STANDARD Physics Thermal Expansion MCQ Question
The coefficient of expansion of a crystal in one direction (x-axis) is 2.0 × 10⁻⁶ K⁻¹ and that in the other two perpendicular (y and z-axes) direction is 1.6 × 10⁻⁶ K⁻¹. What is the coefficient of cubical expansion of the crystal?
1.6 × 10⁻⁶ K⁻¹
1.8 × 10⁻⁶ K⁻¹
2.0 × 10⁻⁶ K⁻¹
5.2 × 10⁻⁶ K⁻¹
Correct Answer
Detailed Explanation
Coefficient of cubical expansion is αₓ + αᵧ + α_z = αₓ + 2 αᵧ (∵ αᵧ = α_z) = 2.0 × 10⁻⁶ + 2 × 1.6 × 10⁻⁶ = 5.2 × 10⁻⁶ K⁻¹. Hence the correct choice is (d).
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