MHT CET · Physics · Thermal Properties of Matter
The difference in length between two rods \(A\) and \(B\) is 60 cm at all temperatures. If \(\propto_A=18 \times 10^{-6} /{ }^{\circ} \mathrm{C}\) and \(\propto_B=27 \times 10^{-6} /{ }^{\circ} \mathrm{C}\), then the length of \(\operatorname{rod} A\) and \(\operatorname{rod} B\) at \(0^{\circ} C\) is respectively
- A \(\ell_{\mathrm{A}}=120 \mathrm{~cm}, \ell_{\mathrm{B}}=60 \mathrm{~cm}\).
- B \(\ell_{\mathrm{A}}=180 \mathrm{~cm}, \ell_{\mathrm{B}}=120 \mathrm{~cm}\).
- C \(\ell_{\mathrm{A}}=240 \mathrm{~cm}, \ell_{\mathrm{B}}=180 \mathrm{~cm}\).
- D \(\ell_{\mathrm{A}}=270 \mathrm{~cm}, \ell_{\mathrm{B}}=210 \mathrm{~cm}\).
Answer & Solution
Correct Answer
(B) \(\ell_{\mathrm{A}}=180 \mathrm{~cm}, \ell_{\mathrm{B}}=120 \mathrm{~cm}\).
Step-by-step Solution
Detailed explanation
\(L_A - L_B = 60\) \(L_A \alpha_A = L_B \alpha_B\)
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