The loss in weight of a solid immersed in a liquid at 0 ∘ C is W 0 and at t ∘ C is W . If their volume expansion coefficients are γ s , γ l , then:

Upthrust is W = ρ l V s g . W 0 W = ( 1 + Y 1 t ) ( 1 + Y S t ) . To first order, W 0 W ≃ 1 + ( γ s − γ l ) t .

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PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

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The loss in weight of a solid immersed in a liquid at $0^{\circ} C$ is $W_{0}$ and at $t^{\circ} C$ is $W$ . If their volume expansion coefficients are $γ_{s}, γ_{l}$ , then:

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Solution:

Upthrust is $W = ρ_{l} V_{s} g$ .

$\frac{W}{W _{0}} = \frac{( 1 + Y _{S} t )}{( 1 + Y _{1} t )} .$

To first order, $\frac{W}{W _{0}} ≃ 1 + (γ_{s} - γ_{l}) t$ .

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: QB

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