What should be the lengths of steel and copper rod so that the length of steel rod is 5 cm longer then the copper rod at all the temperatures? Coefficients of linear expansion for copper and steel are 
and 
:
Text Solution
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It is given that the difference in length of the two rods is always 5 cm. Thus the expansion in both the rods must be same for all temperatures. Thus we can say that at all temperature differences, we have
or 
[If 
and 
are the initial lengths of Cu and steel rods]
or 
or 
… (i)
It is given that 
… (ii)
or 
Now from equation (ii) 
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