Final answer:
The wavelength of an electromagnetic wave with a frequency of 3 × 10⁹ Hz and a velocity of 3 × 10⁸ m/s is 0.1 meters.
Step-by-step explanation:
The question asks for the wavelength of an electromagnetic wave with a given frequency and velocity. To find the wavelength (λ), we can use the formula λ = c/f, where c is the speed of the wave and f is the frequency. Since the speed of the wave (c) is given as 3 × 10⁸ m/s, equivalent to the speed of light, and the frequency (f) is given as 3 × 10⁹ Hz, the wavelength can be found by dividing the speed by the frequency:
λ = c/f = (3 × 10⁸ m/s) / (3 × 10⁹ Hz) = 0.1 m
Thus, the wavelength of the wave is 0.1 meters. Note that in the example provided, the speed of light is approximated as 2.998 × 10⁸ m/s, but it is more commonly rounded to 3 × 10⁸ m/s in many calculations, hence we used the rounded value for this answer.