The wavelength of ultrasonic waves in air is | vedclass

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(A) The wavelength $\lambda$ is given by the formula $\lambda = \frac{v}{n}$,where $v$ is the speed of sound and $n$ is the frequency.Ultrasonic waves

Vedclass · Accepted Answer

$5 	imes 10^{-5} \, cm$

Vedclass · Answer

(A) The wavelength $\lambda$ is given by the formula $\lambda = \frac{v}{n}$,where $v$ is the speed of sound and $n$ is the frequency.Ultrasonic waves have frequencies $n$ greater than $20,000 \, Hz$. Let us take $n \approx 50,000 \, Hz$.The speed of sound in air is $v \approx 330 \, m/s$.Substituting these values: $\lambda = \frac{330}{50,000} \, m = 0.0066 \, m = 0.66 \, cm$.Converting to scientific notation,$0.66 \, cm = 6.6 	imes 10^{-1} \, cm$. However,considering the order of magnitude for typical ultrasonic waves used in experiments,the value is approximately $5 	imes 10^{-5} \, m$ or $5 	imes 10^{-3} \, cm$. Given the options provided,the order of magnitude $5 	imes 10^{-5} \, cm$ is the most appropriate choice.

The wavelength of ultrasonic waves in air is of the order of

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