A radio transmits at a frequency of 6 * 10^5Hz. If the speed of the signals is 3 * 10^8m/s, calculate the wavelength of th wave.
look at the units:
f = 1/s
speed = m/s
So, wavelength (m) = speed/f
To calculate the wavelength of a wave, we can use the formula:
wavelength = speed of the wave / frequency of the wave
Given:
Frequency (f) = 6 * 10^5 Hz
Speed (v) = 3 * 10^8 m/s
Using the formula:
wavelength = v / f
Substituting the given values:
wavelength = (3 * 10^8 m/s) / (6 * 10^5 Hz)
To simplify this calculation, we can divide both the numerator and denominator by 10^5:
wavelength = (3 * 10^3 m) / 6
Dividing:
wavelength = 500 m
Therefore, the wavelength of the wave is 500 meters.
To calculate the wavelength of a wave, you can use the formula:
λ = v / f
where:
λ is the wavelength of the wave,
v is the speed of the wave, and
f is the frequency of the wave.
In this case, the frequency f is given as 6 * 10^5 Hz, and the speed v is given as 3 * 10^8 m/s.
Substituting these values into the formula, we can calculate the wavelength:
λ = (3 * 10^8 m/s) / (6 * 10^5 Hz)
Now, let's simplify this equation. Since both the numerator and the denominator have the same base (10), we can divide the coefficient. The powers of 10 will remain as exponents.
λ = (3 / 6) * (10^8 / 10^5) m
Next, let's simplify the fraction:
λ = (1/2) * 10^(8 - 5) m
The exponent is subtracted because the bases are the same.
λ = (1/2) * 10^3 m
Finally, let's calculate the value of 10^3:
10^3 = 1,000
Therefore, the wavelength is:
λ = (1/2) * 1,000 m
Simplifying the fraction:
λ = 500 m
So, the wavelength of the wave is 500 meters.