Correct Answer - Option 3 : 5
The correct answer is 5.
Rutherford’s Nuclear Model of Atom proved that most of the space in atoms is generally empty.
- This means the size of the Nucleus is very small in comparison to the total size of an Atom.
- The radius of the atom is about 10–10 m, while that of the nucleus is 10–15 m.
- So, if a cricket ball represents a nucleus, then the radius of an atom would be about 5 km.
As we know the Diameter of the cricket ball(nucleus) is 10 cm.
The size of the Nucleus is about 10-15 m, while the size of an atom is 10-10 m.
For 10-15 size of nucleus → 10-10 m size of an atom
For 1 m size of Nucleus → (10-10 / 10-15) m size of an atom
100 cm size of Nucleus → 105 m size of an atom
10 cm size of Nucleus(Cricket ball) → 104 m size of an atom
10 cm size of Nucleus(Cricket ball) → 10 km size of an atom (as 1 km = 1000 m)
but here the radius is asked in the question
The radius of an atom, so radius = Diameter/2
= 10/2 km
Therefore, The radius of the atom is approximately equal to 5 km.