Question

What is the wavelength of 101-WCHEM its broadcasting frequency is 101.9 megahertz?

Answer 1

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.