Calculate the wavelength of AM radio waves if their frequency is 900 kHz. Show all the steps used in your calculation?

To calculate the wavelength (( \lambda )) of AM radio waves, we use the formula:

[ \lambda = \frac{c}{f} ]

where ( c ) is the speed of light (approximately ( 3 \times 10^8 ) meters per second) and ( f ) is the frequency in hertz. First, convert the frequency from kilohertz to hertz: ( 900 , \text{kHz} = 900,000 , \text{Hz} ). Now, substituting the values, we get:

[ \lambda = \frac{3 \times 10^8 , \text{m/s}}{900,000 , \text{Hz}} \approx 333.33 , \text{meters} ]

Thus, the wavelength of AM radio waves at 900 kHz is approximately 333.33 meters.