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Two strings 1 and 2 are taut between two...

Two strings 1 and 2 are taut between two fixed supports (as shown in figure) such that the tension in both strings is same. Mass per unit length of 2 is more than that of 1. Explain which string is denser for a transverse travelling wave.
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Text Solution

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Speed of a transverse wave on a string
`v=sqrt((T)/(mu))`
`vprop(1)/(sqrt(mu))`
Now, `mu_(2) gt mu_(1)` (given)
`thereforev_(2) lt v_(1)`
`because` Medium 2 is denser and medium 1 is rarer.
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