## Chemistry: Principles and Practice (3rd Edition)

Published by Cengage Learning

# Chapter 7 - Electronic Structure - Questions and Exercises - Exercises - Page 285: 7.24

#### Answer

2.959 m or $2.959\times10^{9}nm$

#### Work Step by Step

Frequency, ν = 101.3 MHz = $101.3\times10^{6}s^{-1}$ Speed of the radiation, c = $2.997925\times10^{8}ms^{-1}$ Wavelength, λ= c/ν = $\frac{2.997925\times10^{8}ms^{-1}}{101.3\times10^{6}s^{-1}}$ = 2.959 m In nanometers, 2.959 m = $2.959\times(10^{9}\times10^{-9})m$ = $2.959\times10^{9}(10^{-9}m)$ =$2.959\times10^{9} nm$ (The prefix 'nano' stands for $10^{-9}$).

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