Calculate the frequency of the green light emitted by a hydrogen atom with a wavelength of 486.1 nm. A) 1.462 × 10¹⁴s^-1 B) 6.868 × 10¹⁴s^-1 C) 4.332 × 10¹⁴s^-1 D) 6.172 × 10¹⁴s^-1 E) 1.626 × 10¹⁴s^-1

Question

Quizplus · Accepted Answer

We can use the equation:

c = λν

where c is the speed of light (3.00 x 10^8 m/s), λ is the wavelength (486.1 nm), and ν is the frequency (in Hz).

First, we need to convert the wavelength to meters:

λ = 486.1 nm = 4.861 x 10^-7 m

Now we can plug in the values and solve for ν:

3.00 x 10^8 m/s = (4.861 x 10^-7 m)ν

ν = (3.00 x 10^8 m/s)/(4.861 x 10^-7 m)
ν = 6.172 x 10^14 Hz

Therefore, the frequency of the green light emitted by the hydrogen atom is 6.172 x 10^14 Hz. Choice D is the correct answer.

Calculate the Frequency of the Green Light Emitted by a Hydrogen