1.

A transverse wave is produced on a stretched string 0.9 m long and fixed at its ends. Find the speed of the transverse wave, when the string vibrates while emitting second overtone of frequency 324 Hz.

Answer» Given : Length of string,
`l=0.9 m`
Frequency of second overtone
`=(2+1)n=324Hz.`
`3n=324Hz`
`n=108Hz`
Now, `lambda = 2l`
`n=(v)/(lambda)`
`rArr v=n lambda = 2nl`
Speed of transverse wave (v)
`=2xx108 xx0.9`
`=194.4 m//s.`


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