Final answer:
The frequency of a typical microwave oven with a wavelength of 0.12 m is approximately 2.5 GHz, which is consistent with the common microwave frequency of 2.45 GHz.
Step-by-step explanation:
The frequency of a typical microwave oven with a wavelength of 0.12 m can be calculated using the speed of light (which is the speed of microwave radiation), where the speed of light (c) equals frequency (f) times wavelength (λ).
Using the formula c = f × λ, where c = 3 × 10^8 m/s (the speed of light in a vacuum) and λ = 0.12 m (the given wavelength), we can rearrange the formula to solve for frequency:
f = c / λ
Plugging in the numbers:
f = (3 × 10^8 m/s) / 0.12 m
f ≈ 2.5 × 10^9 Hz
Thus, the frequency of a typical microwave oven with a wavelength of 0.12 m is approximately 2.5 GHz, which aligns well with a typical microwave's frequency of 2.45 GHz.