Sound WavesHardBloom L3

Question

Which of the following is the equation of a spherical wave

Options

A.S = S0 sin (Kx - ωt)
B.S = S0 cos (Kx - ωt)
C.S = (S0/x) sin (ωt – Kx)
D.S = (S0/x2) sin (ωt – Kx)

Solution

Sol. For spherical wave

Intensity (I) ∝ $\frac{1}{x^{2}}$

⇒ Amplitude (A) ∝ $\frac{1}{x}$

Hence (C) S = $\left( \frac{S_{0}}{x} \right)$sin(ωt – Kx)

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