The height of a mercury barometer is $75 \ cm$ at sea level and $50 \ cm$ at the top of a hill. The ratio of the density of mercury to that of air is $10^4$. The height of the hill is ....... $km$.

The pressure at a point $10 \ m$ below the surface of water is (take atmospheric pressure $P_0 = 1.01 \times 10^5 \ Nm^{-2}$ and $g = 10 \ ms^{-2}$):

As the depth increases in a vessel filled with liquid, the pressure ..........

The gauge pressure at a depth of $50 \,m$ in a sea is (Density of sea water is $1025 \,kg \,m^{-3}$ and $g=10 \,ms^{-2}$ ). (in $\,Pa$)

$A$ barometer tube,containing mercury,is lowered in a vessel containing mercury until only $50 \, cm$ of the tube is above the level of mercury in the vessel. If the atmospheric pressure is $75 \, cm$ of mercury,what is the pressure at the top of the tube?

What does it mean when the height of a barometer is rising?