A wire of length \( 2 L \), is made by joining two wires \( A \) an...

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A wire of length \( 2 L \), is made by joining two wires \( A \) and \( B \) of same length but different radii \( r \) and \( 2 r \) and made of
\( \mathrm{P} \) the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. If the number of W antinodes in wire \( A \) is \( P \) and that in \( B \) is \( q \) then the ratio \( p: q \) is
(a) \( 1: 2 \)
[JEE (Main) 2019]
(c) \( 1: 4 \)
(b) \( 3: 5 \)
(d) \( 4: 9 \)
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