A spring with spring constant $k $  is extended from $x = 0$to$x = {x_1}$. The work done will be

  • A

    $kx_1^2$

  • B

    $\frac{1}{2}kx_1^2$

  • C

    $2kx_1^2$

  • D

    $2k{x_1}$

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  • [JEE MAIN 2023]

Write the dimensional formula of $\frac {k}{m}$.