A student uses a microwave oven to heat a meal. The wavelength of the radiation is 2.40 cm. What is the energy of one photon of this microwave radiation?

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Honourmish · Answer 1 · 2022-07-19T13:03:25+0000

To calculate the energy of one photon of microwave radiation, you can use the formula:

Energy (E) = Planck's Constant (h) * Speed of Light (c) / Wavelength (λ)

Where: Planck's Constant (h) = 6.626 x 10^-34 joule seconds Speed of Light (c) = 2.998 x 10^8 meters per second (approximately)

First, you need to convert the wavelength from centimeters to meters:

Wavelength (λ) = 2.40 cm = 2.40 x 10^-2 meters

Now, plug the values into the formula:

Energy (E) = (6.626 x 10^-34 J s) * (2.998 x 10^8 m/s) / (2.40 x 10^-2 m)

Calculate the energy:

E ≈ 8.27 x 10^-23 joules

So, the energy of one photon of this microwave radiation is approximately 8.27 x 10^-23 joules.