Even the music we listen to deals with how energy travels to get to our car radio. If an FM Radio station broadcasts its music at 97.7 MHz find the wavelength in angstroms of the radio waves. One angstrom is equal to 10^-10 m.

• A. 4.01 x 10¹⁰ Å
• B. 3.07 x 10¹⁰ Å
• C. 6.53 x 10¹¹ Å
• D. 2.54 x 10¹¹ Å

Answer: (B)

Verified step by step guidance

1. Identify the given frequency of the FM radio station, which is 97.7 MHz. Convert this frequency into hertz (Hz) by multiplying by 10^6, since 1 MHz = 10^6 Hz.
2. Recall the speed of light equation: c = λν, where c is the speed of light (approximately 3.00 x 10^8 m/s), λ is the wavelength in meters, and ν is the frequency in hertz.
3. Rearrange the equation to solve for wavelength (λ): λ = c/ν.
4. Substitute the values for c (3.00 x 10^8 m/s) and ν (the frequency in Hz from step 1) into the equation to calculate the wavelength in meters.
5. Convert the wavelength from meters to angstroms by using the conversion factor: 1 meter = 10^10 angstroms. Multiply the wavelength in meters by 10^10 to get the wavelength in angstroms.