ExamBro
ExamBro
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

  1. A \(\ell_{\mathrm{A}}=120 \mathrm{~cm}, \ell_{\mathrm{B}}=60 \mathrm{~cm}\).
  2. B \(\ell_{\mathrm{A}}=180 \mathrm{~cm}, \ell_{\mathrm{B}}=120 \mathrm{~cm}\).
  3. C \(\ell_{\mathrm{A}}=240 \mathrm{~cm}, \ell_{\mathrm{B}}=180 \mathrm{~cm}\).
  4. D \(\ell_{\mathrm{A}}=270 \mathrm{~cm}, \ell_{\mathrm{B}}=210 \mathrm{~cm}\).
Verified Solution

Answer & Solution

Correct Answer

(B) \(\ell_{\mathrm{A}}=180 \mathrm{~cm}, \ell_{\mathrm{B}}=120 \mathrm{~cm}\).

Step-by-step Solution

Detailed explanation

\(L_A - L_B = 60\) \(L_A \alpha_A = L_B \alpha_B\)