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Question

(A) The relationship between frequency $(n)$,velocity $(v)$,and wavelength $(\lambda)$ is given by $n = \frac{v}{\lambda}$.Since the wavelengths $(\la

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$10^6:1$

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(A) The relationship between frequency $(n)$,velocity $(v)$,and wavelength $(\lambda)$ is given by $n = \frac{v}{\lambda}$.Since the wavelengths $(\lambda)$ are the same,the ratio of frequencies is equal to the ratio of their velocities: $\frac{n_{MW}}{n_{US}} = \frac{v_{MW}}{v_{US}}$.The speed of a microwave (electromagnetic wave) is $v_{MW} \approx 3 	imes 10^8 \ m/s$.The speed of an ultrasonic sound wave (mechanical wave) in air is $v_{US} \approx 330 \ m/s \approx 3 	imes 10^2 \ m/s$.Therefore,the ratio of frequencies is $\frac{n_{MW}}{n_{US}} \approx \frac{3 	imes 10^8}{3 	imes 10^2} = 10^6:1$.

$A$ microwave and an ultrasonic sound wave have the same wavelength. Their frequencies are in the ratio (approximately):

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