The length of a sonometer wire is 75m and density is 9× 10^3 kg/m^3 It can bear a stress - Physics - Waves

Question

The length of a sonometer wire is 75m and density is 9×
10^3 kg/m^3 It can bear a stress of 8 1 × 10^8 N/m^2 without
exceeding the elastic limit The fundamental frequency that can be
produced in the wire is
1 200Hz 2 150Hz 3 600 Hz 4 450Hz

Abhay Kumar · Accepted Answer

Let the area of the wire be ASo we can write:Stress = F/A  = T/AT = Stress(A) = 8
1 x 108 (A) Density = Mass/volume Mass = Density x Volume Mass = 9 x 103 ( Volume)= 9 x 103 ( l x A)where l is the lengthMass =  9 x 103 ( 0
75 x A)= 6
75x 103xASpeed = c = T/mass per unit length= 8
1 x 108 (A) /6 75x 103xA/0
75= 300 m/sf = c/2l = 300/1
5 = 200hz

The length of a sonometer wire is.75m and density is 9× 10^3 kg/m^3. It can bear a stress of 8.1 × 10^8 N/m^2 without exceeding the elastic limit . The fundamental frequency that can be produced in the wire is 1. 200Hz 2. 150Hz 3. 600 Hz 4. 450Hz

The length of a sonometer wire is.75m and density is 9× 10^3 kg/m^3. It can bear a stress of 8.1 × 10^8 N/m^2 without exceeding the elastic limit . The fundamental frequency that can be produced in the wire is

1. 200Hz 2. 150Hz 3. 600 Hz 4. 450Hz