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JEE Main Physics Class 11 Properties of Solids and Liquids Questions Part 1 Questions

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Question : 63

Total: 100

A wooden wheel of radius R is made of two semicircular part (see figure). The two parts are held together by a ring made of a metal strip of cross sectional area S and length L. L is slightly less than 2πR. To fit the ring on the wheel, it is heated so that its temperature rises by ΔT and it just steps over the wheel. As it cools down to surrounding temperature, it presses the semicircular parts together. If the coefficient of linear expansion of the metal is α, and its Young's modulus is Y, the force that one part of the wheel applies on the other part is:

2πSYαΔT
SYαΔT
πSYαΔT
2SYαΔT

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