A) The range of audible frequencies is from about 20 Hz to 20000 Hz . What is ra

Question

A) The range of audible frequencies is from about 20 Hz to 20000 Hz . What is range of the wavelengths of audible sound in air?

Express your answer in meters to two significant figures separated by commas.

B) The range of visible light extends from 400 nm to 700 nm . What is the range of visible frequencies of light?

Express your answer in Hertz to two significant figures separated by commas.

C)

Surgeons can remove brain tumors by using a cavitron ultrasonic surgical aspirator, which produces sound waves of frequency 26 kHz . What is the wavelength of these waves in air?

Express your answer in centimeters to two significant figures.

D)

What would be the wavelength of the sound in Part C in bodily fluids in which the speed of sound is 1480 m/s , but the frequency is unchanged?

Express your answer in centimeters to two significant figures.

Explanation / Answer

c = freq*wavelength

wavelength = c/frequency

Wavelength upper limit = 3*10^8/20 =0.15*10^8 m

Wavelength Lower limit = 3*10^8/20000 =1.5*10^4 m

Wavelength Range is 1.5*10^4 m to 0.15*10^8 m

2)

wavelength = c/frequency

Wavelengths are 400 nm to 700 nm

Frequencies are

Lower Frequency limit is 3*10^8/700 *10^-9 =4.28*10^14 Hz

Upper Frequency limit is 3*10^8/400 *10^-9 =7.5*10^14 Hz

Frequency range is 4.28*10^14 Hz to 7.5*10^14 Hz

3)

wavelength = 3*10^8/ 26000 = 11538.4 m

4)

Wavelength = 1480/26000 =0.0569 m = 5.7 cm

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