A transverse harmonic wave on a string is given by $y(x, t)=5 \sin (6 t+0.003 x)$ where $x$ and $y$ are in $cm$ and $t$ in $sec$. The wave velocity is $...........\,ms ^{-1}$.
JEE MAIN 2023, Medium
Download our app for free and get started
$y(x, t)=5 \sin (6 t+0.003 x)$
$k =0.003\,cm ^{-1}, \quad \omega=6\,rad / s , v =\frac{\omega}{ k }$
$\Rightarrow \frac{6}{0.003 \times 10^2}=20\,ms ^{-1}$
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
- 1A wire of variable mass per unit length $\mu = \mu _0x$ , is hanging from the ceiling as shown in figure. The length of wire is $l_0$ . A small transverse disturbance is produced at its lower end. Find the time after which the disturbance will reach to the other endsView Solution
- 2An observer receives waves directly from a source of sound distant $120\,m$ in a big hall. He also receives waves reflected from the mid-point of $25\,m$ high ceiling. The wavelength of sound for constructive interference to take place between two waves, must be :View Solution
- 3On producing the waves of frequency $1000 Hz$ in a Kundt's tube, the total distance between $6$ successive nodes is $ 85 cm.$ Speed of sound in the gas filled in the tube is ..... $m/s$View Solution
- 4A clamped string is oscillating in $n^{th}$ harmonic, thenView Solution
- 5$41$ forks are so arranged that each produces $5$ beats per sec when sounded with its near fork. If the frequency of last fork is double the frequency of first fork, then the frequencies of the first and last fork are respectivelyView Solution
- 6A wave pulse on a string has the dimension shown in figure. The waves speed is $v = 1 \,\,cm/s$. If point $O$ is a free end. The shape of wave at time $t = 3 \,\,s$ is :View Solution
- 7View SolutionThe particles of a medium vibrate about their mean positions whenever a wave travels through that medium. The phase difference between the vibrations of two such particles
- 8A plane wave is represented by $x = 1.2\sin (314\,t + 12.56y)$Where $x$ and $y$ are distances measured along in $x$ and $y$ direction in meters and $t$ is time in seconds. This wave hasView Solution
- 9Two sirens situated one kilometer apart are producing sound of frequency $330 Hz$. An observer starts moving from one siren to the other with a speed of $2 m/s$. If the speed of sound be $330 m/s$, what will be the beat frequency heard by the observerView Solution
- 10Four wires of identical length, diameters and of the same material are stretched on a sonometre wire. If the ratio of their tensions is $1 : 4 : 9 : 16$ then the ratio of their fundamental frequencies areView Solution