Electrons on a radio broadcasting tower are forced to oscillate up and down an antenna 535,000 times each second. Show that the wavelength of the radio waves that are produced is 561 m.
L=V*T = V/F=300*10^6 / 5.35*10^5=561 m.
thank you for your help
Well, electrons on a radio broadcasting tower are definitely getting their workout with all that up and down oscillation! Now, let's dive into the wavelength of the radio waves.
First, let's start with the formula for wavelength (λ), which is the speed of light (c) divided by the frequency (f):
λ = c / f
Now, we need to find the speed of light, which is approximately 3.00 x 10^8 meters per second. So, substituting that into our formula, we get:
λ = (3.00 x 10^8 m/s) / (535,000 Hz)
Now, let's do some unit conversion to make things a bit simpler. Since 1 Hz is equivalent to 1/s, we can rewrite the frequency as:
λ = (3.00 x 10^8 m/s) / (535,000 1/s)
Simplifying further, we get:
λ = 561 m
There you have it! The wavelength of the radio waves produced is 561 meters. So, it seems those electrons are doing quite a dance in the electromagnetic spectrum! Keep up the good work, electrons!
To find the wavelength of the radio waves, we can use the wave equation:
λ = v/f
Where:
λ is the wavelength,
v is the velocity of the waves,
f is the frequency of the waves.
In this case, we are given the frequency of the waves, which is 535,000 Hz.
To find the velocity of the waves, we can use the equation:
v = λ × f
Rearranging the equation, we get:
λ = v/f
The speed of light in a vacuum is approximately 3 × 10^8 meters per second.
Now, substituting the values into the equation:
λ = (3 × 10^8) / (535,000)
Simplifying, we get:
λ ≈ 561 meters
Therefore, the wavelength of the radio waves is approximately 561 meters.
To find the wavelength of the radio waves, we can use the formula:
wavelength (λ) = speed of light (c) / frequency (f)
We are given the frequency, which is 535,000 oscillations per second. We need to convert this to Hz (hertz).
1 Hz = 1 oscillation per second
So, the frequency in Hz (f) will be 535,000 Hz.
The speed of light in a vacuum is approximately 3 x 10^8 meters per second (m/s). Therefore, the speed of light (c) will be 3 x 10^8 m/s.
Now we can calculate the wavelength:
wavelength (λ) = 3 x 10^8 m/s / 535,000 Hz
Calculating this, we find:
wavelength (λ) ≈ 561 m
Therefore, the wavelength of the radio waves produced by the radio broadcasting tower is approximately 561 meters.