Two rods, one made of aluminium and the other made of steel, having initial lengths $l_1$ and $l_2$ respectively are connected together to form a single rod of length $(l_1 + l_2)$. The coefficients of linear expansion for aluminium and steel of $\alpha_1$ and $\alpha_2$ respectively. If the length of each rod increases by the same amount when their temperature is raised by $t^oC$, then the ratio $l_1/(l_1 + l_2)$ :-
Two rods, one made of aluminium and the other made of steel, having initial lengths $l_1$ and $l_2$ respectively are connected together to form a single rod of length $(l_1 + l_2)$. The coefficients of linear expansion for aluminium and steel of $\alpha_1$ and $\alpha_2$ respectively. If the length of each rod increases by the same amount when their temperature is raised by $t^oC$, then the ratio $l_1/(l_1 + l_2)$ :-
- A
$\frac{\alpha_1}{\alpha_2}$
- B
$\frac{\alpha_2}{\alpha_1}$
- C
$\frac{\alpha_2}{(\alpha_1+\alpha_2)}$
- D
$\frac{\alpha_1}{(\alpha_1+\alpha_2)}$
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