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 ?

Answer

0.25m

Explanation

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`