The radius of a nucleus with atomic mass number 7 is 2 Fermi. Find the radius of nucleus with atomic number 189.

Question

The radius of a nucleus with atomic mass number 7 is 2 Fermi. Find the radius of nucleus with atomic number 189. (A) 3 Fermi (B) 4 Fermi (C) 5 Fermi (D) 6 Fermi

Tardigrade Admin · Accepted Answer

R=R0 A1 / 3 ∴ (R1/R2)=((A1/A2))1 / 3 (2/R2)=((7/189))1 / 3 ⇒ R2=6 Fermi

Q. The radius of a nucleus with atomic mass number $7$ is $2$ Fermi. Find the radius of nucleus with atomic number $189$ .

3 Fermi

4 Fermi

5 Fermi

6 Fermi

$R = R_{0} A^{1/3}$
$∴ \frac{R _{1}}{R _{2}} = (\frac{A _{1}}{A _{2}})^{1/3}$
$\frac{2}{R _{2}} = (\frac{7}{189})^{1/3}$
$\Rightarrow R_{2} = 6$ Fermi

Q. The radius of a nucleus with atomic mass number 7 is 2 Fermi. Find the radius of nucleus with atomic number 189.