Calculate the frequency of light associated with the transition from n = 2 to n = 3 in the hydrogen atom. A) 2.19 × 10¹⁴ s^-1 B) 5.59 × 10¹⁴ s^-1 C) 4.57 × 10¹⁴ s^-1 D) 1.79 × 10¹⁴ s^-1 E) 3.28 × 10¹⁴ s^-1

Question

Quizplus · Accepted Answer

The frequency of light associated with the transition from n = 2 to n = 3 in the hydrogen atom can be calculated using the formula:

frequency = R_H * (1/n_final^2 - 1/n_initial^2)

where R_H is the Rydberg constant for hydrogen, n_final is the final energy level (in this case, n = 3), and n_initial is the initial energy level (in this case, n = 2).

Substituting the values, we get:

frequency = 3.29 x 10^15 Hz = 4.57 x 10^14 s^-1

Therefore, the best choice is C.

Calculate the Frequency of Light Associated with the Transition from N