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  • Stuck here, help me understand: A sonometer wire when vibrated in full length has frequency n. Now divided into segments of l1, l2, l3, ... when vibrated these have frequencies n1, n2,n3, ... Correct relation is

A sonometer wire when vibrated in full length has frequency n. Now divided into segments of l1, l2, l3, ... when vibrated these have frequencies n1, n2, n3, ... Correct relation is 

  • Option 1)

    n = n_{1} + n_{2} + n_{3} + ...

  • Option 2)

    n^{2} = n_{1}^{2} + n_{2}^{2} + n_{3}^{2} + ...

  • Option 3)

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

  • Option 4)

    \frac{1}{\sqrt{n}} = \frac{1}{\sqrt{n_{1}}} + \frac{1}{\sqrt{n_{2}}}+ \frac{1}{\sqrt{n_{3}}} + ...

 

Answers (1)

best_answer

nl=k= constant

\frac{k}{n}=\frac{k}{n_{1}}+ \frac{k}{n_{2}}+....\Rightarrow \frac{1}{n}= \frac{1}{n_{1}}+\frac{1}{n_{2}}...

 

Closed organ pipe -

A closed organ pipe is a cylindrical tube having an air colume with one end closed.

- wherein

Condition of constructive interference

l=\left ( 2n+1 \right )\frac{\lambda }{4}    

 

 


Option 1)

n = n_{1} + n_{2} + n_{3} + ...

This is incorrect

Option 2)

n^{2} = n_{1}^{2} + n_{2}^{2} + n_{3}^{2} + ...

This is incorrect

Option 3)

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

This is correct

Option 4)

\frac{1}{\sqrt{n}} = \frac{1}{\sqrt{n_{1}}} + \frac{1}{\sqrt{n_{2}}}+ \frac{1}{\sqrt{n_{3}}} + ...

This is incorrect

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Aadil

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