Two rods one of aluminum length $$I1$$, having coefficient of linear expansion α$$1$$ and other of steel of length $$l2$$ having coefficient of linear expansion α$$2$$ are joined end to the end. The expansion in both the rods is same for the same variation in temperature. Then the value $$l1/l1+l2$$ is

Question

Two rods one of aluminum length $$I1$$, having coefficient of linear expansion α$$1$$ and other of steel of length $$l2$$ having coefficient of linear expansion α$$2$$ are joined end to the end. The expansion in both the rods is same for the same variation in temperature. Then the value $$l1/l1+l2$$ is

Infinity Learn · Accepted Answer

Here α$$1l1t=$$α$$2l2tor$$   α$$1l1=$$α$$2b2$$        ∴ $$l2l1=$$α$$1$$α$$2or$$   $$l2+l1l1=$$α$$1+$$α$$2$$α$$2$$    or   $$l1l1+l2=$$α$$2$$α$$1+$$α$$2$$

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Two rods one of aluminum length I1, having coefficient of linear expansion α1 and other of steel of length l2 having coefficient of linear expansion α2 are joined end to the end. The expansion in both the rods is same for the same variation in temperature. Then the value l1/l1+l2 is

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