Embibe Experts Solutions for Chapter: Nuclear Physics, Exercise 1: West Bengal Board-2019

Draw the curve showing the variation of binding energy per nucleon as a function of mass number $\mathrm{A}$ . Explain  the stability of nucleus from the curve

$\mathrm{R}={\mathrm{R}}_0{\mathrm{A}}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}({\mathrm{R}}_0= \mathrm{constant}, \mathrm{A}=\mathrm{mass} \mathrm{no}.)$. Taking the above relation, show that the nuclear density does not depend upon the mass number $\mathrm{A}$.

What is meant by the activity of a radioactive substance? write it's S.I. unit.

Half life of a radioactive substance is $30 \mathrm{days}$. The number of atoms in the substance is ${10}^{12}$. How many disintegrations of atoms per second occur?

How many $\mathrm{\alpha } \mathrm{and} \mathrm{\beta }$ particles are emitted when ${\mathrm{U}}^{238}$ changes to ${\mathrm{Pb}}^{206}$ due to radioactivity? The atomic number of ${\mathrm{U}}^{238}$ land ${\mathrm{Pb}}^{92}$is $92$and $82$respectively.

What is mean life of a radio active element?

Establish relation between half-life and decay constant