Chapter 1, Problem 52GP

(a)

To determine

To find: The nanometers in one angstrom.

Answer to Problem 52GP

1 nanometer=10 angstrom

Explanation of Solution

Given:

  $\stackrel{\circ }{\text{A}}$ is the unit of length.

Formula used:

  $1\stackrel{\circ }{\text{A}}=10^{-10}m$

Calculation:

Convert angstrom into nanometers.

  $\begin{array}{c}1angstrom=10^{-10}meter\\ =10^{-1}\times {10}^{-9}\text{meter}\\ ={10}^{-1}\text{nanometer}\\ 1nanometer=10angstrom\end{array}$

Conclusion:

Therefore, 1 nanometer is equal to 10 angstrom

(b)

To determine

To find: The femtometers in one angstrom.

Answer to Problem 52GP

  $1femtometer=10^{-5}angstrom$

Explanation of Solution

Given:

  $\stackrel{\circ }{\text{A}}$ is the unit of length, comparable to diameter of the atom.

Formula used:

  $1\stackrel{\circ }{\text{A}}=10^{-10}m$

Calculation:

Convert angstrom into femtometer.

  $\begin{array}{c}1angstrom=10^{-10}meter\\ =10^{-10+5-5}\text{meter}\\ {\text{=10}}^5\times {10}^{-15}\text{meter}\\ {\text{=10}}^5\text{femtometer}\\ 1femtometer=10^{-5}angstrom\end{array}$

Conclusion:

Therefore,

  $1femtometer=10^{-5}angstrom$

(c)

To determine

To find: The angstrom in 1 meter.

Answer to Problem 52GP

  $1meter=10^{10}\text{angstrom}$

Explanation of Solution

Given:

  $\stackrel{\circ }{\text{A}}$ is the unit of length, comparable to diameter of the atom.

Formula used:

  $1angstrom=10^{-10}meter$

Calculation:

Convert meters into angstrom.

  $\begin{array}{l}1angstrom=10^{-10}meter\\ 1meter=10^{10}\text{angstrom}\end{array}$

Conclusion:

Therefore,

  $1meter=10^{10}\text{angstrom}$

(d)

To determine

To find: The angstrom in 1 light year.

Answer to Problem 52GP

  $1lightyear=9.461\times 10^{25}angstrom$

Explanation of Solution

Given:

  $\stackrel{\circ }{\text{A}}$ is the unit of length, comparable to diameter of the atom.

Formula used:

  $1\stackrel{\circ }{\text{A}}=10^{-10}m$

Calculation:

Convert 1 light year into angstrom.

  $\begin{array}{l}1lightyear=9.461\times 10^{15}meters\\ 1angstrom=10^{-10}meter\\ 1meter=10^{10}angstrom\\ 1lightyear=9.461\times 10^{15}\times 10^{10}angstrom\\ \Rightarrow 1lightyear=9.461\times 10^{25}angstrom\end{array}$

Conclusion:

Therefore,

  $1lightyear=9.461\times 10^{25}angstrom$