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A sound wave of frequency 245 Hz travels with speed of $300 {ms}^{- 1}$ along the positive x-axis. Each point of the wave moves to and fro through a total distance of 6 cm. What will be the mathematical expression of this travelling wave?

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Yx,t=0.03sin5.1x−0.2×103t

Yx,t=0.03sin5.1x−1.5×103t

Yx,t=0.06sin0.8x−0.5×103t

Yx,t=0.06sin5.1x−1.5×103t

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detailed solution

Correct option is B

ω=2πn, here n=245 Hz ⇒ω=2×3.14×245=1.5×103 A=3 cm k=ωv=5.1 Thus, y=0.03sin5.1x−1.5×103t m

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A sound wave of frequency 245 Hz travels with speed of 300 ms−1 along the positive x-axis. Each point of the wave moves to and fro through a total distance of 6 cm. What will be the mathematical expression of this travelling wave?

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A sound wave of frequency 245 Hz travels with speed of $300 {ms}^{- 1}$ along the positive x-axis. Each point of the wave moves to and fro through a total distance of 6 cm. What will be the mathematical expression of this travelling wave?