# Solved papers for JEE Main & Advanced AIEEE Solved Paper-2012

### done AIEEE Solved Paper-2012

• question_answer1) 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 $2\pi R$. To fit the ring on the wheel, it is heated so that its temperature rises by $\Delta T$ 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 $\alpha$, and its Young's modulus is Y, the force that one part of the wheel applies on the other part is:   AIEEE  Solved  Paper-2012

A) $2\pi SY\alpha \Delta T$

B) $SY\alpha \,\Delta T$

C) $\pi SY\alpha \,\Delta T$

D) $2SY\alpha \,\Delta T$