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Two sound waves having the same wavelength λ and same frequency but with intensities 9 I 0 and 4 I 0 are interfering. When the path difference between the waves is λ 4 the resulting intensity is nI 0 . What is the value of n ?

Correct answer

13

Step-by-step solution

ϕ = 2 π λ × ∆ x = 2 π λ × λ 4 = π 2 I = I 1 + I 2 + 2 I 1 I 2 cos ⁡ ϕ = 9 I 0 + 4 I 0 = 13 I 0

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