The density of a nucleus of mass number A is proportional to

Question

The density of a nucleus of mass number A is proportional to (A)  A3  (B)  A1/3  (C)  A1  (D)  A°

Tardigrade Admin · Accepted Answer

Radius of typing nucleus is given by R=R0 A1 / 3 So, the volume of the nucleus is given by V=R03 A Hence, the density is given by ρ=(A/R30 A)=(1/R03) ρ propto A

Q. The density of a nucleus of mass number $A$ is proportional to

$A^{3}$

$A^{1/3}$

$A^{1}$

$A^{\circ}$

Radius of typing nucleus is given by $R = R_{0} A^{1/3}$
So, the volume of the nucleus is given by $V = R_{0}^{3} A$
Hence, the density is given by
$ρ = \frac{A}{R _{3}^{0} A} = \frac{1}{R _{0}^{3}}$
$ρ \propto A$

Q. The density of a nucleus of mass number A is proportional to

A3

A1/3

A1

A∘