Answer:
Step-by-step explanation:
To determine the frequency and energy of light with a given wavelength, you can use the following equations:
The speed of light (c) is approximately 3.00 x 10^8 meters per second (m/s). This constant is crucial for these calculations.
The frequency (ν) of light is related to its wavelength (λ) by the equation:
ν = c / λ
The energy (E) of a photon of light is related to its frequency by the equation:
E = h * ν
Where:
ν is the frequency in hertz (Hz).
λ is the wavelength in meters (m).
E is the energy in joules (J).
c is the speed of light (approximately 3.00 x 10^8 m/s).
h is Planck's constant, which is approximately 6.626 x 10^-34 J·s.
Given the wavelength (λ) of 717.2 nm (nanometers), you first need to convert it to meters:
λ = 717.2 nm = 717.2 x 10^-9 m
Now, you can calculate the frequency (ν):
ν = c / λ
ν = (3.00 x 10^8 m/s) / (717.2 x 10^-9 m)
ν ≈ 4.18 x 10^14 Hz
Now, you can calculate the energy (E):
E = h * ν
E ≈ (6.626 x 10^-34 J·s) * (4.18 x 10^14 Hz)
E ≈ 2.77 x 10^-19 Joules
So, the frequency of light with a wavelength of 717.2 nm is approximately 4.18 x 10^14 Hz, and its energy is approximately 2.77 x 10^-19 Joules.