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If an anisotropic solid has coefficients of linear expansion \( \alpha_{x}, \alpha_{y} \), and \( \alpha_{z} \) for three mutually perpendicular directions in the solid, its coefficient of volume expansion will be
[AMU (Med.) 2012]
(a) \( \left(\alpha_{x} \alpha_{y} \alpha_{z}\right)^{1 / 3} \)
(b) \( \alpha_{x}+\alpha_{y}+\alpha_{z} \)
(c) \( \left(\alpha_{x}^{2}+\alpha_{y}^{2}+\alpha_{z}^{2}\right)^{1 / 2} \)
(d) \( \left(\sqrt{\alpha_{x}}+\sqrt{\alpha_{y}}+\sqrt{\alpha_{z}}\right)^{2} \)
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