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Question
The coefficient of linear expansion of a crystalline substance in one direction is 2×10−4/∘C and in every direction perpendicular to it is 3×10−4/∘C. The coefficient of cubical expansion of the crystal is equal to
The coefficient of linear expansion of a crystalline substance in one direction is 2×10−4/∘C and in every direction perpendicular to it is 3×10−4/∘C. The coefficient of cubical expansion of the crystal is equal to
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Solution
The correct option is C 8×10−4/∘C
If a crystal has different coefficients of linear expansion along three mutually perpendicular directions, the formula [γ=3α] can be written as
γ=α1+α2+α3
⇒γ=2×10−4+3×10−4+3×10−4
⇒γ=8×10−4/∘C
Hence, option (c) is the correct answer.
If a crystal has different coefficients of linear expansion along three mutually perpendicular directions, the formula [γ=3α] can be written as
γ=α1+α2+α3
⇒γ=2×10−4+3×10−4+3×10−4
⇒γ=8×10−4/∘C
Hence, option (c) is the correct answer.
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