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JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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A solid whose volume does not change with temperature floats in liquid. For two different temperatures t1  and  t2{t_1}\;\mathrm{and}\;{t_2}, the fractions f1  and  f2{f_1}\;\mathrm{and}\;{f_2} of volume of solid remain submerged. What is the coefficient of volume expansion of liquid?
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Correct option: A
f1−f2f2t1−f1t2\frac{{{f_1} - {f_2}}}{{{f_2}{t_1} - {f_1}{t_2}}}
Option A (f1−f2f2t1−f1t2\frac{{{f_1} - {f_2}}}{{{f_2}{t_1} - {f_1}{t_2}}}) is correct because it correctly represents the coefficient of volume expansion derived from Archimedes' principle and density variations with temperature.

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