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Two wires of same material of radii 2r a...

Two wires of same material of radii 2r and r are welded together end to end The combination is used as a sonometer wire and is kept under tension T. The welded point lies midway between the bridges. What wil be the ratio of the number of loops formed in the wires, such that the joint is node when the stationary waves are set up in the wire?

A

`2 : 3`

B

`1 : 2`

C

`2 : 1`

D

`5 :4`

Text Solution

Verified by Experts

The correct Answer is:
B
Frequency of pth harmonic is n. `n = (p//2lr)`
`sqrt((T//pirho))`. Since n, l , T and p are the same.
then `p//r = a` constant `p prop r. p_(1)//p_(2)= r//2r = 1 : 2`
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