AP EAMCET · PHYSICS · Thermal Properties of Matter
As shown in the figure, an equilateral triangle \(A B C\) is formed by joining three rods of equal lengths and \(D\) is the midpoint of \(A B\).
Coefficient of linear expansion of the material of \(A B\) is \(\alpha_1\) and that of \(A C\) and \(B C\) is \(\alpha_2\). If the length \(D C\) remains constant for small changes in temperature, then
- A \(\alpha_1=\alpha_2\)
- B \(\alpha_1=4 \alpha_2\)
- C \(\alpha_2=4 \alpha_1\)
- D \(\alpha_1=\frac{\alpha_2}{2}\)
Answer & Solution
Correct Answer
(B) \(\alpha_1=4 \alpha_2\)
Step-by-step Solution
Detailed explanation
For a change of temperature by \(t\), change in length \(D C\) is \(\triangle D C\), then \(\triangle D C^2=\triangle A C^2-\triangle A D^2\)…
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