Waves Test - 22...

A plane progressive wave has frequency $$25 \ Hz$$ and amplitude $$2.5 \times 10^{-5}$$ m and initial phase zero, propagates along the negative x-direction with a velocity of $$300 m/s$$. The phase difference between the oscillations at two points $$6m$$ apart along the line of propagation is :

The equations of displacement of two waves are given as $$Y_{1}=10 \sin(\pi t+\pi /3)$$ $$Y_{2}=5(\sin3\pi t +\sqrt{3}\cos3\pi t$$), then the ratio of their amplitude is 

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Three waves of equal frequency having amplitudes $$10 \ mm, 4 \ mm$$ and $$7\ mm$$ arrive at a given point with successive phase difference $$\dfrac \pi  2$$. The amplitude of the resulting wave (in mm) is given by:

When a transverse plane wave traverses a medium, individual particles execute periodic motion given by the equation  $$y=0.25\cos(2\pi t-\pi x)$$. The phase difference for two positions of same particle which are occupied by time intervals $$0.4 second$$ apart is

The equation of a wave pulse is given as $$y=\displaystyle \frac{0.8}{(4x+5t)+4}$$, the amplitude of the pulse is:

The displacement of a particle varies according to the relation $$X=4(\cos\pi t+\sin\pi t)$$
The amplitude of the particle is

The equation of a wave travelling on a stretched string is  $$y=4\displaystyle \sin 2\pi(\frac{t}{0.02}-\frac{x}{100})$$  here x, y are in cm and t in seconds. The relative deformation amplitude of medium is

A wave of length $$2m$$ is superposed on its reflected wave to form a stationary wave. A node is located at  $$ x=3m$$ The next node will be located at  $$x=$$

A Sound wave with an amplitude of $$3 cm$$  starts moving towards right from origin and gets reflected at a rigid wall after a second. If  the velocity of the wave is $$340 ms^{-1}$$ and it has a wavelength of $$2 m$$, the equations of incident and reflected waves are