Question

Calculate the wavelength of each of the following frequencies of electromagnetic radiation.

Express your answer in meters using four significant figures.

Part A.

103.8 MHz (typical frequency for FM radio broadcasting)

Part B.

1065 kHz (typical frequency for AM radio broadcasting)

Part C.

835.6 MHz (common frequency used for cell phone communication)

Answer 1

A)

we have:

frequency = 1.038*10^8 s-1

we have below equation to be used:

wavelength = speed of light/frequency

=(3.0*10^8 m/s)/(1.038*10^8 s-1)

= 2.890 m

Answer: 2.890 m

we have:

frequency = 1.065*10^6 s-1

we have below equation to be used:

wavelength = speed of light/frequency

=(3.0*10^8 m/s)/(1.065*10^6 s-1)

= 2.817*10^2 m

Answer: 2.817*10^2 m

C)

we have:

frequency = 8.356*10^8 s-1

we have below equation to be used:

wavelength = speed of light/frequency

=(3.0*10^8 m/s)/(8.356*10^8 s-1)

= 0.3590 m

Answer: 0.3590 m