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Two wires and have the same radius and respective, densities and , such that . They are joined together at the point , as shown in the figure. The combination is used as a sonometer wire and kept under tension . The point is midway between the two bridges. When a stationary wave is set up in the composite wire, the joint is found to be a node. The ratio of the number of antinodes formed in to is

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The correct answer is:
Let and be the number of antinodes of both wires.
Fundamental frequency remains the same for both wires.
From the above equation, we have
The ratio of antinodes is .
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