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Two wires of radii r and 2r are welded t...

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

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