Question

Problem 10. A sphere of diameter 7 cm and mass 266.5 g
floats in a bath of a liquid. As the temperature is raised, the
sphere just begins to sink at a temperature of 35°C. If the
density of the liquid at 0°C is 1.527 g cm", find the
coefficient of cubical expansion of the liquid. Neglect the
expansion of the sphere.
[IIT]​

Answer 1

Answer:

By the law of floatation

266.5=4π3(72)3×ρ35

where ρ35= density of the liquid at 35∘C

ρ35=1.4839gcm3

But ρ0=ρ35(1+γ×35)

1.527=1.4839(1+35γ)=8.3×10−4∘C−1

Explanation: