Question

What is the frequency of an electromagnetic wave if it has a wavelength of 1.1 km? The speed of light is 3 × 108 m/s. Answer in units of Hz.

Answer 1

Answer:$f=272727.272Hz$

Explanation:

The speed of light (electromagnetic wave) is given by the following formula:

$c=f.\lambda$   (1)

Where:

$c=3(10)^{8}\frac{m}{s}$ is the speed of light

$f$ the frequency

$\lambda=1.1km=1100m$ the wavelength

So, we have to find $f$  from (1):

$f=\frac{c}{\lambda}$   (2)

$f=\frac{3(10)^{8}\frac{m}{s}}{1100m}$

Finally:

$f=272727.272\frac{1}{s}$

Knowing $1Hz=\frac{1}{s}$

$f=272727.272Hz$