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A wire of length 2L, is made by joining two wires A and B of same length but different radii r and 2r 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 A is p and that in B is q then the ratio p : q is -

(1)  3 : 5 (2)  4 : 9 (3)  1 : 2 (4)  1 : 4 

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Correct option  (3) 1 : 2


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