Question

The string of a guitar is vibrating at a frequency of 200 hertz. Calculate its time

period?​

Answer 1

Answer:

Explanation:

ANSWER

f=  

2L

1

​  

 

μ

T

​  

 

​  

 

where f is frequency, T is Tension, L = length and μ is constant

∴f∝  

L

T

​  

 

​  

 

⇒  

f  

1

​  

 

f  

2

​  

 

​  

=(  

T  

1

​  

 

T  

2

​  

 

​  

 

​  

)(  

L  

2

​  

 

L  

1

​  

 

​  

)  

Squaring on both sides and rearranging we get

⇒  

T  

1

​  

 

T  

2

​  

 

​  

=  

(f  

1

​  

L  

1

​  

)  

2

 

(f  

2

​  

L  

2

​  

)  

2

 

​  

 

L  

2

​  

=2L  

1

​  

,f  

1

​  

=200Hz,f  

2

​  

=300Hz

Substituting above values we get  

T  

1

​  

 

T  

2

​  

 

​  

=  

1

9

​