Question

The time periodofparticles of a medium is 2 x 10−3s and the wave length of corresponding wave is 3m. Find the speed of the wave.

Answer 1

Answer:Speed of wave in the string isv=  

u

T

​  

 

​  

 where T=tension and u = mass per length

So,

fundamental frequencyf=  

2L

n

​  

 

μ

T

​  

 

​  

 

where n is the number of harmonics.Number of overtones = (n-1)

Number of nodes = n+1

Number of antinodes = n

fundamental frequency= f=  

2L

1

​  

 

μ

T

​  

 

​  

 

Note fundamental wavelength does not change as Length of the string does not change.

Here, T and f varies, new T=1.21T and new f=f +15

so, f+15=1.1f

This gives f=150Hz

so, new velocity=1.1v, which means velocity increases by 10%.