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

Correct answer: C. 4.8 Nuclear radius r A^ 1 / 3 , where A is mass number aligned & r=r_0 A^ 1 / 3 & r=r_0(27)^ 1 / 3 =3 r_0 & r_0=(3.6)/(3)=1.2 fm aligned For ^ 64 Cu aligned r & =r_0 A^ 1 / 3 & =1.2 fm(64)^ 1 / 3 & =4.8 fm aligned

NEET 2012

Exam: NEET
Year: 2012
Subject: Physics
Chapter: Nuclear Physics

NEET 2012 · Physics · Nuclear Physics

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

If the nuclear radius of

{ }^{27} \mathrm{Al}

3.6 \mathrm{Fermi}

, the approximate nuclear radius of

{ }^{64} \mathrm{Cu}

in Fermi is

Options

A2.4
B1.2
C4.8
D3.6

Correct answer

C. 4.8

Step-by-step solution

Nuclear radius

r \propto A^{1 / 3}

, where

A

is mass number

\begin{aligned} & r=r_0 A^{1 / 3} \\ & r=r_0(27)^{1 / 3}=3 r_0 \\ & r_0=\frac{3.6}{3}=1.2 \mathrm{fm} \end{aligned}

For

{ }^{64} \mathrm{Cu}

\begin{aligned} r & =r_0 A^{1 / 3} \\ & =1.2 \mathrm{fm}(64)^{1 / 3} \\ & =4.8 \mathrm{fm} \end{aligned}

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