Choose the correct statement from the followi | vedclass

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

Question

(A) We know that the radius $(R)$ of a nucleus is given by the relation: $R = R_0 A^{1/3}$,which implies $R \propto A^{1/3}$.Here,$R_0$ is a constant

Vedclass · Accepted Answer

The nuclear density,in general,is independent of mass number $A$.

Vedclass · Answer

(A) We know that the radius $(R)$ of a nucleus is given by the relation: $R = R_0 A^{1/3}$,which implies $R \propto A^{1/3}$.Here,$R_0$ is a constant and $A$ is the mass number.Nuclear density $(ho)$ is defined as the ratio of mass to volume: $ho = \frac{	ext{mass}}{	ext{volume}} = \frac{m A}{\frac{4}{3} \pi R^3}$,where $m$ is the mass of a single nucleon.Substituting $R = R_0 A^{1/3}$,we get: $ho = \frac{m A}{\frac{4}{3} \pi (R_0 A^{1/3})^3} = \frac{3m}{4 \pi R_0^3}$.Since $m$ and $R_0$ are constants,the nuclear density $ho$ is independent of the mass number $A$.Regarding other options: Binding energy $E = \Delta m c^2$,so $E \propto \Delta m$ (directly proportional,not inversely).Energy is released (not just observed) during nuclear fission of heavy nuclei into lighter ones.

Choose the correct statement from the following:

Similar Questions

From the relation $R = R_{0} A^{1/3}$,where $R_{0}$ is a constant and $A$ is the mass number of a nucleus,show that the nuclear matter density is nearly constant (i.e.,independent of $A$).

If the nuclear forces between two protons,two neutrons,and a proton-neutron are denoted by $F_{pp}$,$F_{nn}$,and $F_{pn}$ respectively,then:

Which of the following is true for a sample of isotopes containing $^{235}U$ and $^{238}U$?

Which of the following particles are constituents of the nucleus?

$A$ neutrino is a particle,which is

Vedclass Test Series

Exam Paper Generator

Online Exam Module