Your 1.1 cubic foot GE microwave oven generates 1100 watts of microwaves at a frequency of 2.45 GHz.

a. What is the wavelength of the microwave radiation being emitted?
b. How many photons per second of microwaves are being emitted?

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a. To find the wavelength of the microwave radiation being emitted, we can use the formula:

Wavelength (λ) = Speed of Light (c) / Frequency (f)

The speed of light is approximately 3 x 10^8 meters per second (m/s), and the frequency is given as 2.45 GHz, which can be converted to 2.45 x 10^9 Hz.

Plugging in the values into the formula, we have:

Wavelength (λ) = 3 x 10^8 m/s / 2.45 x 10^9 Hz

Calculating this expression, we get:

Wavelength (λ) = 0.1224 meters or 12.24 centimeters

Therefore, the wavelength of the microwave radiation being emitted is approximately 0.1224 meters or 12.24 centimeters.

b. To calculate the number of photons per second of microwaves being emitted, we need to use the equation:

Energy per Photon = Planck's Constant (h) x Frequency (f)

Planck's Constant is approximately 6.626 x 10^-34 Joule-seconds (J•s). The frequency of the microwaves is given as 2.45 GHz, which can be converted to 2.45 x 10^9 Hz.

Using the formula, we have:

Energy per Photon = 6.626 x 10^-34 J•s x 2.45 x 10^9 Hz

Calculating this expression, we get:

Energy per Photon = 1.6197 x 10^-24 Joules

To find the number of photons per second, we need to consider the power output of the microwave oven. It generates 1100 watts of power, which represents the energy emitted per second.

So, the number of photons per second can be found by dividing the power (in joules/s) by the energy per photon:

Number of photons per second = Power / Energy per Photon

Number of photons per second = 1100 Joules/s / 1.6197 x 10^-24 Joules

Calculating this expression, we get:

Number of photons per second ≈ 6.79 x 10^26 photons/s

Therefore, approximately 6.79 x 10^26 photons of microwaves are being emitted per second.