1.

A metal block is heated through 10^@Ctill the volumeof it changes by 0.31%. Calculate the coefficient of linear expansion of block.

Answer»

SOLUTION :`(DELTA V)/(V) = (0.31)/(100)`
` Delta T = 10^@C`
As` Delta V = gamma V Delta T`
` (Delta V)/(V) = gamma Delta T`
` rArr gamma = (Delta V)/(V Delta T) = (0.31)/(100 xx 10)- 0.00031`
As`alpha = gamma / 3 = (0.00031)/(3) = 0.0001^@C^(-1)`


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