A transverse wave is represented by $y=2 \sin$ $(\omega t - kx ) cm$. The value of wavelength (in $cm$ ) for which the wave velocity becomes equal to the maximum particle velocity, will be.
JEE MAIN 2022, Medium
Download our app for free and get started
$y=2 \sin (\omega t-k x)$
Maximum particle velocity $= A \omega$
Wave velocity $=\frac{\omega}{ k }$
$\frac{\omega}{ k }= A \omega$
$k =\frac{1}{ A }=\frac{2 \pi}{\lambda}$
$\lambda =2 \pi A$
$=4 \pi\,cm$
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
- 1View SolutionThe note"Saa" on the Sarod and the Sitar have the same pitch. The property of sound that is most important in distinguishing between the two instruments is
- 2A source of sound emits sound waves at frequency $f_0$. It is moving towards an observer with fixed speed $v_s$ ($v_s < v$, where $v$ is the speed of sound in air). If the observer were to move towards the source with speed $v_0$, one of the following two graphs ($A$ and $B$) will given the correct variation of the frequency $f$ heard by the observer as $v_0$ is changed The variation of $f$ with $v_0$ is given correctly byView Solution
- 3View SolutionWhich of the following statements is false
- 4A wave travelling in the $+ve$ $x-$ direction having displacement along $y-$ direction as $1\,\, m,$ wavelength $2\pi\,\, m$ and frequency of $\frac{1}{\pi}$ $Hz$ is represented byView Solution
- 5View SolutionDoppler's effect will not be applicable when the velocity of sound source is
- 6A tuning fork $A$ of unknown frequency produces $5\, beats/s$ with a fork of known frequency $340\, Hz$. When fork $A$ is filed, the beat frequency decreases to $2\, beats/s.$ What is the frequency of fork $A$ ? (in $Hz$)View Solution
- 7View SolutionIn the musical octave ‘Sa’, ‘Re’, ‘Ga’
- 8An unknown frequency $x$ produces $8$ beats per seconds with a frequency of $250 Hz$ and $12$ beats with $270 Hz$ source, then $x$ is .... $Hz$View Solution
- 9A closed organ pipe of length $l$ is sounded together with another closed organ pipe of length $l + x (x << l)$ both in fundamental mode. If $v$ = speed of sound, the beat frequency heard isView Solution
- 10A plane sound waves passes from medium $1$ into medium $2$. The speed of sound in medium $1$ is $200\,m/s$ and in medium $2$ is $100 \,m/s$. The ratio of amplitude of the transmitted wave to that of incident wave is :-View Solution