Physics, asked by BrainlyHelper, 1 year ago

Derive an expression for a one dimensional simple harmonic progressive wave travelling in the direction of the positive X-axis. Express it in different forms.

Answers

Answered by abhi178
31
Let's consider a simple harmonic progressive wave traveling along positive direction of x axis. particles of wave is vibrating perpendicular to x axis. at any instant t, the displacement of the particle of the medium situation at the origin is given by
\bf{y=Asin\omega t}

here A is amplitude of wave, \omega is angular frequency of wave.

now, Let simple harmonic progressive wave displaced x distance from the origin.
then, equation of motion of particle in medium is given by , \bf{y=Asin(\omega t-kx)}
here k is known as wave number.
k = \frac{2\pi}{\lambda}
and \omega=\frac{2\pi}{T}

then, \bf{y=Asin\left(\frac{2\pi}{T}t-\frac{2\pi}{\lambda}x\right)} this is also a nice expression to show motion of particle of wave.
Answered by MRSmartBoy
0

Explanation:

t,

.

direction of the positive X-axis. Express it in different forms.

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