Microwaves travel at the speed of light, 3.00×108 m/s.
When the frequency of microwaves is 5.60×109 Hz, what is their wavelength?
Answer in units of m.
To calculate the wavelength of microwaves, you can use the formula:
wavelength (λ) = speed of light (c) / frequency (f)
Given that the speed of light is 3.00×10^8 m/s and the frequency is 5.60×10^9 Hz, let's plug these values into the formula:
wavelength = (3.00×10^8 m/s) / (5.60×10^9 Hz)
Now, let's simplify the expression:
wavelength = 0.05357 m
Therefore, the wavelength of these microwaves is approximately 0.05357 meters (or 5.36 cm).
To find the wavelength of microwaves, we can use the formula:
wavelength = speed of light / frequency
First, let's substitute the known values into the formula:
speed of light = 3.00×10^8 m/s
frequency = 5.60×10^9 Hz
Now we can calculate the wavelength:
wavelength = (3.00×10^8 m/s) / (5.60×10^9 Hz)
To divide these two numbers, we can cancel out the common units:
wavelength = (3.00/5.60) × (10^8 / 10^9) m
By simplifying the fractions, we get:
wavelength = 0.5357 × 10^(-1) m
To express this in decimal form, we move the decimal point one place to the left:
wavelength = 0.05357 m
Therefore, the wavelength of microwaves with a frequency of 5.60×10^9 Hz is 0.05357 meters (m).