If n1, nand n3 are the fundamental frequencies three segments into which a string is divided, then the original fundamental frequency n of the string is given by:

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

 

Answers (1)

As we discussed in

 

v\:=\:\frac{1}{2l}\sqrt{\frac{T}{\mu}}                             v\propto \frac{1}{l} \:or \:vl=K

 

v_{1}l_{1}\:=K\:\:\:\:\:\:\:\:\:[\because v=n]

v_{2}l_{2}\:=\:K\:\:\:\:\:v_{3}l_{3}\:=\:K

l=l_{1}+l_{2}+l_{3}\:\:\:\:\:=\frac{K}{n}\:=\:\frac{K}{n_{1}}+\frac{K}{n_{2}}+\frac{K}{n_{3}}

or \frac{1}{n}=\frac{1}{n_{1}}+\frac{1}{n_{2}}+\frac{1}{n_{3}}

 


Option 1)

This option is correct.

Option 2)

This option is incorrect.

Option 3)

This option is incorrect.

Option 4)

This option is incorrect.

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