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TS EAMCET · Physics · Thermal Properties of Matter

The area of a circular copper coin increases by \(0.4 \%\) when its temperature is raised by \(100^{\circ} \mathrm{C}\). The coefficient of linear expansion of the coin is :

  1. A \(1 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
  2. B \(2 \times 10^{-5} / \mathrm{C}\)
  3. C \(3 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
  4. D \(4 \times 10^{-5} / \mathrm{C}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2 \times 10^{-5} / \mathrm{C}\)

Step-by-step Solution

Detailed explanation

Given, area of a circular copper coin increases by \(0.4 \%\). i.e., \(\quad \frac{\Delta A}{A}=0.004\) Increase in temperature, \(\Delta T=100^{\circ} \mathrm{C}\) We lonow that, the coefficient of areal expansion \(\beta\) is given by…
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