Suppose a manufacturing error occurred and the oven was made 4.0 cm longer than specified in part (a). In this case, what would have to be the frequency of the microwaves for there still to be five antinodal planes of the electric field along the width of the oven?

2.17*10^9 Hz

Explanation:

Suppose a manufacturing error occurred and the oven was made 4.0 cm longer than specified in part (a). In this case, the frequency of the microwaves for which there are five antinodal planes of the electric field along the width of the oven is calculated as shown below.

In the given question, we have the following variables:

speed = c = 3*10^10 cm/s

wavelength = λ = 12.2 + (4/2.5) = 13.8 cm

Using the equation that relates frequency, wavelength, and speed. We have:

f = c/λ = 3*10^10/13.8 = 2.17*10^9 Hz

Therefore, the frequency of the microwave is 2.17*10^9 Hz.