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`(g)/(2) m//s``(2g)/(3)m//s``sqrt((3g)/(2))m//s`will have minimum value `(3)/(8)m`

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CSolution :

`T=mg sin theta=(mv^(2))/(R)` <br> `rArr 3mg-mg sin 30^(@)` <br> `=(m.(u_(0)^(2)+2glsin 30^(@)))/(l)` <br> `:. u_(0)=sqrt(3g//2)` <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/RES_PHY_DPP_81_XI_E01_644_S01.png" width="80%">