Q.

The length of a steel rod is 5cm more than that of a brass rod. If this difference in their lengths is to remain the same at all temperatures, then the length of brass rod will be (Coefficient of linear expansion for steel and brass are 12 x 10-6/oC and 18 x 10-6/oC respectively)

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a

20 cm

b

15 cm

c

5 cm

d

10 cm

answer is D.

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Detailed Solution

IB×αB=IsαSIB+5αs=IB×αBIB+512=IB×18 IB+5=32IBIB2=5IB=10cm
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The length of a steel rod is 5cm more than that of a brass rod. If this difference in their lengths is to remain the same at all temperatures, then the length of brass rod will be (Coefficient of linear expansion for steel and brass are 12 x 10-6/oC and 18 x 10-6/oC respectively)