A vHF television station assigned to channel 7 transmits its signal using the radio waves with a frequency 174MHZ calculate the wavelength of the radio waves be sue your answer has the correct number of significant digits
To calculate the wavelength of the radio waves, we can use the equation:
wavelength = speed of light / frequency
First, we need to convert the frequency from megahertz (MHz) to hertz (Hz).
174 MHz = 174 million Hz = 174 x 10^6 Hz
The speed of light is approximately 3 x 10^8 meters per second.
Now we can calculate the wavelength:
wavelength = (3 x 10^8 m/s) / (174 x 10^6 Hz)
wavelength = 1.72413793 meters
Since the frequency measurement has 3 significant digits, the wavelength should also have 3 significant digits. Therefore, the wavelength is approximately 1.72 meters.
To calculate the wavelength of the radio waves, we can use the formula:
Wavelength (λ) = Speed of Light (c) / Frequency (f)
The speed of light (c) is a constant value, approximately 3.00 × 10^8 meters per second.
Given that the frequency (f) is 174 MHz (174 × 10^6 Hz), let's proceed with the calculations:
λ = (3.00 × 10^8 m/s) / (174 × 10^6 Hz)
λ = 1.724 × 10^2 m
Since the original frequency value has three significant digits, we can express the wavelength with three significant digits as well:
λ = 172 m
Therefore, the wavelength of the radio waves transmitted by the television station is approximately 172 meters.