A wire of length \(L\) and mass \(100\,\text{g}\) is bent in the form of a circular ring. If the moment of inertia of the ring about its diameter is
\[
98\times10^{-5}\,\text{kg m}^2,
\]
then the value of \(L\) is
Show Hint
Remember the standard moments of inertia of a thin ring:
\[
\boxed{
I_{\text{diameter}}=\frac12MR^2,
\qquad
I_{\text{centre, perpendicular}}=MR^2.
}
\]
The circumference of the ring is
\[
\boxed{L=2\pi R.}
\]