27. A communications satellite transmits a radio wave at a frequency of 5 • 109 Hz. What is the signal’s wavelength? Assume the wave travels in a vacuum. Show your work. (3 points)
I at least need the formula and how to solve it... not the answer.
λ =c/f = 3•10^8/5•10^9= 0.06 m
To find the wavelength of a radio wave, you can use the formula:
c = λ * f
Where:
c is the speed of light in a vacuum, which is approximately 3 x 10^8 meters per second (m/s).
λ (lambda) represents the wavelength of the wave in meters (m).
f is the frequency of the wave in hertz (Hz).
To solve for the wavelength (λ) in this problem:
Step 1: Substitute the given values into the equation:
c = 3 x 10^8 m/s (speed of light in vacuum)
f = 5 x 10^9 Hz (frequency of the radio wave)
Step 2: Rearrange the equation to solve for λ:
λ = c / f
Step 3: Substitute the values:
λ = (3 x 10^8 m/s) / (5 x 10^9 Hz)
Step 4: Simplify the expression:
λ = 0.06 m
Therefore, the signal's wavelength is 0.06 meters.