Chemistry: The Central Science (13th Edition)

Published by Prentice Hall
ISBN 10: 0321910419
ISBN 13: 978-0-32191-041-7

Chapter 6 - Electronic Structure of Atoms - Additional Exercises: 6.82a

Answer

The frequency of the emitted light is $\nu\approx5.09\times10^{14}s^{-1}$

Work Step by Step

We would calculate the frequency of the emitted light according to the formula $$\nu=\frac{c}{\lambda}$$ $\nu$: frequency of light $c$: speed of light in a vacuum $(c\approx2.998\times10^8m/s)$ $\lambda$: wavelength of light The wavelength of the emitted light is $\lambda=589nm=5.89\times10^{-7}m$ Therefore, the frequency of the emitted light is $$\nu=\frac{c}{\lambda}=\frac{2.998\times10^8m/s}{5.89\times10^{-7}m}\approx5.09\times10^{14}s^{-1}$$
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