Final answer:
The frequency of light with a wavelength of 430 nm is 7.00 x 10^14 Hz and the energy of a photon with that wavelength is 4.63 x 10^-19 J.
Step-by-step explanation:
The frequency of light with a wavelength of 430 nm can be calculated using the equation:
c = λν
Where c is the speed of light (approximately 3.00 x 10^8 m/s), λ is the wavelength, and ν is the frequency. Rearranging the equation to solve for frequency, we have:
ν = c / λ
Plugging in the values, we get:
ν = (3.00 x 10^8 m/s) / (430 nm)
Converting nanometers to meters:
ν = (3.00 x 10^8 m/s) / (430 x 10^-9 m)
Calculating the frequency:
ν = 7.00 x 10^14 Hz
Therefore, the correct answer is option (B) (7.00 x 10^14 Hz).
The energy of a photon can be calculated using the equation:
E = hν
Where E is the energy, h is Planck's constant (approximately 6.63 x 10^-34 J·s), and ν is the frequency. Rearranging the equation to solve for energy, we have:
E = hν
E = (6.63 x 10^-34 J·s) x (7.00 x 10^14 Hz)
Calculating the energy:
E = 4.63 x 10^-19 J
Therefore, the correct answer is option (A) (4.63 x 10^-19 J).