A uniform ring of mass \(M\) and radius \(r\) is kept on a smooth cone of radius \(R\) and semi vertical angle \(\theta = 45^\circ\) such that their symmetry axis coincide. The ring is in equilibrium. Find the speed of transverse wave on the ring( in m/s)

**Details and Assumptions**

- \(r = 2.5 m\)
- \(R = 10m\)
- \(M = 0.1 kg\)
- \(g = 10 m/s^2\)

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