If the tension of sonometer’s wire increases four times then the fundamental frequency of the wire will increase by .... $ times$
$2$
$4$
$0.5$
None of the above
(a) $n \propto \sqrt T $
A steel rod of length $100\, cm$ is clamped at the middle. The frequency of the fundamental mode for the longitudinal vibrations of the rod is ….. $kHz$ (Speed of sound in steel $= 5\, km\, s^{-1}$)
A wave on a string is travelling and the displacement of particles on it is given by $x = A\, sin\, (2t -0.1\, x)$. Then the wavelength of the wave is
A stretched wire of length $110 cm$ is divided into three segments whose frequencies are in ratio $1 : 2 : 3$. Their lengths must be
The frequency of transverse vibrations in a stretched string is $200 Hz$. If the tension is increased four times and the length is reduced to one-fourth the original value, the frequency of vibration will be …. $Hz$
A string is clamed at both the ends and it is vibrating in its $4^{th}$ harmonic. The equation of the stationary wave is $Y =0.3\,sin\,(0.157\,x) \,cos\,(200\pi t)$. The length of the string is ….. $m$ (all quantities are in $SI$ units)
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