Questions in Mechanical Properties of Fluids

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	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 $9 g / cm^3$. If the mass of the other is $48 g$, its density in $g / cm^3$ is
	An inverted bell lying at the bottom of a lake $47.6 m$ deep has $50 cm^3$ 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 $Hg = 13.6 g/cm^3$)
	A uniformly tapering vessel is filled with a liquid of density $900 kg/m^3$. The force that acts on the base of the vessel due to the liquid is $(g=10\,m{{s}^{-2}})$
	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 $10^4$. The height of the hill is
	Density of ice is $\rho $ and that of water is $\sigma $. What will be the decrease in volume when a mass $M$ of ice melts
	Equal masses of water and a liquid of density 2 are mixed together, then the mixture has a density of
	A body of density ${{d}_{1}}$is counterpoised by $Mg$ of weights of density ${{d}_{2}}$ in air of density $d$. Then the true mass of the body is
	The pressure at the bottom of a tank containing a liquid does not depend on

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