The mathmaticaly form of three travelling waves are given by
`Y_(1)=(2 cm) sin (3x-6t)`
`Y_(2)=(3 cm) sin (4x-12t)`
And `Y_(3)=94 cm) sin(5x-11t)`
of these waves,

Three traveling sinusoidal waves are on identical strings. with the same tension. The mathematical forms of the waves are y_1(x,t) =y_(m) sin(3x- 6t), y_2(x,t)= y_m sin(4x - 8t), and y_(3) (x,t) sin(6x-12t), where x is in meters and t is in seconds. Match each mathematical form to the appropriate graph below:

Find the resultant amplitude and the phase difference between the resultant wave and the first wave , in the event the following waves interfere at a point , y_(1) = ( 3 cm) sin omega t , y_(2) = ( 4 cm) sin (omega t + (pi)/( 2)), y_(3) = ( 5 cm ) sin ( omega t + pi)

Find the resultant amplitude and the phase difference between the resultant wave and the first wave , in the event the following waves interfere at a point , y_(1) = ( 3 cm) sin omega t , y_(2) = ( 4 cm) sin (omega t + (pi)/( 2)), y_(3) = ( 5 cm ) sin ( omega t + pi)

The displacement of a particle of a string carrying a travelling wave is given by y=(4cm)sin2pi(0.5x-100t) , where x is in cm and t is in seconds. The speed of the wave is

The displacement of a particle of a string carrying a travelling wave is given by y = (3 cm) sin 6.28 (0.50 x – 50 t) where x is in centimeter and t is in second. The velocity of the wave is-

Here are the equations of three waves: (1) (y) (x,t) =2 sin (4x-2t), (2). (y)(x,t) =sin (3x-4t), (3) (y) (x,t)=2 sin (3x-3t). Rank the waves according to their (a) wave speed and (b) maximum speed perpendicular to the wave's direction of travel (the transverse speed), greatest first.

When two progressive waves y_(1) = 4 sin (2 x - 6t) and y_(2) = 3 sin (2x - 6t -(pi)/(2)) are superposed, the amplitude of the resultant wave is