Question

(1) 174 (2) 1/2 (3) 213 14) 324
29. A sonometre wire is in resonance with a
tuning fork. Keeping the same tension, the
length of the wire between the bridges is
doubled. It can still be in resonance with
the tuning fork provided it vibrates in
(1)2 segments
(2)3 segments
(3)4 segments
(4) 6 segments​

Answer 1

I’m probably not the right person to answer this question but since you don’t have any responses yet, hopefully, I can point you in the right direction. I should also mention I don’t have a sonometer handy to test this out on.

On my guitar, strings ring sympathetically when they match in some part of the harmonic series. So, if I play my high E string, that note is in the harmonic series of the low E and low A strings and the same pitch of the high E will sound on those two bass strings. If I play an F on that same string, the same two bass strings are silent.

So, I’d reason that your pitch from the tuning fork would cause resonance in the sonometer string as long as the string has the tuning fork note in its harmonic series. So if the tuning fork is an A, then the string should resonate if the string is tuned to A, D, F, B etc. The resonance should be fainter or stronger depending on where in the series the A would fall.

It seems reasonable to me that if you double the length with the same tension the pitch should be an octave lower. That’s what happens if I hold the 12th fret on my guitar and double the length by sounding the open string. The tension of the string doesn’t change.

Answer 2

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