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The radius of a nucleus is smaller than the radius of an atom by a factor of about:

ATen hundred
BTen billion
CTen million
DTen thousand
Answer & Solution
Correct answer: D. Ten thousand
1. An atom is mostly empty space around a tiny core. 2. The size gap between the two is enormous. 3. The radius of the nucleus is smaller than the radius of an atom by a factor of ten to the fourth. 4. So the factor is about ten thousand. _Source: NCERT Class XII Physics Part II, Ch 13 'Nuclei'_
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