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Standing waves are generated on a sonometer string loaded with a cylindrical body. If the cylinder is completely immersed in water, the length of the loops changes by a factor of $2.2$ . The specific gravity of the material of the cylinder is
A man is watching two trains, one leaving and the other coming with equal speed of $4\,m/s$. If they sound their whistles each of frequency $240\, Hz$, the number of beats per sec heard by man will be equal to (velocity of sound in air $= 320\, m/s$)
The displacement $y$ of a wave travelling in the x-direction is given by $y = {10^{ - 4}}\sin \,\,\left( {600t - 2x + \frac{\pi }{3}} \right)$ metres, where $x$ is expressed in metres and $t$ in seconds. The speed of the wave-motion, in ..... $ms^{-1}$, is
A submarine $(A)$ travelling at $18\, km/hr$ is being chased along the line of its velocity by another submarine $(B)$ travelling at $27\, km/hr$. $B$ sends a sonar signal of $500\, Hz$ to detect $A$ and receives a reflected sound of frequency $v$. The value of $v$ is close to ... $Hz$ (Speed of sound in water $= 1500\, ms^{-1}$)
A granite rod of $60\ cm$ length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is $2.7 \times 10^3 $ $kg/m^3$ and its Young's modulus is $9.27 \times 10^{10}$ $Pa$ What will be the fundamental frequency of the longitudinal vibrations .... $kHz$ ?
A standing wave in a pipe with a length $L=1.2 \,m$ is described by $y(x, t)=y_0 \sin [(2 \pi / L) x] \sin [(2 \pi / L) x+\pi / 4]$ based on above information, which one of the following statement is incorrect? (Speed of sound in air is $300 \,ms ^{-1}$ )
The disc of a siren containing $60$ holes rotates at a constant speed of $360\,rpm$. The emitted sound is in unison with a tuning fork of frequency .... $Hz$