Teaching OSSSC TGT Teachers Mock Test Series 2025 Physics Thermal Properties of Matter Thermal expansion
Two rods, one of aluminium and the other made of steel, having initial lengths \(l_{1}\) and \(l_{2}\) are connected together to form a single rod of length \(l_{1} + l_{2}\). The coefficients of linear expansion for aluminium and steel are \(\alpha_{a}\) and \(\alpha_{s}\), respectively. If the length of each rod increases by the same amount when their temperatures are raised by \(t^{\circ}C\), then find the ratio \(\dfrac {l_{1}}{l_{1} + l_{2}}\).
1
\(\alpha_{s}/\alpha_{a}\)
2
\(\alpha_{a}/ \alpha_{s}\)
3
\(\alpha_{s}/ (\alpha_{a} + \alpha_{s})\)
4
\(\alpha_{a}/ (\alpha_{s} + \alpha_{s})\)