A uniform rope of mass m and length L hangs from a ceiling. The speed of transverse waves in the rope at a point at a distance x from the lower end of the rope is
1
\(\sqrt {2gx}\,\)
2
\(\sqrt{ \dfrac{gx}{2}}\,\)
3
\(2 \sqrt {gx}\,\)
4
\(\sqrt {gx}\,\)