Calculate the wavelength of each frequency of electromagnetic radiation, assuming four significant figures: a. 100.2 MHz (typical frequency for FM radio broadcasting) b. 1070 kHz (typical frequency for AM radio broadcasting) c. 835.6 MHz (common frequency used for cell phone communication).

Name: Chemistry: A Molecular Approach
Author: Tro
ISBN: 9780134874371

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Identify the formula to relate frequency and wavelength: \( c = \lambda \nu \), where \( c \) is the speed of light (\( 3.00 \times 10^8 \) m/s), \( \lambda \) is the wavelength, and \( \nu \) is the frequency.

Rearrange the formula to solve for wavelength: \( \lambda = \frac{c}{\nu} \).

Convert the given frequency to hertz (Hz) if necessary: a. 100.2 MHz = 100.2 \(\times\) 10^6 Hz, b. 1070 kHz = 1070 \(\times\) 10^3 Hz, c. 835.6 MHz = 835.6 \(\times\) 10^6 Hz.

Substitute the speed of light and the converted frequency into the formula for each case to find the wavelength: \( \lambda = \frac{3.00 \times 10^8}{\nu} \).

Calculate the wavelength for each frequency, ensuring the answer is expressed with four significant figures.

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