Microwaves travel at the speed of light, 3.00 × 108 m/s.
When the frequency of microwaves is 5.93× 109 Hz, what is their wavelength?
Answer in units of m.
To find the wavelength of the microwaves, we can use the formula:
wavelength (λ) = speed of light (c) / frequency (f)
We are given that the speed of light is 3.00 × 10^8 m/s, and the frequency of the microwaves is 5.93 × 10^9 Hz. Substituting these values into the formula, we can calculate the wavelength:
λ = (3.00 × 10^8 m/s) / (5.93 × 10^9 Hz)
To simplify this calculation, divide the numerator and denominator by 10^8:
λ = 3.00 / 5.93 × (10^8 m/s) / (10^8 Hz)
Simplifying further:
λ = 0.505 × (10^8 m/s) / (10^8 Hz)
The units of m/s and Hz cancel each other out, leaving us with the wavelength in meters (m):
λ = 0.505 m
Therefore, the wavelength of the microwaves is 0.505 meters (m).