TS EAMCET · Physics · Thermal Properties of Matter
Two wires \(A\) and \(B\) of same length, same radius and same Young's modulus are heated to same range of temperatures. If the coefficient of linear expansion of A is \(\frac{3}{2}\) times that of \(\mathrm{B}\), then the ratio of the thermal stresses produced in the two wires A and B is
- A \(2: 3\)
- B \(9: 4\)
- C \(4: 9\)
- D \(3: 2\)
Answer & Solution
Correct Answer
(D) \(3: 2\)
Step-by-step Solution
Detailed explanation
Coefficient of Linear expansion of \(A=\alpha_A\) Coefficient of Linear expansion of \(B=\alpha_B\) \[ \alpha_{\mathrm{A}}=\frac{3}{2} \alpha_{\mathrm{B}} \] Thermal stress is given as: \(\delta=\alpha \mathrm{Y} \Delta \mathrm{T}\) Ratio of thermal stress:…
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