Respuesta :

AL2006

Wavelength = (speed) / (frequency)

Wavelength = (300 thousand km per second) / (10.5 billion per second)

Wavelength = (300 / 10.5) (thousand km per second) / (billion per second)

Wavelength = (28.57) (million meters / second) / (thousand million / second)

Wavelength = (28.57) (meters / second) / (thousand / second)

Wavelength = (28.57) (meters / thousand)

Wavelength = (28.57) (millimeters)

nuhulawal20

The expected wavelength the given microwaves in free space is  2.857cm.

Given the data in the question;

Frequency; [tex]f = 10.5GHz = 1.05 *10^{10}Hz[/tex]

To determine the expected wavelength, we use the equation for the relation of wavelength, frequency and speed of light:

[tex]\lambda = \frac{c}{f}[/tex]

Where [tex]\lambda[/tex] is wavelength, f is the frequency and c is the speed of light ( [tex]c = 3.0*10^8m/s[/tex] )

We substitute our values into the equation

[tex]\lambda = \frac{3.0*10^8m/s}{1.05 *10^{10}Hz} \\\\\lambda = \frac{3.0*10^8m/s}{1.05 *10^{10}s^{-1}}\\\\\lambda = 0.02857m\\\\\lambda = 2.857cm[/tex]

Therefore, the expected wavelength the given microwaves in free space is  2.857cm.

Learn more: https://brainly.com/question/9710259

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