ice melts