Properties of Matter 2 Question 8

8. 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

(1983, 1M)

(a) 1.12

(b) 1.1

(c) 1.05

(d) 1.0

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Answer:

Correct Answer: 8. (a, d)

Solution:

$$ \begin{aligned} & p _1=p _2 \\ & p _0+\rho _I g h=p _0+\rho _{II} g h \\ \therefore \quad & \rho _I=\rho _{II} \Rightarrow \rho _{II}=1.1 \end{aligned} $$



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