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A wire, fixed at both ends is seen to vi...

A wire, fixed at both ends is seen to vibrate at a resonant frequency of 240 Hz and also at 320 Hz. (a) What could be the maximum value of the fundamental frequency ? (b) If transverse waves can travel on this string at a speed of 40 m s t, what is its length ?

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The correct Answer is:
0.25m
This wire makes a resonant frequency of 240 Hz and 320 Hz.
The fundamental frequency of the wire must be factor of 240 Hz and 320 Hz.
a So, the maximum value of fudamental frequency is 80 Hz.
b. Wave speed
`v=40 m/s`
`rarr Lxx80=(1/2)xx40`
`rarr L=1/4m=0.25m`
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