The force-deformation equation for a nonlinear spring fixed at one end is $F =4x^{1/ 2}$  , where $F$ is the force (expressed in newtons) applied at the other end and $x$ is the deformation expressed in meters

  • A

    This spring mass system execute $SHM$ .

  • B

    The deformation $x_0$ if a $100\ g$ block is suspended from the spring and is at rest is $0.625\ m$ .

  • C

    Assuming that the slope of the force deformation curve at the point corresponding to the deformation $x_0$ can be used as an equivalent spring constant, then the frequency of vibration of the block is $\frac{{4\sqrt 5 }}{{2\pi }}$ .

  • D

    None of these

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