Answers (2)
s = d/t speed equals distance divided by time. You are not given speed for this problem, but at that frequency it can only be the speed of light and we have to assume the speed of light in a vacuum. Speed varies depending on the material. The speed of light in a vacuum is 3 x 10^8 meters per second. Frequency is cycles per second, and you want seconds per cycle, so use the inverse.
3 x 10^8 = d/(1/(3 x 10^9))
3 x 10^8 x 1/(3 x 10^9) = d
d = 0.1 meter