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Q.

A sound wave of frequency 245 Hz travels with the speed of  300ms1 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[sin0.8x(0.5×103)t]

b

Y(x,t)=0.03[sin5.1x(1.5×103)t]

c

Y(x,t)=0.03[sin5.1x(0.2×103)t]

d

Y(x,t)=0.06[sin5.1x(1.5×103)t]

answer is B.

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Detailed Solution

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Amplitude,  A=0.062=0.03 , k=2πλ,  ω=2πf

 

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