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Explain about amplitude and phase of wave. |
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Answer» Solution :"Magnitude of maximum displacemetn of a PARTICLE taking part in the propagation of wave is called amplitude of wave." It is shown by symbol a or A. ACCORDING to wave equation, `y=a sin (kx - omega t + phi)` Now since the vaue of`sin (omega t - kx + phi)` has exteme values `pm 1` we can write: `y _(max) =a (pm1) =pma` `therefore` Amplitude of wave `= |y_(max)| =a` Amplitude of a wave is always positive. Its SI unit is m and its dimensional formula is `[M^(0) L ^(1) T ^(0)].` Initial phase `(phi): `If we know the initial position of a particle at the origin of wave and direction of its motion on its path a time `t=0,` then we can find out value of initial phase `phi` using, `y (x,t) =a sin (omega t - kx + phi)` Putting `x =0 and t =0, y (0,0) =a in phi` Here knowing `sin phi, ` we can find out initial phase `phi.` In the wave equation , `y=y (x,t) =a sin (omega t - kx + phi)` th ARGUMENT of sine function is `(omega t - kx + phi)` Which is called total phase of a wave at time t at a distance x from its source. It also GIVES total phase of OSCILLATION of a particle at distance x from origin of wave at time t. |
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