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Two rods having length `l_1` and `l_2`, made of materials with the linear expansion coefficient `alpha_1` and `alpha_2`, were soldered together. The equivalent coefficient of linear expansion for the obtained rod isA. `(l_1alpha_2+l_2alpha_1)/(l_1+l_2)`B. `(l_1alpha_1+l_2alpha_2)/(alpha_1+alpha_2)`C. `(l_1alpha_1+l_2alpha_2)/(l_1+l_2)`D. `(l_2alpha_1+l_1alpha_2)/(alpha_1+alpha_2)` |
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Answer» Correct Answer - C `L_1(1+alpha_1Deltat)+l_2(1+alpha_2Deltat)=l_f` `l_f=l_1+l_2+(l_1alpha_1+l_2alpha_2)Deltat` `l_f=l_1+l_2(1+(l_1alpha_1+l_2alpha_2)/(l_1+l_2))` |
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