A sound source emits sound waves in a uniform medium. If energy density is $E$ and maximum speed of the particles of the medium is ${v_{\max }}.$The plot between $E$ and ${v_{\max }}$ is best represented by
Medium
Download our app for free and get started
(c)Energy density $(E)$ $ = \frac{I}{v} = 2{\pi ^2}\rho {n^2}{A^2}$
${v_{\max }} = \omega A = 2\pi nA$==> $E \propto {({v_{\max }})^2}$
i.e., graph between $E$ and ${v_{\max }}$ will be a parabola symmetrical about $E$ axis.
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A tuning fork of frequency $480\, Hz$ is used in an experiment for measuring speed of sound $(\nu )$ in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, ${\ell _1} = 30\,cm$ and ${\ell _2} = 70\,cm$. Then $\nu$ is equal to ..... $ms^{-1}$
An engine moving away from a vertical cliff blows a horn at a frequency $f$. Its speed is $0.5 \%$ of the speed of sound in air. The frequency of the reflected sound received at the engine is ............ $f$
A vibrating string of certain length $l$ under a tension $T$ resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length $75\, cm$ inside a tube closed at one end. The string also generates $4\, beats$ per second when excited along with a tuning fork of frequency $n$. Now when the tension of the string is slightly increased the number of beats reduces to $2\, per second$. Assuming the velocity of sound in air to be $340\, m/s$, the frequency $n$ of the tuning fork in $Hz$ is
$Assertion :$ When a beetle moves along the sand within a few tens of centimeters of a sand scorpion, the scorpion immediately turns towards the beetle and dashes towards it
$Reason :$ When a beetle disturbs the sand, it sends pulses along the sand's surface. One set of pulses is longitudinal while the other set is transverse.
The fundamental frequency of a closed pipe is $220 Hz$. If $\frac{1}{4}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is ..... $Hz$
A tuning fork of frequency $480 Hz$ produces $10$ beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces lesser beats per second than before ..... $Hz$
Speed of sound in mercury at a certain temperature is $1450 \,m/s$. Given the density of mercury as $13.6 × 10^3 kg / m^3$, the bulk modulus for mercury is