InterviewSolution
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InterviewSolution
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When a rubber bandis streched by a distance `x` , if exerts resuring foprce of magnitube `F = ax + bx^(2)` where`a` and `b` are constant . The work in streached the unstreched rubber - band by `L` isA. `(aL^(2))/(2)+(bL^(3))/(3)`B. `(1)/(2)((aL^(2))/(2)+(bL^(3))/(3))`C. `(bL^(2))/(2)-(aL^(3))/(3)`D. `(1)/(2)((bL^(2))/(2)-(aL^(3))/(3))` |
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Answer» Correct Answer - A Restoring force on rubber-band, `F = ax + bx^(2)` Work done in stretching the rubber-band by a small amount `dx`. `dW = Fdx` Net work done in stretching the rubber-band by `L` is `W = int dW = underset(0)overset(L) int Fdx = underset(0)overset(L) int (ax + bx^(2)) dx` `rArr W =[a(x^(2))/(2) + b(x^(3))/(3)]_(0)^(L) = (aL^(2))/(2) + (bL^(2))/(3)`. |
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