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AP EAMCET · PHYSICS · Mechanical Properties of Solids

Find the stress developed inside a tooth cavity filled with copper when hot tea at temperature of \(57^{\circ} \mathrm{C}\) is drunk. You can take body (tooth) temperature to be \(37^{\circ} \mathrm{C}\) and \(\alpha=1.7 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\), bulk modulus for copper \(B=140 \times 10^9 \mathrm{Nm}^{-2}\).

  1. A \(1.4 \times 10^8 \mathrm{Nm}^{-2}\)
  2. B \(1.9 \times 10^8 \mathrm{Nm}^{-2}\)
  3. C \(2.0 \times 10^8 \mathrm{Nm}^{-2}\)
  4. D \(3.4 \times 10^7 \mathrm{Nm}^{-2}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1.4 \times 10^8 \mathrm{Nm}^{-2}\)

Step-by-step Solution

Detailed explanation

Temperature of hot tea, \(t_2=57^{\circ} \mathrm{C}\) Normal temperature of tooth, \(t_1=37^{\circ} \mathrm{C}\) \(\alpha=1.7 \times 10^{-5} \mathrm{C}^{-1}\) Bulk modulus, \(B=140 \times 10^9 \mathrm{Nm}^{-2}\) Thermal stress in tooth cavity…