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When a rubber band is streched by a dist...

When a rubber band is streched by a distance `x` , if exerts restoring force 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^(3) + bL^(3)`

D

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

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