The frequency of the electromagnetic waves in a microwave oven is 2.2 GHz.

A large piece of cake is placed inside this microwave oven without the rotating plate, and left to cook for a while.

Once the cake is cut, the distance between adjacent uncooked points is closest to ...

..a half wavelength. Compute the wavelength from the speed lf light and the frequency.

There are uncooked points because of standing (micro)waves inside the oven enclosure.

c/(2*(2.2*10^9))= wavelength

6.81cm

To determine the distance between adjacent uncooked points on the cake, we need to consider the wavelength of the electromagnetic waves produced by the microwave oven. The wavelength can be found using the formula:

Wavelength = Speed of Light / Frequency

In this case, the frequency of the microwave oven is given as 2.2 GHz, which means 2.2 x 10^9 Hz. The speed of light in a vacuum is approximately 3 x 10^8 meters per second.

So, let's calculate the wavelength:

Wavelength = 3 x 10^8 / (2.2 x 10^9)
= 0.136 meters or 13.6 centimeters

This means that the distance between adjacent uncooked points on the cake will be approximately 13.6 centimeters.