A rod of length 20 cm is made of metal. It expands by 0.075cm when its temperature is raised from 0°C to 100°C. Another rod of a different metal B having the same length expands by 0.045 cm for the same change in temperature. A third rod of the same length is composed of two parts, one of metal A and the other of metal B. This rod expands by 0.060 cm for the same change in temperature. The portion made of metal A has the length
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a
20 cm
b
10 cm
c
15 cm
d
18 cm
answer is B.
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Detailed Solution
Rod A : 0.075 = 20 x A x 100 rod B : 0.045 = 20 x B x 100 For composite rod : x cm of A and (20 – x) cm of B we have0.060 = x A x 100 + (20 – x) B x 100 On solving we get x = 10 cm