STANDARDPhysics-Thermal Properties of Matter

STANDARD Physics Thermal Stress and Strain MCQ Question

Type: MCQ-numerical-Medium-Class 11

Find the stress developed inside a tooth cavity filled with copper when hot tea at temperature of 57°C is drunk. (Take temperature of tooth to be 37°C, α = 1.7 × 10⁻⁵°C and bulk modulus for copper = 140 × 10⁹ Nm⁻²)

A

1.43 × 10⁸ N m⁻²

B

4.13 × 10⁸ N m⁻²

C

2.12 × 10⁴ N m⁻²

D

3.12 × 10⁴ N m⁻²

Correct Answer

Option A

Detailed Explanation

The thermal stress in the tooth cavity is calculated using the formula β × γ × ΔT, where β is the bulk modulus and γ is the volumetric strain coefficient. The change in temperature ΔT is 20°C. Substituting the given values, the stress is found to be 1.43 × 10⁸ N m⁻².

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