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 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 .

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 vibration of a 60 cm long string string stretched at both ends is given by y = 4 "sin" (pi x)/(15) "cos" 96 pi t . Here x and y are expressed in cm and t in s . What are the equations of the two superposed waves ?

The transverse displacement of a string (clamped at its both ends) is given by y (x , t) = 0 . 0 6 sin ((2pi)/(3) x) cos (120 pi t) Where x and y are in m and t in s . The length of the string is 1 . 5 m and its mass is 3 . 0 xx 10^(-2) kg . Answer the following , Interpret the wave as a superposition of two waves travelling in opposite directions . What is the wavelength, frequency and speed of each wave ?

The transverse displacement of a string (clamped at its both ends) is given by y (x , t) = 0 . 0 6 sin ((2pi)/(3) x) cos (120 pi t) Where x and y are in m and t in s . The length of the string is 1 . 5 m and its mass is 3 . 0 xx 10^(-2) kg . Answer the following , Does the funcation represent a travelling wave or a stationary wave ?

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.

A transverse harmonic wave on a string is described by y (x , t) = 3 . 0 sin ( 36 t + 0 . 0 18 x + (pi)/(4) ) where x and y are cm and t in s. The positive direction of x is from left to right . Is this a travelling wave or a stationary wave ? . If it is travelling, what are the speed and direction of its propagation ?