Chapter 17, Problem 46R

To determine

To Find: The number of nanotubes required to stack together to get a thickness of $0.65\text{mm}$ .

Answer to Problem 46R

  $65\times {10}^4$

Explanation of Solution

Given Information: The numbers of nanotubes required to stack together= n

The diameter of the tube = 1 billionth of a meter.

The diameter of the copper wire = $0.65\text{mm}$

Formula Used:

One billion = $1000000000$

One billionth of a meter = $\frac{1}{1000000000}\text{m}$

So, one billionth of a meter = $1\times {10}^{-9}\text{m}$

Calculation:

  $n\times 1\times {10}^{-9}\text{m}$ = $0.65\text{mm}$

  $n=\frac{0.65\text{mm}}{1\times {10}^{-9}}$

as 1m= $1000$ mm

  $n=\frac{0.65\text{mm}}{1\times {10}^{-9}}$

  $n=65\times {10}^4$