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A string of mass $m$ and length $l$ hangs from ceiling as shown in the figure. Wave in string moves upward. $v_A$ and $v_B$ are the speeds of wave at $A$ and $B$ respectively. Then $v_B$ is
A point source emits sound equally in all directions in a non-absorbing medium, Two points $P$ and $Q $ are at distance of $2m$ and $3m$ respectively from the source. The ratio of the intensities of the waves at $P$ and $ Q$ is
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 whistle emitting a loud sound of frequency $540 \,Hz$ is whirled in a horizontal circle of radius $2 \,m$ and at a constant angular speed of $15 \,rad / s$. The speed of sound is $330 \,m / s$. The ratio of the highest to the lowest frequency heard by a listener standing at rest at a large distance from the centre of the circle is
Two sound waves of wavelength ${\lambda _1}$ and ${\lambda _2}$ $\left( {{\lambda _2} > {\lambda _1}} \right)$ produce $n\, beats/s$, the speed of sound is
Calculate the frequency of the second harmonic formed on a string of length $0.5 m$ and mass $2 × 10^{-4}$ kg when stretched with a tension of $20 N$ .... $Hz$
An engine whistling at a constant frequency $n_0$ and moving with a constant velocity goes past a stationary observer. As the engine crosses him, the frequency of the sound heard by him changes by a factor $f$. The actual difference in the frequencies of the sound heard by him before and after the engine crosses him is