First slide
Thermal expansion
Question

A solid cube with coefficient of linear expansion o floats in a liquid whose coefficient of volume expansion is γ. When both the solid and liquid are heated, then the solid does not sink or lift when

Moderate
Solution

We have shown above that f=ρsρl
On heating f=ρsρl=ρs(1+3αΔT)×(1+γΔT)ρl
                   =f(1+γΔT)(1+3αΔT)

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