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Three resonant frequencies of a string a...

Three resonant frequencies of a string are 90, 150 and 210 Hz. (a) Find the highest possible fundamental frequency of vibration of this string. (b) Which harmonics of the fundamental are the given frequencies ? (c) Which overtones are these frequencies ? (d) If the length of the string is 80 cm, what would be the speed of a transverse wave on this string ?

A

`45 m//s`

B

`75 m//s`

C

`48 m//s`

D

`80 m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
These are multiple of 30 Hz. Hence, fundamental
frequency
`f_(0) = 30Hz`
Now, `f_(0) = v/(2l)`
`:. v=2f_(0)l `
`=2xx 30 xx 0.8`
`=48 m//s` .
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