Use the Balmer equation to determine n for the spectral line of wavelength 434 nm.The constant for Balmer's equation is 3.2881 × 10¹⁵ s^-1. A)3 B)4 C)5 D)6 E)7

Question

Quizplus · Accepted Answer

The Balmer equation is given by:

1/lambda = R*(1/2^2 - 1/n^2)

where lambda is the wavelength of the spectral line, R is the Rydberg constant, and n is the principal quantum number of the energy level from which the electron falls to the energy level of the spectral line.

R = 3.2881 × 10^15 s^-1

lambda = 434 nm = 4.34 x 10^-7 m

Substituting these values in the Balmer equation, we get:

1/4.34 x 10^-7 = 3.2881 × 10^15*(1/2^2 - 1/n^2)

Solving for n, we get:

n = 5

Therefore, the correct answer is C) 5.

Use the Balmer Equation to Determine N for the Spectral