When a sound wave of frequency $300 Hz$ passes through a medium the maximum displacement of a particle of the medium is $0.1 cm$. The maximum velocity of the particle is equal to
Easy
Download our app for free and get started
(a) ${v_{\max }} = a\omega = a \times 2\pi n = 0.1 \times 2\pi \times 300 = 60\pi \,cm/\sec $
Download our appand 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.*
Similar Questions
- 1Two trains are moving towards each other at speeds of $20 m/s$ and $15 m/s$ relative to the ground. The first train sounds a whistle of frequency $600 Hz.$ the frequency of the whistle heard by a passenger in the second train before the train meets is ...... $Hz$ (the speed of sound in air is $340\, m/s$)View Solution
- 2Fundamental frequency of an open pipe of length $0.5 m$ is equal to the frequency of the first overtone of a closed pipe of length $l$. The value of $l_c$ is $(m)$View Solution
- 3View SolutionThe minimum audible wavelength at room temperature is about
- 4Equation of travelling wave on a stretched string of linear density $5\,g/m$ is $y = 0.03\,sin\,(450\,t -9x)$ where distance and time are measured in $SI$ united. The tension in the string is ... $N$View Solution
- 5A tuning fork of frequency $392 Hz,$ resonates with $50 cm $ length of a string under tension ($T$). If length of the string is decreased by $2\%$, keeping the tension constant, the number of beats heard when the string and the tuning fork made to vibrate simultaneously isView Solution
- 6The equation of the progressive wave, where $t$ is the time in second, $x$ is the distance in metre is $y=A \cos 240\left(t-\frac{x}{12}\right)$. The phase difference (in $SI$ units) between two positions $0.5 \,m$ apart is ...........View Solution
- 7View SolutionThe tones that are separated by three octaves have a frequency ratio of
- 8A stationary source emits sound of frequency $\mathrm{f}_0=492 \mathrm{~Hz}$. The sound is reflected by a large car approaching the source with a speed of $2 \mathrm{~ms}^{-1}$. The reflected signal is received by the soruce and superposed with the original. What will be the beat frequency of the resulting signal in $\mathrm{Hz}$ ? (Given that the speed of sound in air is $330 \mathrm{~ms}^{-1}$ and the car reflects the sound at the frequency it has received).View Solution
- 9Find the fundamental frequency of a closed pipe, if the length of the air column is $42 m$. (speed of sound in air $= 332 \,m/sec$) .... $Hz$View Solution
- 10A $20 \mathrm{~cm}$ long string, having a mass of $1.0 \mathrm{~g}$, is fixed at both the ends. The tension in the string is $0.5 \mathrm{~N}$. The string is set into vibrations using an external vibrator of frequency $100 \mathrm{~Hz}$. Find the separation (in $cm$) between the successive nodes on the string.View Solution