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(C) The capillary rise formula is given by $h = \frac{2S \cos 	heta}{r ho g}$.Assuming the angle of contact $	heta$ and radius $r$ remain constant

Vedclass · Accepted Answer

$0.05$

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(C) The capillary rise formula is given by $h = \frac{2S \cos 	heta}{r ho g}$.Assuming the angle of contact $	heta$ and radius $r$ remain constant,we have $h \propto \frac{S}{ho}$.Given for liquid $A$: $h_1 = 5 \ cm$,surface tension $= S_1$,density $= ho_1$.Given for liquid $B$: surface tension $S_2 = 2S_1$,density $ho_2 = 2ho_1$.Using the ratio: $\frac{h_1}{h_2} = \frac{S_1}{S_2} 	imes \frac{ho_2}{ho_1}$.Substituting the values: $\frac{5}{h_2} = \frac{S_1}{2S_1} 	imes \frac{2ho_1}{ho_1} = \frac{1}{2} 	imes 2 = 1$.Therefore,$h_2 = 5 \ cm = 0.05 \ m$.

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