A wire of length $2\mathrm{L},$ is made by joining two wires $\mathrm{A}$ and $\mathrm{B}$ of same length but different radii $\mathrm{r}$ and $2\mathrm{r}$ and made of the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. If the number of antinodes in wire $\mathrm{A}$ is $\mathrm{p}$ and that in $\mathrm{B}$ is $\mathrm{q}$ then ratio $\mathrm{p}:\mathrm{q}$ is:

• A

  $3\mathrm{ }:5$
• B

  $4\mathrm{ }:9$
• C

  $1\mathrm{ }:4$
• Correct answer
  D

  $1\mathrm{ }:2$

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