Tension of a stretched string is increased by 69% . In order to keep its frequency of vibration cons

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14.Waves and Sound

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The tension of a stretched string is increased by $69\%$. In order to keep its frequency of vibration constant, its length must be increased by .... $\%$

$20$

$30$

$\sqrt {69}$

$69$

Solution

(b)$n \propto \frac{{\sqrt T }}{l}$$ \Rightarrow l \propto \sqrt T $(As $n$= constant)
==>$\frac{{{l_2}}}{{{l_1}}} = \sqrt {\frac{{{T_2}}}{{{T_1}}}} = {l_1}\sqrt {\frac{{169}}{{100}}} \Rightarrow {l_2} = 1.3{l_1} = {l_1} + 30\% $ of ${l_1}$

Standard 11

Physics

A wire of density $9 \times 10^3 kg /m^3$ is stretched between two clamps $1 m$ apart and is subjected to an extension of $4.9 \times 10^{-4} m$. The lowest frequency of transverse vibration in the wire is ….. $Hz$ ($Y = 9 \times 10^{10} N / m^2$)

hard

A tuning fork vibrating with a sonometer having $20\,cm$ wire produces $5$ beats per sec. The beat frequency does not change if the length of the wire is changed to $21\,cm$. The frequency of the tuning fork must be ….. $Hz$

medium

A tunning fork produces $5\, beats/sec$ when the length of a sonometer wire is either $1\, m$ or $1.05\, m$. Calculate the frequency of tunning fork …. $Hz$

medium

A sonometer wire is vibrating in resonance with a tuning fork. Keeping the tension applied same, the length of the wire is doubled. Under what conditions would the tuning fork still be is resonance with the wire ?

medium

The frequency of a sonometer wire is $f$, but when the weights producing the tensions are completely immersed in water the frequency becomes $f/2$ and on immersing the weights in a certain liquid the frequency becomes $f/3$. The specific gravity of the liquid is:

normal

The tension of a stretched string is increased by $69\%$. In order to keep its frequency of vibration constant, its length must be increased by .... $\%$

Solution

Similar Questions

A wire of density $9 \times 10^3 kg /m^3$ is stretched between two clamps $1 m$ apart and is subjected to an extension of $4.9 \times 10^{-4} m$. The lowest frequency of transverse vibration in the wire is ….. $Hz$ ($Y = 9 \times 10^{10} N / m^2$)

A tuning fork vibrating with a sonometer having $20\,cm$ wire produces $5$ beats per sec. The beat frequency does not change if the length of the wire is changed to $21\,cm$. The frequency of the tuning fork must be ….. $Hz$

A tunning fork produces $5\, beats/sec$ when the length of a sonometer wire is either $1\, m$ or $1.05\, m$. Calculate the frequency of tunning fork …. $Hz$

A sonometer wire is vibrating in resonance with a tuning fork. Keeping the tension applied same, the length of the wire is doubled. Under what conditions would the tuning fork still be is resonance with the wire ?

The frequency of a sonometer wire is $f$, but when the weights producing the tensions are completely immersed in water the frequency becomes $f/2$ and on immersing the weights in a certain liquid the frequency becomes $f/3$. The specific gravity of the liquid is:

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