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When a rubber bandis streched by a dista...

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` is

A

`aL^2+bL^3`

B

`1/2(aL^2+bL^3)`

C

`(aL^2)/(2)+(bL^3)/(3)`

D

`1/2((aL^2)/(2)+(bL^3)/(3))`

Text Solution

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The correct Answer is:
C
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