A 50 cm copper rod and steel scale are at 20°C, the scale calibration temperature. Heat both to 120°C. With α c = 18 × 1 0 − 6 and α s = 12 × 1 0 − 6 K − 1 , find the scale reading in cm to three decimals.

Reading = 50 1 + ( 12 × 1 0 − 6 ) ( 100 ) 1 + ( 18 × 1 0 − 6 ) ( 100 ) = 50.029964 … cm , giving 50.030 cm .

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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

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A 50 cm copper rod and steel scale are at 20°C, the scale calibration temperature. Heat both to 120°C. With $α_{c} = 18 \times 1 0^{- 6}$ and $α_{s} = 12 \times 1 0^{- 6} K^{- 1}$ , find the scale reading in cm to three decimals.

Answer:

50.03

Solution:

Reading $= 50 \frac{1 + ( 18 \times 1 0 ^{- 6} ) ( 100 )}{1 + ( 12 \times 1 0 ^{- 6} ) ( 100 )} = 50.029964 \dots cm$ , giving 50.030 cm .

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: QB

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