Two rods, one of aluminium and the other made of steel, having initial length $$l1$$ and $$l2$$ respectively are connected together to form a single rod of length $$l1+l2$$ . The coefficient of linear expansion for aluminium and steel are αa and αs respectively. If the length of each rod increases by the same amount when their temperature $$t0C$$ are raised by , then find the ratio $$l1l1+2$$

Question

Two rods, one of aluminium and the other made of steel, having initial length  $$l1$$ and $$l2$$  respectively are  connected together to  form a single rod of length $$l1+l2$$ . The coefficient  of linear  expansion for aluminium and steel are  αa and  αs respectively. If the length of each rod  increases by the same amount when their  temperature $$t0C$$ are raised by  , then  find the ratio  $$l1l1+2$$

Infinity Learn · Accepted Answer

$$l1$$α$$1=l2$$α$$2l1l2=$$α$$2$$α$$1l1l2+1=$$α$$2$$α$$1+$$α$$1l1+l2l2=$$α$$1+$$α$$2$$α$$1l1l1+l2=$$α$$2$$α$$2+$$α$$1$$

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