Two rods, one of aluminium and the other made of steel, having initial lengths $$l1$$ and $$l2$$ are connected together to form a single rod of length $$l1+l2$$.The coefficient of linear expansion for aluminium and steel are αa and αsrespectively. If the length of each rod increases by the same amount when their temperature are raised by t° C, then find the ratio $$l1l1+l2$$

Question

Two rods, one of aluminium and the other made of steel, having initial lengths $$l1$$ and $$l2$$ are connected together to form a single rod of length $$l1+l2$$.The coefficient of linear expansion for aluminium and steel are αa and αsrespectively. If the length of each rod increases by the same amount when their temperature are raised by t° C, then find the ratio $$l1l1+l2$$

Infinity Learn · Accepted Answer

∆$$la=$$∆ls ⇒                 α$$al1t=$$α$$sl2t$$ ⇒                 $$l1l2=$$αsαa ⇒               $$l1l1+l2=$$αsα$$a+$$αs

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material