Q.

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

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a

1 : 2 

b

4 : 9

c

1 : 4

d

3 : 5

answer is D.

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Detailed Solution

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Number of antinodes = no.of loops = no.of harmonic
p 2L T σπ r 2 = q 2L T σπ (2r) 2 p q = 1 2    
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