A spring of force constant $K$ is first stretched by distance a from its natural length and then further by distance $b$. The work done in stretching the part $b$ is .............

  • A

    $\frac{1}{2} K a(a-b)$

  • B

    $\frac{1}{2} K a(a+b)$

  • C

    $\frac{1}{2} K b(2 a+b)$

  • D

    $\frac{1}{2} K b(a-b)$

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