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A thin ring has a radius \( R \), density \( \rho \) and Youngs modulus Y. The ring is rotated in its
P own plane about an axis passing through its

W. centre with angular velocity \( \omega \). Then the small increase in its radius is :-
(1) \( d R=\frac{\rho \omega^{2} R^{3}}{Y} \)
(2) \( d R=\frac{3 \rho \omega^{2} R^{3}}{Y} \)
(3) \( d R=\frac{6 \rho \omega^{2} R^{3}}{Y} \)
(4) \( d R=\frac{\rho \omega^{2} R^{3}}{2 Y} \)
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