At 20?C, what is the frequency of a sound wave in air with a wavelength of 17cm

Question

At 20?C, what is the frequency of a sound wave in air with a wavelength of 17cm ?

Express your answer using two significant figures.

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Part B

What is the frequency of an electromagnetic wave with a wavelength of 17cm ?

Express your answer using two significant figures.

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Part C

What would be the wavelength of a sound wave in water that has the same frequency as the electromagnetic wave of part B?

Express your answer using two significant figures.

Explanation / Answer

speed of propagation of a wave = wavelength x frequency

this holds for all waves

A) At 20oc velocity of sound in air = 343m/s
speed =wavelength x frequency

frequency = speed/wavelength = 343m/s / .17m = 2017.65 cycles /sec
or frequency = 2017.65 Hz

B) velocity of EM wave = 3*10^8m/s

frequency = speed/wavelength = 3*10^8/.17 = 1.765*10^9 = 1.765GHz

C) Velocity of sound in water = 1482 m/s

wavelentgh = speed/frequency = 1482/1.765*10^9 = 8.39*10^-7 = 839nm

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