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
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a
γ>3α
b
γ>3/α
c
γ=3α
d
γ=α/3
answer is C.
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Detailed Solution
We have shown above that f=ρsρlOn heating f′=ρs′ρl′=ρs(1+3αΔT)×(1+γΔT)ρl =f(1+γΔT)(1+3αΔT)
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