Two wires of radii \( r \) and \( 2 r \) are welded together end to end. The combination is used...

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Two wires of radii \( r \) and \( 2 r \) are welded together end to end. The combination is used as a sonometer wire and is kept under a tension \( T \). The welded point lies midway between the bridges. The ratio of the number of loops formed in the wires, such that the joint is a node when the stationary waves are set up in the wire is
(1) \( 2 / 3 \)
(2) \( 1 / 3 \)
(3) \( 1 / 4 \)
(4) \( 1 / 2 \)
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