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  • Fundemental frequency of sonometer wire is , if the tension is made 3 times and length and diameter are also increased 3 times, what

Fundemental frequency of sonometer wire is \mathrm{n }, if the tension is made 3 times and length and diameter are also increased 3 times, what is the new frequency?
 

Option: 1

\mathrm{\frac{n}{3 \sqrt{3}}}

 


Option: 2

\mathrm{3 n}
 


Option: 3

\mathrm{\sqrt{3} n}
 


Option: 4

\mathrm{\frac{n}{\sqrt{3}}}


Answers (1)

best_answer

fund mental frequency, \mathrm{n=\frac{v}{2 \: l}=\frac{\sqrt{T / \mu}}{2 l}}

\mathrm{ n=\frac{\sqrt{T / \rho\: s}}{2 l}=\frac{\sqrt{T / \rho \pi r^2}}{2 l} }

\mathrm{\therefore \quad n \propto \frac{\sqrt{T}}{2 l}}

Given that tension diameter and length all are made 3 times.

\mathrm{\therefore} \mathrm{n} will become \mathrm{\frac{1}{3\sqrt3}} times.

Hence option 1 is correct.


 

Posted by

Shailly goel

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