The temperature of an isotropic cubical solid of length `l_(0)`, density `rho_(0)` and coefficient of linear expansion `alpha` is increased by `20^(@)
The temperature of an isotropic cubical solid of length `l_(0)`, density `rho_(0)` and coefficient of linear expansion `alpha` is increased by `20^(@)C`. Then at higher temperature , to a good approximation:-
A. Length is `l_(0) (1+20alpha)`
B. Total surface area is `l_(0)^(2) (1 +40alpha)`
C. Total volume is `l_(0)^(3)(1+60alpha)`
D. Density is `(rho_(0))/(1+ 60 alpha)`
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Correct Answer - A::C::D
Length
`l = l_(0) (1+alphaDeltaT) = l_(0) (1+20alpha)`
Area
` A =A_(0) (1+betaDeltaT) = 6l_(0)^(2)(1+40alpha)`
Volume
` V=V_(0) (1+gammaDeltaT) = l_(0)^(3) ( 1+3alphaDeltaT) = l_(0)^(3) (1+60alpha)`
Density
`rho = (rho_(0))/(1+gammaDeltaT) = (rho_(0))/(1+60alpha)`
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