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A liquid in a 70 ml container starts at level $L_1 = 50$ ml, falls to $L_2 = 48.5$ ml, then rises to $L_3 = 51.2$ ml. What is the real expansion?
A$1.5\ \text{ml}$
B$3.2\ \text{ml}$
C$1.2\ \text{ml}$
D$2.7\ \text{ml}$
Answer & Solution
Correct answer: D. $2.7\ \text{ml}$
1. Real expansion is measured from the lowest level: Real $= L_3 - L_2$.
2. Substitute: Real $= 51.2 - 48.5 = 2.7$ ml.
3. Apparent expansion would be $L_3 - L_1 = 51.2 - 50 = 1.2$ ml, which is the trap option.
4. So the real expansion is 2.7 ml, larger than the apparent value as expected.
_Source: Samacheer Kalvi (TN SCERT) Class 10 Science, Unit 3 Thermal Physics "Solved Problems", p.45_
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