A transverse wave propagating along $x-$ axis is represented by $y (x,t)= 8.0 sin$ $\left( {0.5\pi x - 4\pi t - \frac{\pi }{4}} \right)$ where $x$ is in metres and $t$ is in seconds. The speed of the wave is ..... $m/s$
AIPMT 2006, Medium
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 waves represented by,View Solution
${y_1} = 10\,\sin \,200\pi t$,
${y_2} = 20\,\sin \,\left( {2000\pi t + \frac{\pi }{2}} \right)$
are superimposed at any point at a particular instant. The amplitude of the resultant wave is
- 2View SolutionA transverse wave is travelling along a stretched string from right to left. The figure shown represents the shape of the string at a given instant. At this instant
- 3A source is moving towards an observer with a speed of $20 m/s$ and having frequency of $240 Hz.$ The observer is now moving towards the source with a speed of $20 m/s$. Apparent frequency heard by observer, if velocity of sound is $340 m/s$, is ... $Hz$View Solution
- 4Column $I$ shows four systems, each of the same length $L$, for producing standing waves. The lowest possible natural frequency of a system is called its fundamental frequency, whose wavelength is denoted as $\lambda_{ f }$. Match each system with statements given in Column $II$ describing the nature and wavelength of the standing waves.View Solution
- 5A wire of length $30\,cm$, stretched between rigid supports, has it's $n^{\text {th}}$ and $(n+1)^{\text {th}}$ harmonics at $400\,Hz$ and $450\; Hz$, respectively. If tension in the string is $2700\,N$, it's linear mass density is.........$kg/m$.View Solution
- 6Equation of a progressive wave is given by $y = 0.2\cos \pi \left( {0.04t + 0.02x - \frac{\pi }{6}} \right)$The distance is expressed in $cm$ and time in second. What will be the minimum distance between two particles having the phase difference of $\pi /2$ ...... $cm$View Solution
- 7A string of length $0.4\, m$ and mass ${10^{ - 2}}\,kg$ is tightly clamped at its ends. The tension in the string is $1.6\, N.$ Identical wave pulses are produced at one end at equal intervals of time $\Delta t$. The minimum value of $\Delta t$ which allows constructive interference between successive pulses is .... $s$View Solution
- 8View SolutionSpeed of sound at constant temperature depends on
- 9Three waves of equal frequency having amplitudes $10\, \mu m, 4\, \mu m$ and $7\, \mu m$ arrive at a given point with successive phase difference of $\pi/2$. The amplitude of the resulting wave in $\mu m$ is given byView Solution
- 10A standing wave pattern of amplitude $A$ in a string of length $L$ shows $2$ nodes (plus those at two ends). If one end of the string corresponds to the origin and $v$ is the speed of progressive wave, the disturbance in the string, could be represented (with appropriate phase) as:View Solution