What is the wavelength of the radio waves broadcast by an FM radio station with a frequency of 90.5 MHz?
lambda= speedoflight/frequency
Memorize the wave equation
f*lambda= speedofpropogation.
u don't knpw
wavelength = speed of light divided by frequency.
So take 2.998x10^9 m/s divided by 90.5x10^6 s^-1
Remember Hz is per second. M is mega or 10^6.
Units are the key to solving this!
To find the wavelength of a radio wave, you can use the formula:
Wavelength = Speed of Light / Frequency
The speed of light is a constant value equal to approximately 3.00 x 10^8 meters per second.
First, convert the frequency from MHz to Hz by multiplying it by 1,000,000:
90.5 MHz * 1,000,000 = 90,500,000 Hz
Now, you can substitute the values into the formula:
Wavelength = (3.00 x 10^8 m/s) / 90,500,000 Hz
By dividing these values, you can find the wavelength:
Wavelength ≈ 3.319 meters
Therefore, the wavelength of the radio waves broadcast by the FM radio station with a frequency of 90.5 MHz is approximately 3.319 meters.