What is the wavelength of 101-WCHEM its broadcasting frequency is 101.9 megahertz?
The relationship between the frequency of an electromagnetic wave and its wavelength is given by this formula:
c = λ * f
where, c stands for the speed of light, λ is the wavelength and f is the frequency.
According to our problem:
f = 101.9 megahertz
λ = ??
And we can search for the value of the speed of light:
c = 2.99 * 10⁸ m/s
To solve the problem we have to convert MHz into cycles/sec
1 MHz = 1 000 000 Hz = 1 * 10⁶ Hz
1 Hz = 1 cycle/sec
f = 101.9 MHz * (1 * 10⁶ Hz) / (1 MHz) = 1.019 * 10⁸ Hz = 1.019 * 10⁸ cycles/sec
Our unknown is the wavelength. Let's solve our formula for λ:
λ = c / f
Replacing:
λ = (2.99 * 10⁸ m/s) / ( 1.019 * 10⁸ cycles/s)
λ = 2.93 m
The wavelength of 101-WCHEM is 2.93 m.
If we want to convert it to cm:
100 cm = 1 m
λ = 2.93 m * 100 cm/(1 m) = 293 cm
The wavelength of 101-WCHEM is 293 cm.