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AP EAMCET · PHYSICS · Thermal Properties of Matter

When a meter rod made of silver at \(0^{\circ} \mathrm{C}\) is heated to \(100{ }^{\circ} \mathrm{C}\), its length increased by \(0.19 \mathrm{~cm}\). Then, find the coefficient of volume expansion of the silver.

  1. A \(0.63 \times 10^{-5 \circ} \mathrm{C}^{-1}\)
  2. B \(1.9 \times 10^{-50} \mathrm{C}^{-1}\)
  3. C \(5.7 \times 10^{-5 \circ} \mathrm{C}^{-1}\)
  4. D \(16.1 \times 10^{-5 \circ} \mathrm{C}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(5.7 \times 10^{-5 \circ} \mathrm{C}^{-1}\)

Step-by-step Solution

Detailed explanation

Given that, length of silver rod, \(L=1 \mathrm{~m}\) Initial temperature, \(T_1=0^{\circ} \mathrm{C}\) Final temperature, \(T_2=100^{\circ} \mathrm{C}\) Increased in length, \(\Delta L=0.19 \mathrm{~cm}\) Let \(\alpha\) and \(\gamma\) be the coefficient of linear and volume…