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 ...
1/2 of the microwave wavelength. That is the distance between nodes of the standing wave pattern.
For the wavelength, use the equation
wavelength = c/frequency
To find the distance between adjacent uncooked points on the cake, we need to consider the wavelength of the microwave waves. The wavelength can be calculated using the formula:
wavelength = speed of light / frequency
The speed of light is approximately 3 x 10^8 meters per second. Since the frequency of the microwave waves is given as 2.2 GHz (2.2 x 10^9 Hz), we can substitute these values into the formula to find the wavelength.
wavelength = (3 x 10^8 m/s) / (2.2 x 10^9 Hz)
wavelength ≈ 0.136 meters
So the distance between adjacent uncooked points on the cake will be approximately 0.136 meters or 13.6 centimeters.