A transverse wave is given by $y = A\sin 2\pi \left( {\frac{t}{T} - \frac{x}{\lambda }} \right)$. The maximum particle velocity is equal to $4$ times the wave velocity when
Easy
Download our app for free and get started
(b) Given $A\omega = 4v \Rightarrow A2\pi n = 4n\lambda \Rightarrow \lambda = \frac{{\pi A}}{2}$
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 open organ pipes of fundamental frequencies $n_{1}$ and $n_{2}$ are joined in series. The fundamental frequecny of the new pipe so obtained will beView Solution
- 2A sound source is moving towards a stationary observer with $1/10$ of the speed of sound. The ratio of apparent to real frequency isView Solution
- 3Two sound sources when sounded simultaneously produce four beats in $0.25$ second. the difference in their frequencies must beView Solution
- 4View SolutionThe following phenomenon cannot be observed for sound waves
- 5One end of a string of length $L$ is tied to the ceiling of a lift accelerating upwards with an acceleration $2g$. The other end of the string is free. The linear mass density of the string varies linearly from $0$ to $\lambda$ from bottom to top.View Solution
- 6In a test of subsonic Jet flies over head at an altitude of $100\,\, m$. The sound intensity on the ground as the Jet passes overhead is $160 \,\,dB$. At what altitude should the plane fly so that the ground noise is not greater than $120\,\, dB.$View Solution
- 7The figure shows four progressive waves $A, B, C$ and $D $ with their phases expressed with respect to the wave $A$. It can be concluded from the figure thatView Solution
- 8$Assertion :$ The fundemental frequency of an open organ pipe increases as the temperature is increased.View Solution
$Reason :$ As the temperature increses, the velocity of sound increases more rapidly than length of the pipe. - 9When a train approaches a stationary observer, the apparent frequency of the whistle is $n'$ and when the same train recedes away from the observer, the apparent frequency is $n''.$ Then, the apparent frequency $n$ when the observer moves with the train isView Solution
- 10Two closed organ pipes, when sounded simultaneously gave $4$ beats per sec. If longer pipe has a length of $1m$. Then length of shorter pipe will be, ... $cm$ $(v = 300 m/s)$View Solution