The phase difference between two points separated by 1m in a wave of frequency 120 Hz is 90^o . The wave velocity is

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180 m/s

240 m/s

720 m/s

480 m/s

answer is C.

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Detailed Solution

Path difference $Δ = \frac{λ}{2 π} \times φ \Rightarrow 1 = \frac{λ}{2 π} \times \frac{π}{2} \Rightarrow λ = 4 m$
Hence = $v = nλ = 120 \times 4 = 480 m / s$

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