A fully immersed solid displaces liquid weighing 10 N at 0°C. Its volume expansion coefficient is 3 × 1 0 − 5 K − 1 and that of the liquid is 8 × 1 0 − 4 K − 1 . Using V = V 0 ( 1 + γ Δ T ) for each, find the upthrust at 50°C in N, to three decimal places.

W 0 W = ( 1 + γ l Δ T ) ( 1 + γ Δ Δ T ) . W = ( 1.04 ) 10 ( 1.0015 ) = 9.6298077 N . To three decimals, 9.630 N.

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PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

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A fully immersed solid displaces liquid weighing 10 N at 0°C. Its volume expansion coefficient is $3 \times 1 0^{- 5} K^{- 1}$ and that of the liquid is $8 \times 1 0^{- 4} K^{- 1}$ . Using $V = V_{0} (1 + γ Δ T)$ for each, find the upthrust at 50°C in N, to three decimal places.

Answer:

9.63

Solution:

$\frac{W}{W _{0}} = \frac{( 1 + γ _{Δ} Δ T )}{( 1 + γ _{l} Δ T )}$ .

$W = \frac{10 ( 1.0015 )}{( 1.04 )} = 9.6298077 N .$

To three decimals, 9.630 N.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: QB

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