Tag: physics

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

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 

A wave equation which given the displacement along the Y direction is given by $y = 10^{-4} \sin (60t+2x)$ where x and y are in meters and t is time in seconds. This represents a wave 

For a wave $ y= y _0 sin ( \omega t - kx ) $, for what value of $ \lambda $ , is the maximum particle velocity equal to two times the wave velocity :-

Two small boats are 10 m apart on a lake. Each pops up and down with a period of 4.0  seconds due  to wave motion on the surface of water. What one boat is at its highest point, the other boat is at lowest point. Both boats are always within a single cycle of the waves. The speed of the waves is :