Sound WavesHard
Question
A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridge when a mass 9 kg is suspended from the wire. When this mass is replaced by mass M. The wire resonates with the same tuning fork forming three antibodies for the same positions of the bridge. The value of M is
Options
A.25 kg
B.5 kg
C.12.5 kg
D.1/25 kg
Solution
Let f0 = frequency of tuning fork
Then,
(μ = mass perunit length of wire)
Solving this, we get M = 25 kg
In the first case, frequency corresponds to fifth harmonicwhile in the second case is corresponds to third harmonic.
Then,
(μ = mass perunit length of wire) Solving this, we get M = 25 kg
In the first case, frequency corresponds to fifth harmonicwhile in the second case is corresponds to third harmonic.
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