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2021-11-10

a. An FM radio station broadcasts at a frequency of 101.3 MHz. What is the wavelength? b. What is the frequency of a sound source that produces the same wavelength in $20}^{\circ$ air?

Fearen

Beginner2021-11-11Added 15 answers

For part a)

The wavelength is calculated as:

$\lambda =\frac{c}{f}=\frac{3.0\times {10}^{8}\frac{m}{s}}{101.3MHz}=2.96m\approx 3.0m$

For part b)

The speed of sound in air at$20}^{\circ$ given as 343 m/s. Hence, the frequency is calculated as:

$f\frac{{v}_{sound}}{\lambda}=\frac{343\frac{m}{s}}{2.96m}=120Hz$

Result: a)$\lambda =2.96m$

b)$f=1.6Hz$

The wavelength is calculated as:

For part b)

The speed of sound in air at

Result: a)

b)

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