If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is :
(1) 1 : $\sqrt2$
(2) 1 : 2
(3) 1 : 1
(4) $\sqrt2$ : 1
(1) 1 : $\sqrt2$
(2) 1 : 2
(3) 1 : 1
(4) $\sqrt2$ : 1