Standing waves and microwave ovens

[pianogirl]

Homework Statement

With a wavelength of 12cm, how do I show that the microwave frequency is approx. 2.5GHz?

Homework Equations

v=f x lambda

The Attempt at a Solution

I'm confused about the wave speed bit...

 

[Delphi51]

Try putting the given numbers into the formula you wrote and see what happens!
We'll help you out if you show your work.

 

[kerimek]

I can help you understand the relationship between wavelength and frequency in standing waves and how it relates to microwave ovens. In order to show that the microwave frequency is approximately 2.5GHz with a wavelength of 12cm, we can use the equation v = f x lambda, where v is the wave speed, f is the frequency, and lambda is the wavelength. In this case, the wave speed is the speed of light, which is approximately 3 x 10^8 m/s.

To convert the wavelength from centimeters to meters, we divide by 100 to get 0.12m. Plugging in these values into the equation, we get:

3 x 10^8 m/s = f x 0.12m

Solving for f, we get:

f = 3 x 10^8 m/s ÷ 0.12m = 2.5 x 10^9 Hz = 2.5GHz

Therefore, we can see that the microwave frequency is approximately 2.5GHz. This frequency is within the typical range of 2.4 to 2.5GHz used in microwave ovens. The standing waves created by these microwaves help to evenly distribute the energy and cook food efficiently. I hope this helps clarify the relationship between wavelength and frequency in standing waves and how it applies to microwave ovens.