The mass number and the volume of a nucleus a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The radius $R$ of a nucleus is related to its mass number $A$ by the formula $R = R_0 A^{1/3}$,where $R_0$ is a constant.The volume $V$ of a nucle

Vedclass · Accepted Answer

$2V$

Vedclass · Answer

(C) The radius $R$ of a nucleus is related to its mass number $A$ by the formula $R = R_0 A^{1/3}$,where $R_0$ is a constant.The volume $V$ of a nucleus is given by $V = \frac{4}{3} \pi R^3$.Substituting the expression for $R$,we get $V = \frac{4}{3} \pi (R_0 A^{1/3})^3 = \frac{4}{3} \pi R_0^3 A$.This shows that the volume $V$ is directly proportional to the mass number $A$ $(V \propto A)$.If the mass number is increased from $A$ to $2A$,the new volume $V'$ will be $V' \propto 2A$.Therefore,$V' = 2V$.

The mass number and the volume of a nucleus are $A$ and $V$ respectively. If the mass number is increased to $2A$,then the volume changes to:

Similar Questions

Two protons exert a nuclear force on each other. The distance between them is approximately:

Calculate the height of the potential barrier for a head-on collision of two deuterons. (Radius of deuteron is $2$ fm).

The electric potential at the surface of an atomic nucleus $(Z=50)$ of radius $9 \times 10^{-15} \,m$ is

Choose the incorrect statement from the following.

The radius of germanium $(Ge)$ nuclide is measured to be twice the radius of ${ }_4^9 Be$. The number of nucleons in $Ge$ will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module