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The figure represents the instantaneous picture of a longitudinal harmonic wave travelling along the negative $x$-axis. Identify the correct statement $(s)$ related to the movement of the points shown in the figure. The points moving opposite to the direction of propagation are
The power of a sound from the speaker of a radio is $20 mW$. By turning the knob of the volume control, the power of the sound is increased to $400 mW.$ The power increase in decibels as compared to the original power is .... $dB$
Two identical stringed instruments have frequency $100 Hz$. If tension in one of them is increased by $4\%$ and they are sounded together then the number of beats in one second is
A rope of length $L$ and mass $M$ hangs freely from the ceiling. If the time taken by a transverse wave to travel from the bottom to the top of the rope is $T$, then time to cover first half length is
For a certain organ pipe, the first three resonance frequencies are in the ratio of $1:3:5$ respectively. If the frequency of fifth harmonic is $405\,Hz$ and the speed of sound in air is $324 \,ms ^{-1}$ the length of the organ pipe is $..........m.$
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 source of sound $S$ is moving with the velocity of $50\,m/s$ towards a stationary observer. The observer measures the frequency of the sound as $1000\,Hz.$ What will be the apparent frequency of the source when it is moving away from the observer after crossing him ... $Hz$ ? (Take velocity of sound in air is $350\,m/s$ )