Work, Energy & Power · JEE Main previous year questions

2014 1 question

1. Q342014 · 6 Apr 2014 · Shift 1

   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 :

   1. A.$a{L}^2+b{L}^3$
   2. B.$\frac{1}{2}(a{L}^2+b{L}^3)$
   3. C.$\frac{a{L}^2}{2}+\frac{b{L}^3}{3}$
   4. D.$\frac{1}{2}\left(\frac{a{L}^2}{2}+\frac{b{L}^3}{3}\right)$
   Show answer

   Answer: C