Stationary waves of frequency $300\, Hz$ are formed in a medium in which the velocity of sound is $1200$ metre/sec. The distance between a node and the neighbouring antinode is ... $m$
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Two vibrating tuning forks produce progressive waves given by ${y_1} = 4\,\sin \,\left( {500\pi t} \right)$ and ${y_2} = 2\,\sin \,\left( {506\pi t} \right)$. These tuning forks are held near the ear of a person. The person will hear $\alpha \, beats/s$ with intensity ratio between maxima and minima equal to $\beta $. Find the value of $\beta - \alpha $
Two identical wires have the same fundamental frequency of $400 Hz$. when kept under the same tension. If the tension in one wire is increased by $2\%$ the number of beats produced will be
A person driving car at a constant speed of $15\,m / s$ is approaching a vertical wall. The person notices a change of $40\,Hz$ in the frequency of his car's horn upon reflection from the wall. The frequency of horn is ............ $Hz$. (Given : Speed of sound : $330\,m / s$ )
The stationary wave produced on a string is represented by the equation $y = 5\cos (\pi x/3)\sin 40\pi \,t$. Where $x$ and $y$ are in cm and $t$ is in seconds. The distance between consecutive nodes is .... $cm$
Two speakers connected to the same source of fixed frequency are placed $2.0 m $ apart in a box. A sensitive microphone placed at a distance of $4.0m$ from their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave 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 wave is represented by the equation $y = 7\sin \{ \pi (2t - 2x)\} $ where $x$ is in metres and $t$ in seconds. The velocity of the wave is ..... $m/s$