The two strongest ultraviolet lines of a hydrogen-like ion are measured as follows…

CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

The two strongest ultraviolet lines of a hydrogen-like ion are measured as follows (each value has an uncertainty of

\pm0.02\,\text{nm}

): •

n=3 \to n=1

line:

\lambda_1 = 11.39\,\text{nm}

•

n=2 \to n=1

line:

\lambda_2 = 13.52\,\text{nm}

(a) Using

\lambda_1

, calculate the atomic number

Z

. (b) Using

\lambda_2

, calculate the atomic number

Z

. (c) Estimate the maximum percentage uncertainty in the value of

Z

obtained and state whether the two results are consistent with the same integral value of

Z