S. L. Arora Solutions for Chapter: Nuclei, Exercise 1: Problems For Practice

Calculate the mass equivalent of $1 \mathrm{Amu}$.

What is the order of energy, in $\mathrm{eV}$ for a photon of visible light? Take: $h = 6.626\times {10}^{-34} \mathrm{Js}, \mathrm{c} = 3\times {10}^8 \mathrm{m}/\mathrm{s}$, $e = 1.6 \times {10}^{-19 }\mathrm{C}$.

Calculate the nuclear radii of ${}_8{}^{140}\mathrm{Ba}$ and ${}_8{}^{17}\mathrm{O}$. Given $R_0=1.5 \mathrm{fm}.$

The nuclear radius of ${\mathrm{Pb}}^{208}$ is $8.874 \mathrm{fm}.$ What will be the nuclear radius of ${\mathrm{Ca}}^{44}?$

A nucleus with $A=235$ splits into two nuclei whose mass numbers are in the ratio $2:1$. If $R_0=1.4 \mathrm{fm}$, find the radii of the new nuclei.

Calculate the density of hydrogen nucleus in $\mathrm{SI}$ units. Given $R_0=1.1 \mathrm{fm}$ and $m_p=1.007825 \mathrm{amu}$. Take, $1 \mathrm{amu} = 1.66054\times {10}^{-27} \mathrm{kg}$

The nuclear radius of ${}_8{}^{16}\mathrm{O}$ is $3\times {10}^{-15} \mathrm{m}.$ Find the density of nuclear matter. Take, the mass of proton and neutron to be, $m = 1.67\times {10}^{-27} \mathrm{kg}$

Find nuclear mass density of ${}_{92}{}^{238}\mathrm{U}$. Given $R_0=1.5 \mathrm{fm}$ and mass of each nucleon $=1.67\times {10}^{-27} \mathrm{kg}.$.