If the nuclear radius of 27Al is 3.6 Fermi, the approximate

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If the nuclear radius of ²⁷Al is 3.6 Fermi, the approximate nuclear radius of ⁶⁴Cu in Fermi is :

1. 2.4
2. 1.2
3. 4.8
4. 3.6

Correct Option: C

The radius of the nuclears is directly proportional to cube root of atomic number
i.e. R ∝ A^1/3
⇒ R = R₀ A^1/3
where R₀ is a constant of proportionality

	R₂	=		A₂		^1/3
	R₁			A₁

⇒		64		^1/3	=	4
		27				3

where R₁ = the radius of ²⁷Al, and A₁ = Atomic mass number of Al
R₂ = the radius of ⁶⁴Cu and A₂ = Atomic mass number of C4

R₂ = 3.6 ×	4	= 4.8 m
	3