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).

Verified step by step guidance

1. 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.
2. Rearrange the formula to solve for wavelength: \( \lambda = \frac{c}{\nu} \).
3. 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.
4. Substitute the speed of light and the converted frequency into the formula for each case to find the wavelength: \( \lambda = \frac{3.00 \times 10^8}{\nu} \).
5. Calculate the wavelength for each frequency, ensuring the answer is expressed with four significant figures.