waves physics notes


• The velocity of transverse waves in a stretched string is given by For example: An object undergoes SHM if it experiences a force which is proportional and opposite of the displacement from its equilibrium position. Ch 15: Waves Typed Notes. According to Laplace, during propagation of sound waves, the change takes place under adiabatic conditions because gases are thermal insulators and compressions and refractions are alternately taking place with a high frequency. at another given time. at one time and all energy becomes KB. The frequency of fundamental mode of vibration (or first harmonic) is given by There are particles -which are permanently at rest (nodes) and all other particles have their own allotted maximum displacement, which they attain simultaneously. • Mechanical waves • Newton’s Formula for the velocity of sound in Air ⇒ By understanding that frequency is the number of cycles per second, we can determine the wave equation as follows: ⇒ When a wave is travelling, the particles are constantly moving, ⇒ The phase of a wave is the fraction of the cycle a particle has passed through relative to a given starting point, ⇒ Particles in parts of a wave that are moving at the same speed and in the same direction are in phase, ⇒ Particles are out of phase if they are at different points in their cycle at a particular time, ⇒ Particles in parts of a wave that move in opposite directions and at exactly the same speed are moving in antiphase, or completely out of phase, ⇒ Points E and M are in phase, whereas points E and I are moving in antiphase, ⇒ Any phase difference can be measured as an angle in degrees or radians. Sound waves in air are created by making a surface vibrate so it sends compression waves through the surrounding air. <> The phenomenon of regular rise and fall in the intensity of sound, when two waves of nearly equal frequencies travelling along the same line and in the same direction superimpose each other is called beats. A rope that is flicked up and down continuously creates a repeating disturbance similar to the shape of a sine/cosine wave. They superimpose simultaneously ( i.e. • Longitudinal wave motion A point with minimum displacement is called a trough. wavelengths move in antiphase, For example we can say the phase change of a wave during one complete cycle is 360, In other words, when t = T, the angle is 2Πt/T, Points half a wavelength apart have a phase difference of Π and points three-quarters of a wavelength apart have a phase difference of 3Π/2. it is the distance between two equivalent point in successive cycles) Waves transfer energy between points, without transferring matter: When a wave travels between two points, no matter actually travels with it: The points on the wave simply vibrate back and forth about fixed positions. Chapter 10: (WAVES AND SOUND) Vibration: wiggle in time.

• Stationary Waves Typed Notes. The magnitude of the restoring force must be proportional to the displacement of the body and acts towards the equilibrium. In case of solids, E is Young’s modulus of elasticity (Y), then In electromagnetic waves (which include light waves) the disturbance that travels is not a result of vibrations of particles but it is the oscillation of electric and magnetic fields which takes place at right angles to the direction in which the wave travels. All the particles in one-half of the waves have a fixed phase and all the particles in the other half of the wave have the same phase in the opposite direction simultaneously. where E is the modulus of elasticity of the medium and ρ is the density of the medium. In transverse waves the particles of the medium vibrate at right angles to the direction in which the wave propagates. When labelling wavelength on a diagram, make sure that your arrows go from the very top of a wave to the very top of the next one: if your arrow is too short you will lose marks. Standing waves on a string is equivalent to that in a pipe which is closed on both ends (nodes-node). The spring-mass system, where the mass is initially displaced to produce a periodic motion around the equilibrium position An object undergoes SHM if it experiences a force which is proportional and opposite of the displacement from its equilibrium position. 6. (iv) The velocity of sound in moist air is greater than the velocity of sound in dry air.

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