To find the wavelength of the electromagnetic waves emitted by a microwave oven, you can use the formula:
\[ \text{Wavelength} = \frac{\text{Speed of Light}}{\text{Frequency}} \]
1. Speed of light in a vacuum is approximately \( 3.00 \times 10^8 \) meters per second.
2. The frequency given in the question is \( 2.45 \times 10^9 \) Hz.
Substitute these values into the formula:
\[ \text{Wavelength} = \frac{3.00 \times 10^8 \, \text{m/s}}{2.45 \times 10^9 \, \text{Hz}} \]
Calculate the wavelength in meters:
\[ \text{Wavelength} = \frac{3.00}{2.45} \times 10^{8-9} \, \text{m} \]
\[ \text{Wavelength} = 1.22 \times 10^{-1} \, \text{m} \]
Convert the wavelength from meters to centimeters:
1 meter = 100 centimeters
\[ \text{Wavelength} = 1.22 \times 10^{-1} \times 100 \, \text{cm} \]
\[ \text{Wavelength} = 12.2 \, \text{cm} \]
Therefore, the wavelength of the electromagnetic waves emitted by the microwave oven is 12.2 centimeters.
