Tag: speed of a travelling wave

Which of the following equations represents a transverse wave travelling along -y axis?

The displacement from the position of equilibrium of a point $4\ cm$ from a source of sinusoidal oscillations is half the amplitude at the moment $t=\dfrac{T}{6} (T$ is the time period$)$. Assume that the source was at mean position at $t=0$. The wavelength of the running wave is 

A string of length 1 m fixed at one end and on the other end a block of mass M=4 kg is suspended.The string is set into vibrations and represented by equation, Y=$6\sin \left( {\dfrac{{\pi x}}{{10}}} \right)\;\cos \;100\;\pi t,$  where x and y are in cm an in seconds.
Find the number of loops formed in the string.

A travelling wave is given by $y=\frac { 0.8 }{ 3{ x }^{ 2 }+12xt+12{ t }^{ 2 }+1 } $ where x and y are is m and t is in sec, then velocity and amplitude wave will be

A travelling wave on a light on a tight string is described by the equation $y=A\sin (kx-\omega t)$. if tension in the string is $F$ then total energy stored in the string having from $x=0$ to $x=2\pi/k$ is 

The $(x, y)$ co-ordinates of the corners of a square plate are $(0, 0) (L, 0) (L, L)$ & $(0, L)$. The edges of the plate are clamped & transverse standing waves are set up in it. If $u (x, y)$ denotes the displacement of the plate at the point $(x, y)$ at some instant of time, the possible expression(s) for $u$ is/are : ($a$ = positive constant) 

The displacement of the particle at $x=0$ of a stretched string carrying wave in the positive x-direction is given $f(t)=A sin \frac {t} {T})$. The wave speed is V. Write the wave equation 

A uniform string of length $L$ fixed between the two ends is vibrating in three segments. The wavelength of wave in string is

A uniform rope of length $L$ and mass ${m _1}$ hangs vertically from a rigid support. A block of mass ${m _{2\,}}$ is attached to the free end of the rope. A transverse pulse of wavelength ${\lambda _1}$ is produced at the lower end of the rope. The Wavelength of the pulse when it reaches the top of the rope is ${\lambda _2}$. The ratio ${\lambda _2}/{\lambda _1}$ is 

A stretched string of length $1m$ fixed at both ends, having a mass of $5\times{10}^{-4}kg$ is under a tension of $20N$. It is plucked at a point situated at $200cm$ from one end. The stretched string would vibrate with a frequency of