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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)

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20 cm

15 cm

5 cm

10 cm

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detailed solution

Correct option is D

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)

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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)