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WBJEE · Physics · Thermal Properties of Matter

The apparent coefficient of expansion of a liquid, when heated in a copper vessel is \(C\) and when heated in silver vessel is S . If A is linear coefficient of expansion of copper, then linear coefficient of expansion of silver is

  1. A \(\frac{\mathrm{C}-\mathrm{S}-\mathrm{3A}}{3}\)
  2. B \(\frac{\mathrm{C}+\mathrm{3A}-\mathrm{S}}{3}\)
  3. C \(\frac{\mathrm{S}+\mathrm{3A}-\mathrm{C}}{3}\)
  4. D \(\frac{\mathrm{C}+\mathrm{S}+\mathrm{3A}}{3}\)
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Correct Answer

(B) \(\frac{\mathrm{C}+\mathrm{3A}-\mathrm{S}}{3}\)

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Detailed explanation

\begin{aligned} & \text {} \mathrm{C}=\gamma_L-\gamma_C \Rightarrow \mathrm{C}=\gamma_L-\mathrm{3A} \Rightarrow \gamma_L=\mathrm{C}+\mathrm{3A} \\ & \mathrm{~S}=\gamma_L-\gamma_S \Rightarrow \gamma_S=\mathrm{C}+\mathrm{3A}-\mathrm{S} \\ & \Rightarrow…

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