A brass plate has a circular hole of diameter 2.000 cm at 2 0 ∘ C. The plate is heated by 200 K ( α = 1.9 × 1 0 − 5 K − 1 ). Find the new diameter of the hole in cm (four decimals).

The hole expands as if it were filled with brass. d = d 0 ( 1 + α Δ T ) = 2.000 × ( 1 + 1.9 × 1 0 − 5 × 200 ) = 2.0076 cm. The hole gets larger.

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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoHeat TransferMedium2 min

PhysicsMediumnumerical

A brass plate has a circular hole of diameter 2.000 cm at $2 0^{\circ}$ C. The plate is heated by 200 K ( $α = 1.9 \times 1 0^{- 5}$ $K^{- 1}$ ). Find the new diameter of the hole in cm (four decimals).

Answer:

2.01

Solution:

The hole expands as if it were filled with brass. $d = d_{0} (1 + α Δ T) = 2.000 \times (1 + 1.9 \times 1 0^{- 5} \times 200) = 2.0076$ cm. The hole gets larger.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Heat Transfer

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