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Two rods , one of aluminium and the other made of steel, having initial length `l_(1)` and `l_(2)` are connected together to from a sinlge rod of length `l_(1)+l_(2)` . The coefficient of linear expansion for aluminium and steel are `alpha_(a)` and `alpha_(s)` for `AC` and `BC` . If the distance `DC` remains constant for small changes in temperature,A. `(alpha_(s))/(alpha_(a))`B. `(alpha_(a))/(alpha_(s))`C. `(alpha_(s))/((alpha_(a)+alpha_(s)))`D. `(alpha_(a))/((alpha_(a)+alpha_(s)))` |
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Answer» Correct Answer - C `(Delta l)_(1)=(Delta l)_(2)` `l_(1)alpha_(1)Deltatheta=l_(2)alphaDeltatheta` `l_(2)=(alpha_(a))/(alpha_(s))l_(1)` `(l_(1))/(l_(1)+l_(1))=(l_(1))/(l_(1)+(alpha_(a))/(alpha_(s)l_(1)))=(alpha_(s))/(alpha_(a)+alpha_(s))` |
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