Two wires are kept tight between the same pair of support. The tensions in the wires are in the ratio 2 : 1, the radii are in the ratio 3 : 1 and the densities are in the ratio 1 : 2. The ratio of their fundamental frequencies is

A transverse wave is represented by the equation

\[ y= y_{0} sin\frac{2\Pi}{\lambda}(vt-x)\] 

For what value of λ , the maximum particle velocity equal to two times the wave velocity