What is the expected wavelength (in cm) of 10.5 ghz microwaves in free space?

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

Given the data in the question;

Frequency;

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

Where is wavelength, f is the frequency and c is the speed of light ( )

We substitute our values into the equation

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

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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)

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