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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)`

Text Solution

Verified by Experts

The correct Answer is:
C
`intdW=intFdl`
`W=int_0^Laxdx+int_0^Lbx^2dx=(aL^2)/2+(bL^3)/3`
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