TS EAMCET · Physics · Thermal Properties of Matter
A bimetallic strip is formed out of two identical strips, one of copper and the other of brass. The coefficients of linear expansion of the two metals are \(\alpha_C\) and \(\alpha_B\). On heating, the temperature of the strip increases by \(\Delta T\) and the strip bends to form an arc of radius \(R\). Then \(R\) is proportional to
- A \(\Delta T\)
- B \(\frac{1}{\Delta T}\)
- C \(\sqrt{\Delta T}\)
- D \(\frac{1}{\sqrt{\Delta T}}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{\Delta T}\)
Step-by-step Solution
Detailed explanation
Let \(L_0\) be the initial length of each strip before heating. Length after heating will be \(L_B=L_0\left(1+\alpha_B \Delta T\right)\) \(=(R+d) \theta\) \(L_C=L_0\left(1+\alpha_C \Delta T\right)=R \theta\)…
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