The mass density of a nucleus varies with mass number A as

Question

The mass density of a nucleus varies with mass number A as (A) A2 (B) A (C) constant (D) I/A

Tardigrade Admin · Accepted Answer

The nuclear radius r varies with mass number A according to the relation r=r0 A1 / .3 ⇒ r propto A1 / 3 or A propto r3 Now density =( text mass / text volume ) Further mass propto A and volume propto r3 ∴ ( text mass / text volume )= constant

Q. The mass density of a nucleus varies with mass number $A$ as

$A^{2}$

$A$

constant

$I / A$

The nuclear radius $r$ varies with mass number
A according to the relation
$r = r_{0} A^{1/.3} \Rightarrow r \propto A^{1/3}$ or $A \propto r^{3}$
Now density $= \frac{mass}{volume}$
Further mass $\propto A$ and volume $\propto r^{3}$
$∴ \frac{mass}{volume} =$ constant

Q. The mass density of a nucleus varies with mass number A as

A2

A

constant

I/A

The nuclear radius r varies with mass number A according to the relation r=r0​A1/.3⇒r∝A1/3 or A∝r3 Now density = volume mass ​ Further mass ∝A and volume ∝r3 ∴ volume mass ​= constant

Q. The mass density of a nucleus varies with mass number $A$ as

$A^{2}$

$A$

$I / A$

The nuclear radius $r$ varies with mass number
A according to the relation
$r = r_{0} A^{1/.3} \Rightarrow r \propto A^{1/3}$ or $A \propto r^{3}$
Now density $= \frac{mass}{volume}$
Further mass $\propto A$ and volume $\propto r^{3}$
$∴ \frac{mass}{volume} =$ constant