Final answer:
To find the frequency of light with a wavelength of 456 nm: convert the wavelength to meters, and then apply the speed of light formula to get a result of approximately 6.58 × 1014 Hz.
Step-by-step explanation:
The frequency of light can be determined by using the speed of light and the wavelength of the light. To find the frequency (v) in hertz (Hz) when the wavelength is given in nanometers (nm), we use the formula:
v = c / λ
where c is the speed of light in a vacuum (approximately 3.0 × 108 m/s), and λ (lambda) is the wavelength in meters.
For a light with a wavelength of 456 nm:
- First, convert 456 nm to meters (1 nm = 1 × 10-9 m), which gives 456 × 10-9 m.
- Next, apply the formula: v = 3.0 × 108 m/s / 456 × 10-9 m.
- This calculation results in a frequency of about 6.58 × 1014 Hz.
Hence, the light with a wavelength of 456 nm has a frequency of approximately 6.58 × 1014 Hz.