A) \[{{({{\alpha }_{x}}\,{{\alpha }_{y}}\,{{\alpha }_{z}})}^{1/3}}\]
B) \[{{\alpha }_{x}}+{{\alpha }_{y}}+{{\alpha }_{z}}\]
C) \[{{(\alpha _{x}^{2}+\alpha _{y}^{2}+\alpha _{z}^{2})}^{1/2}}\]
D) \[{{(\sqrt{{{\alpha }_{x}}}+\sqrt{{{\alpha }_{y}}}+\sqrt{{{\alpha }_{z}}})}^{2}}\]
Correct Answer: B
Solution :
For anisotropic solids\[\rho ={{\alpha }_{x}}+{{\alpha }_{y}}+{{\alpha }_{z}}\]where \[{{\alpha }_{x}},\,\,{{\alpha }_{y}}\] and \[{{\alpha }_{z}}\] represent the mean coefficient of linear expansion along three mutually perpendicular directions.
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