Explain what is meant by the coefficient...

Explain what is meant by the coefficients of linear `(alpha)`, superficial `(beta)` and cubical expansion `(gamma)` of a solid. Given their units, find the relationship between them.

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The relation between coefficient of linear, superficial, cubical expansion is

` beta = 3 alpha, gamma = 6 alpha `

`beta = (3)/(2) alpha, gamma = (6)/(3) alpha `

`beta = 3 alpha , gamma = 4 alpha `

`beta = 2 alpha , gamma = 3 alpha `

Coefficient of linear expansion alpha an coefficient of volume expansio gamma of solid are related as

`gamma = 3 alpha`

`alpha = 3 gamma`

`gamma = 2 alpha`

`alpha = gamma`

The ratio among coefficient of volume expansion, superficial expansion and linear expansion i.e., gamma . beta : alpha is

`1:1:1`

`1:2:1`

`1:3:2`

`3:2:1`