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Q. Density of mercury $=13.6\, g \,cm ^{-3}$, density of a liquid $=1.36 \,g \,cm ^{-3}$. If the height of mercury barometer is $76 \,cm$, then the height of the liquid barometer is

Mechanical Properties of Solids

Solution:

$\rho_{ Hg } \cdot g \cdot h_{ Hg }=\rho_{i} \cdot g \cdot h_{l}$
$h_{l}=\frac{\rho_{ Hg } \cdot h_{ Hg }}{\rho_{l}}=\frac{13.6 \times 76 cm }{1.36}$
$760 \,cm$