A metal wire of linear mass density of 9.8, g/m is stretched with a tension of 10 kg weight between

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14.Waves and Sound

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A metal wire of linear mass density of $9.8\, g/m$ is stretched with a tension of $10 kg$ weight between two rigid supports $1$ metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency $n.$ The frequency $n$ of the alternating source is ..... $Hz$

$25$

$50$

$100$

$200$

(AIEEE-2003)

Solution

(b) In condition of resonance, frequency of $a.c.$ will be equal to natural frequency of wire
$n = \frac{1}{{2l}}\sqrt {\frac{T}{m}} = \frac{1}{{2 \times 1}}\sqrt {\frac{{10 \times 9.8}}{{9.8 \times {{10}^{ – 3}}}}} = \frac{{100}}{2} = 50$$Hz$

Standard 11

Physics

Two open organ pipes of fundamental frequencies $n_{1}$ and $n_{2}$ are joined in series. The fundamental frequecny of the new pipe so obtained will be

medium

(NEET-2017)

The transverse displacement in a streched string is given by
$y = 0.06 \sin \, \left( {\frac{{2\pi }}{3}x} \right)\cos \,(120\pi t)$

where $x$ and $y$ are in $m$ and $t$ is in $s$. The length of the string is $1.5\, m$ and its mass is $3.0 \times 10^{-2} \,kg$, then tension in string is ….. $N$

medium

A device used for investigating the vibration of a fixed string or wire is

easy

A string fixed at both ends vibrates in three loops. The wave length is $10\, cm$ . The length of string is …. $cm$

medium

A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of $9 kg$ is suspended from the wire. When this mass is replaced by a mass $M$, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of $M$ is … $kg$

hard

(IIT-2002)

Solution

Similar Questions

Two open organ pipes of fundamental frequencies $n_{1}$ and $n_{2}$ are joined in series. The fundamental frequecny of the new pipe so obtained will be

The transverse displacement in a streched string is given by $y = 0.06 \sin \, \left( {\frac{{2\pi }}{3}x} \right)\cos \,(120\pi t)$ where $x$ and $y$ are in $m$ and $t$ is in $s$. The length of the string is $1.5\, m$ and its mass is $3.0 \times 10^{-2} \,kg$, then tension in string is ….. $N$

A device used for investigating the vibration of a fixed string or wire is

A string fixed at both ends vibrates in three loops. The wave length is $10\, cm$ . The length of string is …. $cm$

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The transverse displacement in a streched string is given by
$y = 0.06 \sin \, \left( {\frac{{2\pi }}{3}x} \right)\cos \,(120\pi t)$

where $x$ and $y$ are in $m$ and $t$ is in $s$. The length of the string is $1.5\, m$ and its mass is $3.0 \times 10^{-2} \,kg$, then tension in string is ….. $N$