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A composite wire of length 2 L is made by joining two different wires A and B having the same length, made of the same material but of different radii r and 2 r respectively. The composite wire is vibrating at such a frequency, that the junction of the two wires form a node. If the number of antinodes in the wire A is p and that in the wire B is q , then the ratio p : q is

Options

  1. A1:2
  2. B3:5
  3. C1:4
  4. D4:9

Correct answer

A. 1:2

Step-by-step solution

f 1 = n 2 ℓ T ρA ; f 2 = m 2 ℓ T ρ 4 A Given f 1 = f 2 f 1 f 2 = n m × 2 n m = 1 2

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