Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 1 - Introduction, Measurement, Estimating - General Problems - Page 20: 53

Answer

(a) There are 0.1 nanometers in 1.0 angstrom. (b) There are $10^5$ femtometers in 1.0 angstrom. (c) There are $10^{10}$ angstroms in 1.0 meter. (d) There are $9.5 \times 10^{25}$ angstroms in 1.0 light-year.

Work Step by Step

(a) $1 ~nm = 10^{-9} ~m$ $\frac{1.0 \times 10^{-10}~m}{1 \times 10^{-9} ~m} = 0.1$ There are 0.1 nanometers in 1.0 angstrom. (b) $1 ~fm = 10^{-15} ~m$ $\frac{1.0 \times 10^{-10}~m}{1 \times 10^{-15} ~m} = 10^5$ There are $10^5$ femtometers in 1.0 angstrom. (c) $\frac{1.0 ~m}{1 \times 10^{-10} ~m} = 10^{10}$ There are $10^{10}$ angstroms in 1.0 meter. (d) 1.0 light-year = $9.5 \times 10^{15} ~m$ $\frac{9.5 \times 10^{15} ~m}{1 \times 10^{-10} ~m} = 9.5 \times 10^{25}$ There are $9.5 \times 10^{25}$ angstroms in 1.0 light-year.
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