If the diameter of an atom is 1 * 10-8 cm, what is the approximate diameter of its nucleus

Here we have to find the diameter of nucleus as the diameter of atom is given.

Diameter of atom is 1 x 10⁻⁸ cm

Radius of atom = diameter/2

so, radius of atom = 1 x 10⁻⁸ cm/2 = 5 x 10⁻⁹ cm

To find diameter of nucleus, first we have to find the radius of nucleus by using this formula,

R = rA ⁽¹/³⁾ where R = radius of nucleus, r = radius of atom and A is a nucleon number, which is different for every atom

so, R = (5x10 ⁻⁹) A ⁽¹/³⁾

here atom is not mentioned, so we don't know the value of A

and Dimeter (D) = 2R, R = D/2

D/2 = (5x10⁻⁹) A ⁽¹/³⁾

Diameter of nucleus (D) = 2 ((5x10⁻⁹) A ⁽¹/³⁾ )