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A composite wire of length 2L is made by...

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

A

`1:2`

B

`3:5`

C

`1:4 `

D

`4:9`

Text Solution

Verified by Experts

The correct Answer is:
A
`f_1=n/(2l)sqrt(T/(rhoA)), f_2=m/(2l)sqrt((T)/(rho4A))`
Given `f_1 = f_2`
`f_1/(f_2) = n/m xx 2 implies n/m =1/2`
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