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A plane sinusoidal undiminished sound wave is travelling in +x direction in a gaseous medium. Excess pressure amplitude for any location is p0. Wave speed in the medium is 360 ms-1. At some moment, instantaneous values of excess pressure at positions (0,0,0) & (+1, +1, 0) are +po and +p0/2. The frequency of wave is:

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a

60HZ

b

120HZ

c

602 HZ

d

1202 HZ

answer is A.

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Detailed Solution

∵p=p0cos⁡2πλx⇒p02=p0cos⁡2πλ×1⇒λ=6m⇒v=60HZ

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A plane sinusoidal undiminished sound wave is travelling in +x direction in a gaseous medium. Excess pressure amplitude for any location is p0. Wave speed in the medium is 360 ms-1. At some moment, instantaneous values of excess pressure at positions (0,0,0) & (+1, +1, 0) are +po and +p0/2. The frequency of wave is: