Question

The radius of a copper atom is 1.3⋅10^−10m. How many times N can you divide evenly a 11.1 cm long line of copper atoms until it is reduced to a single copper atom?

Answer 1

Given :

Radius of copper atom , $r=1.3\times 10^{-10}\ m$ .

Length , l = 11.1 cm = 0.0111 m .

To Find :

How many times N can you divide to reduced to a single copper atom.

Solution :

Number of time cuts required is equal to total number of atoms .

$N=\dfrac{0.0111}{2\times1.3\times 10^{-10}}\\\\N=4.27\times 10^{-7}$

Therefore , number of time we need to divide the rod is equal to $4.27\times 10^{-7}$.

Hence , this is the required solution .