Q24 / 117 · NTA Abhyas (JEE Main) 2020 · Physics · Waves and Sound

A composite wire of length 2L 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 2r 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

Figure

  • Correct answer
    A
    1:2
  • B
    3:5
  • C
    1:4
  • D
    4:9

Solution

f1=n2ℓTρA;  f2=m2ℓTρ4A
Given f1=f2
f1f2=nm×2

nm=12

Hence, the correct answer is option: 'A'.

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