5.) An FM radio station broadcasts at a frequency of 101.8 MHz . a.) What is the

Question

5.) An FM radio station broadcasts at a frequency of 101.8 MHz .

a.) What is the wavelength? Express your answer with the appropriate units.

b.) What is the frequency of a sound source that produces the same wavelength in 20C air? Express your answer with the appropriate units.

6.) A sinusoidal wave travels along a stretched string. A particle on the string has a maximum velocity of 0.800 m/s and a maximum acceleration of 220 m/s2 .

a.) What is the frequency of the wave? Express your answer with the appropriate units.

b.) What is the amplitude of the wave? Express your answer with the appropriate units.

Explanation / Answer

Question 5 ) given , frequency = 101.8 MHz = 101.8*10^6 Hz

velocity = 3*10^8 m/s

Since , frequency = velocity/wavelength

Wavelength = velocity/frequency

= 3*10^8/101.8*10^6

= 2.947 m

Therefore, Wavelength = 2.947 m

Part B) speed of sound (v) = 343 m/s

Wavelength = 2.947 m

Frequency = 343/2.947 = 116.4 Hz

Therefore, frequency of sound source = 116.4 Hz

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