What is the wavelength in meters of radio waves produced by a radio station with a frequency of 1400 kHz?
Is it 214.3 m?
c/f = 2.998*10^8/1400*10^3 = 214.1 m
If you are going for 4 significant figures, you need to use a more exact speed of light. You must have used 3*10^8 m/s
Your answer is close enough
To find the wavelength (λ) in meters of radio waves, you can use the formula:
λ = c/f
where:
λ = wavelength (in meters)
c = speed of light (approximately 3 × 10^8 meters per second)
f = frequency (in hertz or cycles per second)
In this case, the frequency of the radio waves is given as 1400 kHz, which is equivalent to 1.4 × 10^6 hertz.
Plugging these values into the formula:
λ = (3 × 10^8 meters per second) / (1.4 × 10^6 hertz)
Calculating this, you would get an approximate answer of 214.3 meters.
So, your answer of 214.3 m is correct.
To calculate the wavelength in meters of a radio wave, you can use the formula:
Wavelength = Speed of Light / Frequency
Given that the speed of light is approximately 3 x 10^8 meters per second, and the frequency of the radio station is 1400 kHz (which is equivalent to 1.4 x 10^6 Hz), we can substitute these values into the formula:
Wavelength = (3 x 10^8 meters/second) / (1.4 x 10^6 Hz)
By performing the calculation, we find:
Wavelength ≈ 214.3 meters
So, your answer of 214.3 meters is correct. Well done!