Q.

A wheel is 80.3cm in circumference. Its iron tyre measures 80cm around its inner face. If the coefficient of linear expansion for iron is 12×10−6/0C , the temperature of the tyre must be raised by

Moderate

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1050C

2230C

312.50C

4170C

answer is 3.

(Detailed Solution Below)

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Detailed Solution

coefficient of linear expansion of solid is 80 cm ; Δt is change in temperature α=ΔllΔt ⇒Δt=Δllα substitute given values in above equation Δt=0.380×12×10−6 Δt=18×4×10−4 Δt=100×1008×4=6252=312.50C=temperature of tyre must be raised

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