An elastic string of unstretched length $L$ and force constant $k$ is stretched by a small length $x$. It is further stretched by another small length $y$. The work done in the second stretching is

  • A
    $\frac{1}{2} ky^2$
  • B
    $\frac{1}{2} ky(2x+y)$
  • C
    $\frac{1}{2} k(x^2+y^2)$
  • D
    $\frac{1}{2} k(x+y)^2$

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