Compute the wavelength of the radio waves from the following stations. (a) an AM

Question

Compute the wavelength of the radio waves from the following stations.
(a) an AM station operating at a frequency of 635 kHz (in m)
(b) an FM station with a frequency of 95.5 MHz (in m)

Compute the wavelength of an X-ray with a frequency of 4 1018 Hz. in nm

What is the frequency of blue light that has a wavelength of 448 nm? in Hz

An electromagnetic wave has a wavelength of 6.12 10-6 m. In what region of the EM spectrum is this radiation? Give the frequency of the electromagnetic wave to support your answer. in Hz

Compute the wavelength in air of ultrasound with a frequency of 54 kHz if the speed of sound is 344 m/s. in m


During a thunderstorm, 4.9 s elapses between observing a lightning flash and hearing the resulting thunder. Approximately how far away in km and mi was the lightning flash? in km? in mi?

Explanation / Answer

   v = 3 * 10^8 m/s
a)
The frequency of the AM station is given by, n = 635 K Hz = 635000 Hz
We have a relation between the frequency, wavelength and velocity is given by
   v = n
From the above we have, = v/n = 472.4 m
So the wavelength of the AM station 472.4 m
b)
Similarly,
The frequency of FM station, n = 95.5 M Hz = 95.5 * 10^6 Hz
   So the wavelength of FM station, = v/n = 3.141 m
Given that the frequency of x-ray, n = 4 * 10^18 H
So the wavelength of x-rays, = v/n = 0.0075 * 10^-9 m = 0.0075 nm
Given the frequency of blue light, n = 448 nm
The wavelength of the blue light, = v/n = 6.7 * 10^14 m
Given that the wavelength of electromagnetic wave, = 6.12 * 10^-6 m
   The frequency of the electromagnetic wave, n = v/
   v = 4.9 * 10^13 Hz
The frequency of ultrasound, n = 54 k Hz = 54000 Hz
The speed of sound, v = 344 m/s
So the wavelength of ultrasound, = v/n = 5555.6 m
The time elapses between lightning and thunder, t = 4.9 sec
The speed of sound, v = 344 m/s
So the distance = velocity * time = 344 * 4.9 = 1685.6 m
   = 1.6856 km

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