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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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