The equation of a spherical progressive wave is
(a) y = a sin ⍵t (b) y = a sin (⍵t - kr)
(c) y = a/√2 sin ( ⍵t - kr)
(d) y = a/r sin ( ⍵t - kr)
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your question is -> The equation of spherical progressive wave is
- y = Asin(kx - ωt)
- y = sin(kx - ωt)
- y = a/√2 sin(kx - ωt)
- y = a/r sin(kx - ωt)
answer : option (4) y = a/rsin(kx - ωt)
explanation : in case of spherical progressive wave, the amplitude A of wave is inversely proportional to the distance of the source from the point of consideration. i.e., amplitude ∝ 1/r
so, option (4) is correct choice.
hence, y = a/r sin(kx - ωt) represents equation of spherical progressive wave.
Hope it helps
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