Question

A solid floats in a liquid at 20°C with 75% of its volume immersed.  When the liquid is heated to 100°C, the same solid floats with 80% of its volume immersed in the liquid.  Calculate the coefficient of expansion of the liquid.  (Assume the volume of the solid to be constant )​

Answer 1

Answer:

Correct option is

B

8.33×10

−4

/

0

C

For the body to float with 75% inside liquid, the buoyant force at that temperature must be equal to its weight,

⟹Mg=0.75Vρ

20

∘

g

Similarly for body to float with 80% inside liquid, the buoyant force at that temperature must be equal to its weight,

⟹Mg=0.80Vρ

100

∘

g

ρ

20

1. ∘

ρ

100

∘

=

0.80

0.75

=

1+γΔT

1

⟹γ=8.33×10

−4

/

∘

C