Question

2000 atoms of carbon are arranged side by side. Calculate the radius of carbon atom if the length of this arrangement is 2.4 cm (3 Marks)​

Answer 1

Answer:

0.0012cm is the radius of one carbon atom.

Explanation:

We have to divide 2.4 by 2000

2.4/2000=0.0012.

Answer 2

Total Length = 2.4 cm

Total number of atoms along the length = 2000

So,

$\rm Diameter \: of \: each \: atom = \dfrac{2.4}{2000} \\ \\ \rm = 1.2 \times {10}^{ - 3} \: cm$

$\rm Radius \: of \: the \: atom = \dfrac{1.2 \times {10}^{ - 3} }{2} \\ \\ \rm = 0.6 \times {10}^{ - 3} \: cm \\ \\ \rm = 6 \times 10^{-6} \ m \\ \\ \rm = 6 \: \mu m$

$\therefore$ Radius of carbon atom = 6 μm