Waves Test - 79...

Creating wind breaks means 

The resultant amplitude of a vibrating particle by the superposition of the two waves $$  y_{1}=a \sin \left[\omega t+\frac{\pi}{3}\right] $$ and $$y_{2}=a \sin \omega t  $$ is :

Two waves are represented by the equations $$y_{1} = a sin (\omega t+kx+0.57)m$$,  $$y_{2} = a cos (\omega t+kx)m$$, where $$x$$ in meter and $$t$$ in sec. The phase difference between them is 

A wave of frequency 500$$\mathrm { Hz }$$ travels between $$\mathrm { X }$$and $$\mathrm { Y }$$ and travel a distance of 600$$\mathrm { m }$$ in 2$$\mathrm { sec }$$ . between $$X$$ and $$Y .$$ How many wavelength are there in distance $$X Y$$ :

From a line source, if amplitude of a wave at a distance $$r$$ is $$A$$ , then the amplitude at a distance 4$$\mathrm { f }$$ will be -

The amplitude of a wave disturbance propagating along positive $$x$$ -axis is given bY $$y = \frac { 1 } { 1 + x ^ { 2 } }$$ at $$t = 0 s ;$$ and $$y = \frac { 1 } { 1 + ( x - 2 ) ^ { 2 } }$$ at $$t = 4$$ s. Where $$x$$ and $$y$$ are in meters. The shape of wave disturbance does not change with time. The velocity of the wave is: 

Two wave of the same amplitude and frequency arrive at a point simultaneously. If the amplitude of resultant wave is the same as that of the cach wave, then the initial phase difference of the waveis 

A plane progressive wave is shown in the adjoining phase diagram. The wave equation of this wave, if its position is shown at $$t = 0 ,$$ is:

In the equation $$y = \sin \pi (20t + 2x)$$

A particle executes SHM with a time period of 16 s. At time $$t = 2 s ,$$ the particle crosses the mean position while at $$t = 4 s ,$$ its velocity is 4$$m s ^ { - 1 } .$$ The amplitude of motion in metre is