Question

If the radius of an atom is 60 pm and the radius of the Earth is 6000 km, by how many orders of

magnitude is the radius of the Earth larger than an atom?

Answer 1

1 x 10¹⁷

Step-by-step explanation:

Given data:

Radius of the earth = 6000km

Radius of an atom = 60pm

Now, how many orders is the radius of the earth larger than an atom

Solution:

To solve this problem, let us express both quantity as the same unit;

1000m = 1km

6000km = 6000 x 10³m = 6 x 10⁶m

60pm;

1 x 10⁻¹²m = 1pm

60pm = 60 x 1 x 10⁻¹²m = 6 x 10⁻¹¹m

Now;

The order:
`(6 x 10^(6) )/(6 x 10^(-11) )` = 1 x 10¹⁷