Question

A wavelength of 489.2 nm is observed in a hydrogen spectrum for a transition that ends in the nf level of the Balmer series. What was ni for the initial level of the electron

Answer 1

Answer:

$n_1=4$

Explanation:

From the question we are told that:

Wavelength $\lambda=489.2 nm =>4.86*10^{-7}$

nf level= Balmer series

nf level= 2

Generally the equation for Wavelength is mathematically given by

$\frac{1}{\lambda}=R[\frac{1}{nf^2}-\frac{1}{n_1^2}]$

Where

$R=Rydberg Constant$

$R=1.097*10^7$

Therefore

$\frac{1}{4.86*10^{-7}}=1.097*10^7[\frac{1}{2^2}-\frac{1}{n_1^2}]$

$n_1=4.0021$

$n_1=4$