Question

If violet light has a wavelength of 380nm, please calculate the frequency and energy of this light. *You must convert to m first!

Options:
A) Frequency: 7.89 x 10^14 Hz, Energy: 3.31 x 10^-19 J
B) Frequency: 7.89 x 10^14 Hz, Energy: 3.31 x 10^-20 J
C) Frequency: 7.89 x 10^13 Hz, Energy: 3.31 x 10^-19 J
D) Frequency: 7.89 x 10^13 Hz, Energy: 3.31 x 10^-20 J

Answer 1

The frequency of violet light with a wavelength of 380nm is 7.89 x 10^14 Hz and the energy is 3.31 x 10^-19 J.

Step-by-step explanation:

To calculate the frequency of violet light with a wavelength of 380nm, we can use the formula:

frequency = speed of light / wavelength

Given that the speed of light is approximately 3 x 10^8 m/s, we can convert the wavelength to meters (380nm = 380 x10^-9 m) and calculate the frequency:

frequency = (3 x 10^8 m/s) / (380 x 10^-9 m) = 7.89 x 10^14 Hz

To calculate the energy of the violet light, we can use the formula:

energy = Planck's constant x frequency

Planck's constant is approximately 6.626 x 10^-34 J·s. Plugging in the frequency we just calculated:

energy = (6.626 x 10^-34 J·s) x (7.89 x 10^14 Hz) = 3.31 x 10^-19 J