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Standard XII

Physics

Friction

A U-tube of u...

Question

A U-tube of uniform cross section is partially filled with a liquid I. Another liquid II which does not mix with liquid I is poured into one side. It is found that the liquid levels of the two sides of the tube are the same, while the level of liquid I has risen by 2 cm. If the specific gravity of liquid I is 1.1, the specific gravity of liquid II must be:

1.12

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1.1

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1.05

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Solution

The correct option is B 1.1
It is clear that the height of liquid column I in right limb is (h+2) cm and the height of liquid column II in left limb is 2.0 cm and of liquid column I is h cm.
$∴ 2 \times ρ_{2} \times g + h \times 1.1 \times g = (2 + h) \times 1.1 \times g \Rightarrow 2 ρ_{2} = 2.2 \Rightarrow ρ_{2} = 1.1$

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The correct option is B 1.1It is clear that the height of liquid column I in right limb is (h+2) cm and the height of liquid column II in left limb is 2.0 cm and of liquid column I is h cm. ∴2×ρ2×g+h×1.1×g=(2+h)×1.1×g⇒2ρ2=2.2⇒ρ2=1.1