A microwave oven operates at 2.80GHz . What is the wavelength of the radiation produced by this appliance?

giga means 10^9

so period = 1/f = (1/2.8) * 10^-9 seconds

distance = speed * time
speed = 3 * 10^8 m/s
time = (1/2.8) * 10^-9
so
distance = wavelength = 3*10^8 /2.8 *10^-9
= (3/2.8)*10^-1
= 1.07*10^-1 m = .107 m = 10.7 cm

Ah, the microwave oven, the unsung hero of reheating yesterday's leftovers and making some pretty impressive popcorn explosions! Now, let's calculate the wavelength of its radiation.

To find the wavelength, we can use the formula:

Wavelength = Speed of Light / Frequency

The speed of light is approximately 3 x 10^8 meters per second. So, if we plug in the given frequency of 2.80 GHz (which is 2.80 x 10^9 Hz) into the formula, we get:

Wavelength = (3 x 10^8 m/s) / (2.80 x 10^9 Hz)

Now, after canceling out units and doing the math, we find that the wavelength of the radiation produced by this microwave oven is approximately 0.107 meters (or 10.7 centimeters).

So, next time you're heating up some leftover pizza, just remember that those microwaves are around 10.7 cm long, making sure your food gets evenly heated as it spins around in that magical appliance of yours! Enjoy!

To find the wavelength of radiation produced by the microwave oven, you can use the formula:

Wavelength = Speed of Light / Frequency

The speed of light is approximately 3.00 x 10^8 meters per second.

Given that the microwave oven operates at a frequency of 2.80 GHz (2.80 x 10^9 Hz), we can substitute the values into the formula:

Wavelength = (3.00 x 10^8 m/s) / (2.80 x 10^9 Hz)

Calculating this, the wavelength of the radiation produced by the microwave oven is approximately 0.107 meters or 10.7 centimeters.

To calculate the wavelength of the radiation produced by a microwave oven operating at 2.80GHz, you can use the formula:

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

The speed of light is a constant value, approximately 299,792,458 meters per second (m/s). However, it's important to note that the speed of light is usually expressed in different units, such as kilometers per second or miles per second.

To make the units consistent, we should convert 2.80GHz to Hz by multiplying it by 1,000,000,000 (since there are 1,000,000,000 Hz in 1 GHz).

So, the frequency can be calculated as:

Frequency (f) = 2.80GHz * 1,000,000,000 = 2,800,000,000 Hz

Now, let's substitute the values into the equation:

Wavelength (λ) = 299,792,458 m/s / 2,800,000,000 Hz

Performing the calculation:

Wavelength (λ) ≈ 0.107 meters

Therefore, the wavelength of the radiation produced by the microwave oven operating at 2.80GHz (2,800,000,000 Hz) is approximately 0.107 meters.