# Wave motion

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WAVE MOTION

### Wave Motion :

Wave Motion Form of disturbance which travels through a medium due to repeated periodic motion of the particles of the medium about its mean position. Types of wave motion: Transverse waves Longitudinal waves

### Slide 3:

Basic Variables of Wave Motion Terminology to describe waves Crest: “Highest point” of a wave Wavelength l: Distance from one crest to the next crest. Wavelength l: Distance between two identical points on a wave. Period T: Time between the arrival of two adjacent waves. Frequency f: 1/T, number of crest that pass a given point per unit time

### Example :

Example If a string is fixed at one end is given a sudden jerk, a disturbance in the form of a pulse travels along the length of the string i.e. particles vibrate perpendicular to the direction of propagation.

### speed of transverse wave :

speed of transverse wave Speed of transverse waves in solids is given by:- ?=v(n/p) where n is the modulus of rigidity and p is the density of the material of the solid. Speed of transverse waves in a stretched spring is given by:- v=v(T/m) where T is the tension and m is the linear density of the string.

### Slide 6:

Longitudinal waves: The particles of the disturbed medium move parallel to the wave motion.

### A longitudinal wave along a stretched spring. The displacement of the coils is inthe direction of the wave motion. Each compressed region is followed by a stretched region. :

A longitudinal wave along a stretched spring. The displacement of the coils is inthe direction of the wave motion. Each compressed region is followed by a stretched region.

### Speed of a longitudinal wave :

Speed of a longitudinal wave Speed of longitudinal wave in a solid is:- V=v(k+4/3n)/p where k, n and p are the values of bulk modulus, modulus of rigidity and density of the solid respectively. In case the solid is a long rod, the speed is: v=v(Y/p) where Y is the Young’s modulus of the material.