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

If The Number Of Radius Of Al Is 36 Fermi Physics QuestionIf The Number Of Radius Of Al Is 36 Fermi Physics Question

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

Options

(a) 2.4
(b) 1.2
(c) 4.8
(d) 3.6

Correct Answer:

4.8

Explanation:

The radius of the nuclears is directly proportional to cube root of atomic number i.e., R ∞ A¹/³
R = R₀A¹/³, where R₀ is a constant of proportionality
R₂ / R₁ = (A₂ / A₁)¹/³ (64 / 27)¹/³ = 4/3
where R₁ = 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 x 4/3 = 4.8 m.

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