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Q.

Figure shows a rectangular plate of dimensions (l x b) from which the circular holes of radii r1 and r2 (r1 > r2) has been cut. The distance between the two holes is d (> r2 ). If d' be the respective distance at some higher temperature, then (d'/d) is

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a

(1+αΔT)

b

αΔT

c

(1−αΔT)

d

-αΔT

answer is A.

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Detailed Solution

Remember that all the dimensions will increase as the temperature is increased.           d′=d(1+αΔT)or     d′/d=1+αΔT
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Figure shows a rectangular plate of dimensions (l x b) from which the circular holes of radii r1 and r2 (r1 > r2) has been cut. The distance between the two holes is d (> r2 ). If d' be the respective distance at some higher temperature, then (d'/d) is