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.

Respuesta :

Answer:[tex]f=272727.272Hz[/tex]

Explanation:

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

[tex]c=f.\lambda[/tex]   (1)

Where:

[tex]c=3(10)^{8}\frac{m}{s}[/tex] is the speed of light

[tex]f[/tex] the frequency

[tex]\lambda=1.1km=1100m[/tex] the wavelength

So, we have to find [tex]f[/tex]  from (1):

[tex]f=\frac{c}{\lambda}[/tex]   (2)

[tex]f=\frac{3(10)^{8}\frac{m}{s}}{1100m}[/tex]

Finally:

[tex]f=272727.272\frac{1}{s}[/tex]

Knowing [tex]1Hz=\frac{1}{s}[/tex]

[tex]f=272727.272Hz[/tex]