Two liquids of densities $\rho_1$ and $\rho_2$ exert the same pressure. The ratio of their column heights $h_1 : h_2$ equals:
A$\rho_1 : \rho_2$
B$\rho_2 : \rho_1$
C$\rho_1^2 : \rho_2^2$
D$\sqrt{\rho_1} : \sqrt{\rho_2}$
Answer & Solution
Correct answer: B. $\rho_2 : \rho_1$
$h\rho g$ same ⇒ $h \propto 1/\rho$. So $h_1/h_2 = \rho_2/\rho_1$, i.e. denser liquid needs less height for the same pressure.
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