Suppose a popular FM radio station broadcasts radio waves with a frequency of 93. MHz. Calculate the wavelength of these radio waves.
Round your answer to 2 significant digits.
To calculate the wavelength of the radio waves, you can use the formula:
wavelength = speed of light / frequency
The speed of light is approximately equal to 3.00 x 10^8 meters per second (m/s).
Given that the frequency of the radio waves is 93 MHz, we need to convert it to hertz (Hz) by multiplying it by 1,000,000.
So, the frequency of the radio waves is 93 x 10^6 Hz.
Let's plug the values into the formula:
wavelength = (3.00 x 10^8 m/s) / (93 x 10^6 Hz)
wavelength ≈ 3.23 meters
Rounding to 2 significant digits, the wavelength of these radio waves is approximately 3.2 meters.
To calculate the wavelength of radio waves, you can use the formula:
Wavelength = Speed of Light / Frequency
The speed of light is a constant value of approximately 3.00 x 10^8 meters per second (m/s). The frequency of the radio waves is given as 93.0 MHz.
First, convert the frequency from megahertz (MHz) to hertz (Hz) by multiplying by 10^6:
93.0 MHz = 93.0 x 10^6 Hz
Now, substitute the values into the formula:
Wavelength = (3.00 x 10^8 m/s) / (93.0 x 10^6 Hz)
Perform the calculation to find the wavelength:
Wavelength = 3.23 meters (rounded to two significant digits)
Therefore, the wavelength of the radio waves from the FM station is approximately 3.23 meters.
wavelength =velocity / frequency
velocity = c = 3.0E8 m/s