A wooden wheel of radius R is made of two semicircular parts (see figure). The two parts…
Physics · JEE Advanced · NTA Exams — Thermodynamics
A wooden wheel of radius R is made of two semicircular parts (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 ∆T 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
- 2πSYα∆T
- SYα∆T
- πSYα∆T
- 2SYα∆T
Answer
(D) 2SY α∆ T
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