A vertical \(U\)-tube of uniform inner cross-section contains mercury in both sides of its arms.....

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A vertical \(U\)-tube of uniform inner cross-section contains mercury in both sides of its arms. A glycerin (density \(=1.3 g / cm ^3\) ) column of length \(10 cm\) is introduced into one of its arms. Oil of density \(0.8 gm / cm ^3\) is poured into the other arm until the upper surfaces of the oil and glycerin are in the same horizontal level. Find the length of the oil column, Density of mercury \(=13.6 g / cm ^3\).
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