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General equation of travelling is considered one of the most asked concept.
24 Questions around this concept.
The displacement y of a particle in a medium can be expressed as:
where t is in second and x in meter. The speed of the wave is:
The function f(x,t) represents the displacements y of the particle at t=0 and x=x'
k- propagation constant or angular wave number
A- Amplitude
For a given time, between position x=0 to x=x' the phase changes from 0 to kx'
similarly, x=0 to x= the phase changes from 0 to 2
The disturbance travels on the strings towards along positive x-axis with a constant speed 'v'. Thus, the displacement produced at the left end at time 't=0', reaches the point 'x' at time 't=(x-x')/v'.
As wave shape remains same for progressive wave, particle's displacement at x=x', t=0 and x=x'+vt, t=t are same
i.e., is same as
Let's now write the equation in terms of the stationary coordinate x, where x' = x − vt
For wave travelling along negative x-axis,
GENERAL EQUATION OF TRAVELLING WAVE
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Last Date to Apply : 15th September | Campuses in Agartala, Aizawl, Ajmer, Aurangabad, Calicut, Imphal, Itanagar, Kohima, Gorakhpur, Patna & Srinagar
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