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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)` |
Answer» 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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