Final answer:
The frequency of a wave can be found using the equation c = fλ, where c is the speed of light, f is the frequency, and λ is the wavelength. Rearranging the equation, we can calculate the frequency when the wavelength is given. The frequency of a wavelength of 6.9 x 10⁻¹³ m is approximately 4.35 x 10^20 Hz.
Step-by-step explanation:
The frequency of a wave is determined by its wavelength. The equation that relates frequency, wavelength, and the speed of light is given by c = fλ, where c is the speed of light (3.00 × 108 m/s), f is the frequency, and λ is the wavelength.
In this case, the wavelength is given as 6.9 x 10⁻¹³ m. We can rearrange the equation to solve for the frequency.
f = c / λ
Plugging in the values:
f = (3.00 × 10^8 m/s) / (6.9 x 10⁻¹³ m)
f ≈ 4.35 x 10^20 Hz