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.
Create a free account to view solution
View Solution FreeMore Sound Waves Questions
A sound absorber attenuates the sound level by 20 dB. The intensity decreases by a factor of : -...A wave travelling along the x-axis is described by the equation y(x, t) = 0.005 cos (αx - βt). If the waveleng...At a point, beat frequency of n Hz is observed. It means that :...When an open organ pipe resonates in its fundamental mode then at the centre of the pipe : -...A wave pulse on a string has the dimension shown in figure. The waves speed is v = 1 cm/s. If point O is a free end. The...