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What is the relation between $α, β & γ$ for isotropic solids, where $α i s c o e f f i c i e n t o f l i n e a r e x p a n s i o n o f s o l i d, β i s c o e f f i c i e n t o f a r e a l e x p a n s i o n o f s o l i d, γ i s c o e f f i c i e n t o f v o l u m e e x p a n s i o n o f s o l i d$

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α=3β+2γ

α+β=γ

γ=23β+α

β=γ3+4α

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detailed solution

Correct option is B

coefficient of areal expansion of solid β=2α coefficient of volume expansion of solid γ=3α hence γ=α+β=α+2α=3α

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What is the relation between α,β&γ for isotropic solids, where α is coefficient of linear expansion of solid, β is coefficient of areal expansion of solid, γ is coefficient of volume expansion of solid

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