Question

An atomic radius is about 1.00*10^2 pm. Convert the radius to inches. (1 pm=10^-12m)

Answer 1

3.937 x 10⁻⁸ inches

Step-by-step explanation:

Data Given:

Atomic radium in pm (picometer) = 1.00 x 10² pm

Atomic radium in inches = ?

1 pm = 10⁻¹² m

Solution:

First convert picometer to meter

As we Know

1 pm = 10⁻¹² m

then

1.00 x 10² pm = X meter

Do cross multiplication

X meter = (1.00 x 10² pm)(10⁻¹² m) / 1 pm

X meter = 1 x 10⁻⁹ m

So, 1.00 x 10² pm equal to 1 x 10⁻⁹ m

Now convert meter to inches

As

1 m = 39.37 inches

1 x 10⁻⁹ m = X inches

Do cross multiplication

X inches = (39.3701 inches)(1 x 10⁻⁹ m ) / 1 m

X inches = 3.937 x 10⁻⁸ inches

So,

1.00 x 10² pm = 3.937 x 10⁻⁸ inches

so the radius is 3.937 x 10⁻⁸ inches