Tag: problems on properties of waves

The phase difference between two points separated by 0.8 m in a wave of frequency 120 Hz is 0.5 $\pi $ the wave velocity 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 

Two waves have equations ${x} _{1}=a\sin{(\omega t+{\phi} _{1})}$ and ${x} _{2}=a\sin{(\omega t+{\phi} _{2})}$. If in the resultant wave the frequency and amplitude remain equal to amplitude of superimposing waves. The phase difference between them is:

Two particles executing SHM of same frequency, meet at x=+A/2, while moving in opposite directions. Phase difference between the particles is 

Consider the wave represented by $y=\cos(500t-70x)$ where $x$ is in metres and $t$ in seconds. the two nearest points in the same phase have a separation of 

Four waves are expressed as
(i) $y _ { 1 } = a _ { 1 } \sin \omega t$                                            (ii) $y _ { 2 } = a _ { 2 } \sin 2 \omega t$
(iii) $y _ { 3 } = a _ { 3 } \cos \omega t$                                         (iv) $y _ { 4 } = a _ { 4 } \sin ( \omega t + \phi )$
The interference is possible between

If x=$\theta sin(\alpha + \dfrac{\pi}{6})$ and $x^1 = {\theta}cos\alpha$,then what is the phase difference between the two waves.

Equation ${ y } _{ 1 }=0.1sin\left( 100\pi t+\dfrac { \pi  }{ 3 }  \right) $ and ${ y } _{ 2 }=0.1$ cos $\pi t$ The phase difference of the velocity of particle 1, with respect to the velocity of particle 2 is 

Which of the following equations does not represent a progressive wave ?

A traveling wave is represented by the equation $ y = \frac{1}{10} sin(60 t + 2x) $, where x and y in meters and t is in second . this represents a wave
(1) of frequency $ \frac {30}{\pi} Hz $
(2) of wavelength $ \pi m $
(3)of amplitude 10 cm
(4) moving in the positive x direction
pick out the correct statements from the above.