InterviewSolution
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InterviewSolution
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An external pressure P is applied on a cube at `0^(@)C` so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and `alpha` is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised byA. `(3alpha)/(PK)`B. `3 PK alpha`C. `(P)/(3alpha K)`D. `(P)/(alpha K)` |
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Answer» Correct Answer - C Bulk modulus of material, `K= (Delta p)/((-Delta V//V_(0)))` or `(Delta V)/(V_(0)) =(Delta p)/(K)` (in magnitude) Due to thermal expansion for rise in temperature `Delta t`, `V=V_(0)(1+gamma Delta t)=V_(0) + V_(0)gamma Delta t` or `(V-V_(0))/(V_(0)) =gamma Delta t=3 alpha Delta t` `[.: gamma =3 alpha]` or `(Delta V)/(V_(0)) =3alpha Delta t` `:. (Delta p)/(K) =3alpha Delta t` or `Delta t =(Delta p)/(3 alpha K) =(P)/(3 alpha K)` `[.: Delta p =p` (Given)] |
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