Calculate the frequency of the green light emitted by a hydrogen atom with a wavelength of 486.1 nm. A) 1.46 × 10¹⁴s^-1 B) 6.86 × 10¹⁴s^-1 C) 4.33 × 10¹⁴s^-1 D) 6.17 × 10¹⁴s^-1 E) 1.62 × 10¹⁴s^-1

Question

Quizplus · Accepted Answer

The formula to calculate the frequency of light is:

frequency = speed of light / wavelength

The speed of light is constant and is approximately 3.00 x 10^8 m/s.

First, we need to convert the given wavelength from nanometers (nm) to meters (m):

486.1 nm = 4.861 x 10^-7 m

Substituting this value into the formula:

frequency = (3.00 x 10^8 m/s) / (4.861 x 10^-7 m)

frequency = 6.17 x 10^14 Hz

Therefore, the frequency of the green light emitted by a hydrogen atom is 6.17 x 10^14 Hz. The correct choice is D.

Calculate the Frequency of the Green Light Emitted by a Hydrogen