A ball is slightly too large to fit through a hole in a flateplate. The drawing

Question

A ball is slightly too large to fit through a hole in a flateplate. The drawing shows two arrangments of this situation. InArrangement I the ball is made from metal A and the plate frommetal B. When the same number of Celsius degrees cools both theball and the plate, the ball passes through the hole. InArrangement II the ball is also made from metal A, but the plate ismade from metal C. Here, the ball passes through the hole when thesame number of Celsius degrees heats both the ball and plate. Rankthe coefficients of linear thermal expansion of metals A, B, and Cin descending order. (Largest first) a. B, A, C b. B, C, A c. C, B, A d. C, A, B e. A, B, C

Explanation / Answer

Since change in dimension is proportional to, A > B since A shrinks faster. In second expt, Plate of C expands faster than ball ofA. So, C > A => C>A>B

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