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When a rubber-band is stretched by a dis...

When a rubber-band is stretched by a distance x, it exerts a restoring force of magnitude `F = ax + bx^2` where a and b are constants. The work done in stretching the unstretched 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)`

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