A radio tunes in radio waves which have a wavelength of 3.13 meters. What frequency is the radio tuned to in MHz?
and the wave equationis...
frequency*wavelength=speed of light
solve for frequency.
is 200KHZ
To find the frequency in MHz, we need to use the formula:
Frequency = Speed of Light / Wavelength
The speed of light is approximately 299,792,458 meters per second. However, the wavelength is given in meters, while the final answer should be in MHz (megahertz).
So, we need to convert the speed of light from meters per second to megahertz.
1 megahertz (MHz) = 1,000,000 hertz (Hz)
1 second = 1,000,000 microseconds (μs)
First, let's convert the speed of light:
299,792,458 meters/second * (1 μs/10^-6 seconds) = 299,792.458 meters/μs
Next, let's convert the wavelength from meters to μs:
3.13 meters * (1 μs/10^-6 meters) = 3,130,000 μs
Now, let's plug these values into the formula:
Frequency = 299,792.458 meters/μs / 3,130,000 μs
Calculating this:
Frequency = 96.024 MHz
Therefore, the radio is tuned to a frequency of 96.024 MHz.