A U -shaped tube is partially filled with an incompressible liquid of density 1 . 2 g cm - 3 . Oil which does not mix with the liquid is next poured into the left side of the U -tube until the liquid rises by, 15 cm on the right side of U -tube. If the density of the oil is 0 . 9 g cm - 3 , the oil level will stand higher than the liquid level of the right side of U -tube by

Question

A U -shaped tube is partially filled with an incompressible liquid of density 1 . 2 g cm - 3 . Oil which does not mix with the liquid is next poured into the left side of the U -tube until the liquid rises by, 15 cm on the right side of U -tube. If the density of the oil is 0 . 9 g cm - 3 , the oil level will stand higher than the liquid level of the right side of U -tube by, 15 cm, 10 cm, 12 cm, 9 cm

MARKS App · Accepted Answer

Use the concept of pressure in the above case the pressure at both the sides of U-tube should be same, it means, the pressure due to liquid column should be same as both side, it means, h 0 ρ o g = h l ρ l g ⇒ h 0 = h l ρ l g ρ o g = 30 × 1 . 2 0 . 9 = 40 cm , because the total difference in height of water in both sides is equal to 2 × 15 = 30 cm , then the difference should be, 40 - 30 = 10 cm .

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