A uniform string of length \(L\) and mass \(M\) is fixed at both ends while it is subject to a tension \(T\). It can vibrate at frequencies \((v)\) given by the formula (where \(n=1,2,3, \ldots .\).)
(A) \(v=\frac{n}{2} \sqrt{\frac{T}{M L}}\)
(B) \(v=\frac{n}{2 L} \sqrt{\frac{T}{M}}\)
(C) \(v=\frac{1}{2 n} \sqrt{\frac{T}{M L}}\)
(D) \(v=\frac{n}{2} \sqrt{\frac{T L}{M}}\)