A particle of mass $m$ is performing linear simple harmonic motion. Its equilibrium is at $x = 0,$ force constant is $K$ and amplitude of $SHM$ is $A$. The maximum power supplied by the restoring force to the particle during $SHM$ will be

  • A

    $\frac{{{K^{\frac{3}{2}}}{A^2}}}{{\sqrt m }}$

  • B

    $\frac{{2{K^{\frac{3}{2}}}{A^2}}}{{\sqrt m }}$

  • C

    $\frac{{{K^{\frac{3}{2}}}{A^2}}}{{3\sqrt m }}$

  • D

    $\frac{{{K^{\frac{3}{2}}}{A^2}}}{{2\sqrt m }}$

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  • [JEE MAIN 2023]