Two uniform strings of mass per unit length \( \mu \) and \( 4\mu \), and length \( L \) and \( 2L \), respectively, are joined at point \( O \), and tied at two fixed ends \( P \) and \( Q \), as shown in the figure. The strings are under a uniform tension \( T \). If we define the frequency \( \nu_{0}=\dfrac{1}{2L}\sqrt{\dfrac{T}{\mu}} \), which of the following statement(s) is(are) correct?
