Q.

A sound wave of frequency 245 Hz travels with the 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

Y(x, t)=0.06[sin 0.8 x-(0.5 × 103) t]

b

Y(x, t)=0.03[sin 5.1 x-(1.5 × 103) t]

c

Y(x, t)=0.03[sin 5.1 x-(0.2 × 103) t]

d

Y(x, t)=0.06[sin 5.1 x-(1.5 × 103) t]

answer is B.

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Detailed Solution

Travelling wave Y(x.t)=Asin(Kx-ωt) 

Here,

A=0.062=0.33

ω=2πf=2π×245=1.5×103

K=ωv=1.5×1033005.1

Y(x,t)=0.03sin5.1x1.5×103t

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