We know that vibrations in a stretched string is an example of transverse standing waves. To understand it we study a string which is tied between two stationary points and is stretched. If T is the tension in the string and mass of unit length is m, then the velocity of waves produced in the string from equation.

\(v = \sqrt{\frac{T}{m}}\)

When this string is stretched in the perpendicular direction slightly and then left. Then the transverse progressive waves start moving. These waves are reflected from the rigid ends of the string. Therefore, by superposition of incident and reflected waves transverse standing waves are generated and these waves remain till their energy is not destroyed due to friction, etc. Since both the ends of the string are tied up hence they are always nodes.

When the string is stretched from middle and is left then the string vibrates in one part. Both the ends of the string are nodes and the middle point is antinode figure. This is the simple method of producing standing wave in a stretched string in which the string vibrates in a loop.