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A metallic bob weights 50 g in air. If i...

A metallic bob weights `50 g` in air. If it is immersed in a liquid at a temperature of `25^@ C`, it weights `45 g` . When the temperature of the liquid is raised to `100^@ C`, it weights `45.1 g`. Calculate the coefficient of cubical expansion of the liquid. Given that coefficient of cubical expansion of the metal is `12 xx 10^(-6) .^@ C^-1`.

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`(v _(1))/(v _(0)) (d _(1))/( d _(0)) = (4.9)/( 5) = ( V _(0) (1 + gamma _(1) x ) d _(0))/(d _(0) V _(0) (1 + gamma _(2) x )) = (1 + 75 gamma _(1))/( 1 + 75 gamma _(2)) = (49)/(50) therefore l = 75 x 49 gamma _(2) - 75 xx 50 gamma _(1)`
`implies 75 (49 gamma _(2) - ( 50 xx 3.6)/(10 ^(5)))_ = 1 implies gamma = 0.000308//K.`
It is a matter of common experience that bodies.
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