When a longitudinal wave propagates through a medium, the particles of the medium execute simple harmonic oscillations about their mean positions. These oscillations of a particle are characterised by an invariant
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(c)Total energy is conserved.
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A source of sound of frequency $450$ cycles/sec is moving towards a stationary observer with $34\, m/sec$ speed. If the speed of sound is $340\, m/sec,$ then the apparent frequency will be ..... $cycles/sec$
Three waves of equal frequency having amplitudes $10\, \mu m, 4\, \mu m$ and $7\, \mu m$ arrive at a given point with successive phase difference of $\pi/2$. The amplitude of the resulting wave in $\mu m$ is given by
A string is rigidly tied at two ends and its equation of vibration is given by $y = \cos 2\pi \,t\sin \sin \pi x.$ Then minimum length of string is .... $m$
A tuning fork sounded together with a tuning fork of frequency $256$ emits two beats. On loading the tuning fork of frequency $256,$ the number of beats heard are $1$ per second. The frequency of tuning fork is
On producing the waves of frequency $1000 Hz$ in a Kundt's tube, the total distance between $6$ successive nodes is $ 85 cm.$ Speed of sound in the gas filled in the tube is ..... $m/s$
The speed of sound in air at a given temperature is $350 m/s$. An engine blows whistle at a frequency of $1200 \,cps$. It is approaching the observer with velocity $50 m/s$. The apparent frequency in cps heard by the observer will be
A wire having a linear mass density $9.0 \times 10^{-4} \;{kg} / {m}$ is stretched between two rigid supports with a tension of $900\; {N}$. The wire resonates at a frequency of $500\;{Hz}$. The next higher frequency at which the same wire resonates is $550\; {Hz}$. The length of the wire is $...... {m}$
An organ pipe $P_1$, closed at one end vibrating in its first harmonic and another pipe $P_2$, open at both ends vibrating in its third harmonic, are in resonance with a given tuning fork, The ratio of the lengths of $P_1$ and $P_2$ is