Answer:
5.09 x 10⁶ s⁻¹ = 5.09 x 10⁶ Hz
Explanation:
The relation between frequency (ν) and wavelength (λ) is given by:
λ = c/ν
where c is the speed of light (2.998 m/s) and it is a constant.
So, we first convert the wavelength from nanometers (nm) to meters (m) (1 nm = 1 x 10⁻⁹):
λ= 589 nm x (10⁻⁹ nm/1 m) = 5.89 x 10⁻⁷ m
Then, we calculate the frequency from the equation:
λ = c/ν ⇒ ν = c/λ = (2.998 m/s)/(5.89 x 10⁻⁷ m) = 5.09 x 10⁶s⁻¹ = 5.09 x 10⁶ Hz
