Final answer:
The frequency of a laser pointer with a wavelength of 663 nm is approximately 4.52 x 10^14 Hz, calculated using the relationship c = λ x f where c is the speed of light (3.0 x 10^8 m/s) and λ is the wavelength in meters.
Step-by-step explanation:
To calculate the frequency of a laser pointer with a wavelength of 663 nm (nanometers), we need the speed of light and the relationship between wavelength, frequency, and speed denoted by c = λ x f, where c is the speed of light, λ is the wavelength, and f is the frequency. The speed of light is constant at approximately 3.0 × 108 m/s. To perform the calculation, the wavelength must be converted from nanometers to meters (663 nm = 663 × 10−9 m).
To find the frequency (f), we rearrange the formula to f = c / λ.
So, f = (3.0 × 108 m/s) / (663 × 10−9 m) = 4.52 × 1014 Hz
The frequency of a laser pointer with a wavelength of 663 nm is therefore approximately 4.52 × 1014 Hz, which falls well within the range of visible light frequencies.