Please explain how to solve:
The wavelength of a radio wave is defined as speed divided by frequency. An FM radio station has a frequency of 9 x 10(power of 7) waves per second. The speed of the waves is about 3 x 10 (power of 8) meters per second. What is the wavelength of the station?
just do what it says:
wavelength = 3*10^8/(9*10^7) = 3.333.. or 10/3 or 3 1/3
To find the wavelength of a radio wave, you need to use the formula: wavelength = speed / frequency.
Given:
Frequency = 9 x 10^7 waves per second
Speed = 3 x 10^8 meters per second
Step 1: Substitute the given values into the formula:
wavelength = speed / frequency
wavelength = (3 x 10^8) / (9 x 10^7)
Step 2: Simplify the expression:
wavelength = (3/9) x 10^(8-7)
wavelength = 1/3 x 10^1
wavelength = 1/3 x 10
wavelength = 10/3
Therefore, the wavelength of the FM radio station is 10/3 meters.
To solve this problem, you can use the formula for wavelength:
wavelength = speed / frequency
Given that the frequency of the FM radio station is 9 x 10^7 waves per second and the speed of the waves is about 3 x 10^8 meters per second, we can substitute these values into the formula:
wavelength = (3 x 10^8 m/s) / (9 x 10^7 waves/s)
First, we simplify the numerator and denominator by dividing both values by 10^7:
wavelength = (30 m/s) / (9 waves/s)
Now, we divide 30 m/s by 9 waves/s to get the wavelength:
wavelength ≈ 3.33 meters
Therefore, the wavelength of the FM radio station is approximately 3.33 meters.