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  • 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 ?<br /

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 ?
 
Option: 1 Y(x,t)=0.06\left [ \sin 5.1x-\left ( 1.5\times10^{3} \right )t \right ]
Option: 2 Y(x,t)=0.03\left [ \sin 5.1x-\left ( 1.5\times10^{3} \right )t \right ]
Option: 3 Y(x,t)=0.03\left [ \sin 5.1x-\left ( 0.2\times10^{3} \right )t \right ]  
Option: 4 Y(x,t)=0.06\left [ \sin 0.8x-\left ( 0.5\times10^{3} \right )t \right ]

Answers (1)

best_answer

\begin{aligned} &\text { } \omega=2 \pi \mathrm{f}\\ &=1.5 \times 10^{3}\\ &\mathrm{A}=\frac{6}{2}=3 \mathrm{~cm}=0.03 \mathrm{~m} \end{aligned}

So the equation that suits the following is -

Y(x,t)=0.03\left [ \sin 5.1x-\left ( 1.5\times10^{3} \right )t \right ]

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Deependra Verma

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