JEE Main2014PhysicsWork, Power and EnergyActual
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 :
Options
- AaL 2 + bL 3
- B1 2 aL 2 + bL 3
- CaL 2 2 + bL 3 3
- D1 2 aL 2 2 + bL 3 3
Correct answer
C. aL 2 2 + bL 3 3
Step-by-step solution
W = ∫ F d x = ∫ ax + bx 2 dx = a 2 x 2 0 L + b 3 x 3 0 L = a L 2 2 + b L 3 3