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A steel sphere is to be passed through a circular brass ring. At 20°C, the outer diameter of the sphere is 25 cm and the inner diameter of the ring is 24.9 cm. If both are heated together, find the temperature at which the sphere will just pass through the ring. Given : α steel = 1.2 × 10 -5 °C -1 and α brass = 2.0 × 10 -5 °C -1 . (Show the working).

A steel sphere is to be passed through a circular brass ring. At 20°C, the outer diameter of the sphere is 25 cm and the inner diameter of the ring is 24.9 cm. If both are heated together, find the temperature at which the sphere will just pass through the ring. Given : αsteel = 1.2 × 10-5 °C-1 and αbrass = 2.0 × 10-5 °C-1.
(Show the working).

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear Sarthak
 
ℓ = ℓo [1 + α ∆T]
 
Use this and you will clearly get your answer.
 
In case of any difficulty, please feel free to ask again

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