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  • Velocity of sound waves in air is 340 m/s. For a Particular sound wave in air. a Path difference of 60 0C. is equivalent to phase difference of 1.8<img alt="\Pi" src="https://entrancecor

Velocity of sound waves in air is 340 m/s. For a Particular sound wave in air. a Path difference of 60 0C. is equivalent to phase difference of 1.8\Pi. The frequency of this wave ?

Option: 1

500 Hz


Option: 2

400 


Option: 3

550 Hz


Option: 4

510 Hz


Answers (1)

best_answer

\begin{aligned} & \Delta x=60 \mathrm{~cm}=0.6 \mathrm{~m} \\ & \Delta \varphi=1.8 \mathrm{m} \\ & f=? \\ & \Delta \varphi=k \cdot \Delta x \\ & 1.8 \not t=\frac{2 \pi}{\lambda} \times 0.6 \\ & 18 \lambda=12 \end{aligned}

\begin{aligned} & \lambda=\frac{12}{18}= \frac{6}{9}= \frac{2}{3} \\ & \lambda=\frac{2}{3} \\ & \nu=f \lambda \\ & 340=f \times \frac{2}{3} \\ & 340 \times 3=2 f \\ & f=\frac{340 \times 3}{2}=170 \times 3 \end{aligned}

f= 510 Hz

Posted by

Divya Prakash Singh

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