A ring of radius \(R=1m\) having uniformly distributed charge \(Q=20C\) is mounted on a rod suspended by two identical strings. The tension in strings in equillibrium is \({T}_{0}=40\). Now a vertical magnetic field \(B=10T\) is switched on and the ring is rotated at constant angular velocity \(\omega \). Find the maximum \(\omega \) with ehich the ring can be rotated if the strings can withstand a maximum tension of \(\frac { { 3T }_{ 0 } }{ 2 } \). The distance between the strings is \(D=5m\)

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