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Determine the wavelength of the microwave radiation emitted by a microwave oven ([tex]f = 2.45 \times 10^9 \text{ Hz}[/tex]).

Answer :

Final answer:

The wavelength of the microwave radiation emitted by a microwave oven at a frequency of 2.45x10⁹ Hz is approximately 0.122 meters, calculated using the formula for the speed of light divided by the frequency.

Explanation:

To determine the wavelength of the microwave radiation emitted by a microwave oven with a frequency of 2.45x10⁹ Hz, we can use the formula for the speed of electromagnetic waves, which is c = λf, where c is the speed of light (approximately 3x10⁸ m/s), λ is the wavelength, and f is the frequency. We can rearrange this formula to solve for wavelength: λ = c/f.

Substituting the given values, we get λ = (3x10⁸ m/s) / (2.45x10⁹ Hz), which equals approximately 0.122 meters. Therefore, the wavelength of the microwave radiation is about 0.122 meters.

As a secondary note, the information provided indicates that microwave ovens produce radiation that causes polar molecules, like water, to rotate faster, thus heating up food.

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