InterviewSolution
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InterviewSolution
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The radious of a metal sphere at room temperature T is R, and the coefficient of linar expansion of the metal is `alpha`. The sphere is heated a little by a temperature `Delta T` so that its new temperature is `T+ Delta T`. The increase in the volume of the sphere is approximatelyA. `2pi R alpha Delta T`B. `pi R^(2) alpha Delta T`C. `4 pi R^(3) alpha Delta t//3`D. `4 pi R^(3) alpha Delta T` |
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Answer» Correct Answer - D Let V be the volume of sphere of radiuas R at temp. T, then `V=(4)/(3) pi R^(3)`. Increase in volume of sphere with rise in temperature `Delta T` is `Delta V= gamma V Delta T =3alphaxx(4)/(3) pi R^(3) Delta T =4pi R^(3) alpha Delta T` |
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