JA wire has linear density 4.0 X10-3 Kg/m
It is stretched belween two rigid supports
with a tension of 360 N. The wire resonates
at a frequency of 420 Hz and 490 Hz in
two successive modes. Find the length of
the wire.
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Suppose the wire vibrates at 350 Hz in its nth harmonic and at 420 Hz in its (n + 1)th harmonic
350s
−1
=
2L
n
μ
F
...............(i)
and 420s
−1
=
2L
(n+1)
μ
F
...................(ii)
This gives
350
420
=
n
n+1
or n = 5
Putting the value in (i)
350=
2 l
5
10
−3
90
⇒350=
2 l
5
×300⇒ l=
700
1500
=
7
15
m=2.1m
Explanation:
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