Final answer:
Microwaves are a form of electromagnetic radiation. The frequency of a microwave with a wavelength of 5.2 cm is approximately 5.77 x 10^9 Hz.
Step-by-step explanation:
Microwaves are a form of electromagnetic radiation with wavelengths ranging from 1 mm to 1 m. The frequency of a wave can be found using the equation v = fλ, where v is the wave speed, f is the frequency, and λ is the wavelength.
Given that the wavelength of the microwave is 5.2 cm, we can convert it to meters by dividing by 100: 5.2 cm / 100 = 0.052 m.
Plugging this into the equation, we have v = f × 0.052. Rearranging the equation to solve for f, we get f = v / 0.052.
Since we know the wave speed of microwaves is approximately 3 × 10^8 m/s, we can substitute this value into the equation to find the frequency: f = 3 × 10^8 / 0.052 = 5.77 × 10^9 Hz.
Therefore, the frequency of a microwave with a wavelength of 5.2 cm is approximately 5.77 × 10^9 Hz.