Calculate the wavelength of each of the following frequencies of electromagnetic

ID: 485209 • Letter: C

Question

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

Part A

103.8 MHz (typical frequency for FM radio broadcasting)

Express your answer in meters using four significant figures.

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Part B

1100 kHz (typical frequency for AM radio broadcasting)

Express your answer in meters using four significant figures.

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Part C

835.6 MHz (common frequency used for cell phone communication)

Express your answer in meters using four significant figures.

1 = m

Relation between wavelength and frequency is,

Frequency = speed of light / wave length

So,

Wave length = speed of light / frequency

PART (A)

Speed of light = 3 * 108 m/s

Frequency = 103.8 M Hz = 103.8 * 106 Hz

Wave length = 3 * 108 / (103.8 * 106) = 2.890 m

PART (B)

Frequency = 1100 kHz = 1100 * 1000 Hz = 11 * 105 Hz

Wave length = 3 * 108 / (11 * 105 ) = 2.727 * 102 m

PART (C)

Frequency = 835.6 MHz = 835.6 * 106 Hz

Wave length = 3 * 108 / (835.6 * 106) = 0.3590 m

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