Two wires W1 and W2 have the same radius r and respective densities $\rho $1 and $\rho $2 such that Ï2 = 4$\rho $1 . They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept under tension T. The point O 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 W1 to W2 is :

Question

Two wires W₁ and W₂ have the same radius r and respective densities $\rho $₁ and $\rho $₂ such that Ï₂ = 4$\rho $₁ . They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept under tension T. The point O 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 W₁ to W₂ is :

1 : 1

1 : 2

1 : 3

4 : 1

Solution

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