When a rubber-band is stretched by a distance x, it exerts restoring force of magnitude F = ax + b x² where a and b are constants. The work done in stretching the unstretched rubber-band by L is:

Work, Energy and Power: JEE Main 2014 Physics question

JEE Main 2014 · Session, Shift 1 · Q8616

JEE Main 2014Session, Shift 1PhysicsMediumWork, Energy and Power70× since 2002

When a rubber-band is stretched by a distance

x

, it exerts restoring force of magnitude

F = ax + b{x^2}

where

a

and

b

are constants. The work done in stretching the unstretched rubber-band by

L

is :