1.

The balancing column shown in the diagram below contains 3 liquids of different densities ρ1, ρ2 and ρ3. The liquid level of one limb is h1 below the top level and there is difference of ‘h’ relative to that in the other limb.What will be the expression of h?

A. \(\left( {\frac{{{\rho _1}\;- \;{\rho _2}}}{{{\rho _1} \;- \;{\rho _3}}}} \right){h_1}\)
B. \(\left( {\frac{{{\rho _2} \;- \;{\rho _3}}}{{{\rho _1} \;- \;{\rho _3}}}} \right){h_1}\)
C. \(\left( {\frac{{{\rho _1} \;-\; {\rho _3}}}{{{\rho _2}\; - \;{\rho _3}}}} \right){h_1}\)
D. \(\left( {\frac{{{\rho _1} \;- \;{\rho _2}}}{{{\rho _2} \;- \;{\rho _3}}}} \right){h_1}\)
Answer» D. \(\left( {\frac{{{\rho _1} \;- \;{\rho _2}}}{{{\rho _2} \;- \;{\rho _3}}}} \right){h_1}\)


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