JEE Main 2012 — Thermal Properties of Matter Question with Solution
JEE Main 2012 (Offline)
Question
A wooden wheel of radius 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 . is slightly less than . To fit the ring on the wheel, it is heated so that its temperature rises by 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 , and its Youngs' modulus is , the force that one part of the wheel applies on the other part is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
If temperature increases by ,
Increase in length
Let tension developed in the ring is .
From FBD of one part of the wheel,
Where, is the force that one part of the wheel applies on the other part.
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This is a previous-year question from JEE Main 2012, covering the Thermal Properties of Matter chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.