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Question
The radius of atom is of the order of 1 Å and the radius of nucleus is of the order of fermi. How many magnitudes higher is the volume of atom as compared to the volume of nucleus?
Solution
Radius of atom = 1 Å = 10–10 m
Radius of nucleus = 1 fermi = 10–15 m
Volume of atom = VA = `4/3 πR_A^3`
Volume of atom = `4/3 πR_A^3`
Volume of nucleus VN = `4/3 πR_N^3`
`V_A/V_N = (4/3 πR_A^3)/(4/3 πR_N^3)`
= `(R_A/R_N)^3`
= `(10^-10/10^-15)^3`
= 1015
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