Question

Violet light has a frequency of 7.26 × 1014 Hz and travels at a speed of 3.00 × 108 m/s.

What is the wavelength of violet light, rounded to the nearest nanometer?

Answer 1

The wavelength of violet light is approximately 413 nm.

Step-by-step explanation:

The wavelength of violet light can be determined using the formula λ = c/f, where λ is the wavelength, c is the speed of light, and f is the frequency. In this case, the frequency of violet light is given as 7.26 × 1014 Hz and the speed of light is 3.00 × 108 m/s. Plugging these values into the formula, we get:

λ = (3.00 × 108 m/s) / (7.26 × 1014 Hz)

λ ≈ 4.13 × 10-7 m

Converting this wavelength to nanometers, we multiply by 109 to get:

λ ≈ 413 nm

Answer 2

The relation between frequency, F, and wave length, L of the light is:

F = c / L, where c is the speed of light

Then, L = c / F = 3.00 x 10^8 m/s / 7.26 x 10^14 s^-1 = 0.413 x 10^ -6 m = 4.13 x 10 ^-7 m