The expression for a standing wave is ` y(x, t) = 2 sin ( 0 . 1 pi x) cos 100 pi t ` , where x, y are in cm and t is in second. Find the distance between a node and the next antinode of the wave .

Two travelling waves superpose to form a stationary wave whose equation is y (x,t) = 5 sin (0. 1 pi x) cos 50 pi t where x, y are in cm and t is in x . Find the equations of the two superposing travelling waves .

The resultant displacement due to superposition of two identical progressive waves is y = 5 cos ( 0 . 2 pi x) sin (64 pi t ) , where x , y are in cm and t is in sec . Find the equations of the two superposing waves .

The equation of the vibration of a wire is y = 5 "cos"(pi x)/(3) sin 40 pi t , where x and y are given in cm and t is given in s. calculate the distance between two closest points of the wire that are always at rest,

The equation of a progressive wave is y = 15 sin pi (70t - 0.08x) . where y and x are in c.m. at t is in sec. Find the amplitude.frequency, wavelength and speed of the wave.

The resultant displacement due to superposition of two identical progressive waves is y = 5cos(0.2pix)sin(64pit) , where x, y are in cm and t is in sec. Find the equations of the two superposing waves.

The equation of the vibration of a wire is y = 5 "cos"(pi x)/(3) sin 40 pi t , where x and y are given in cm and t is given in s. calculate the amplitudes and velocities of the two waves which on superposition, from the above-mentioned vibration,

The equation of a progressive wave in a medium is y= a sin ( 100 pi t +(pi)/( 10) x) , where x is in metre and t is in second . The velocity of wave in the medium is

A transverse harmonic wave on a string is describe by Y (x,t) = 3 sin (36 t + 0 . 0 18 x + (pi)/(4)) . Where X and Y are in cm and t in sec . The positive direction of x is form left to right What is speed of this wave?