Embibe Experts Solutions for Chapter: Nuclei, Exercise 1: Nagaland Board-2018

Mass of an electron is $9.11\times {10}^{-31}\mathrm{kg}$. Calculate mass-energy of electron in Joule as well as electron volts. Given that speed of light in vacuum $\mathrm{c} = 3.0\times {10}^8 {\mathrm{ms}}^{-1}$ and $1 \mathrm{eV} = 1.60\times {10}^{-19}\mathrm{J}$.

Define the terms “half-life period” and “decay constant” of a radioactive sample. Derive the relation between them.

Explain the process of release of energy in a nuclear reactor. Draw a schematic diagram of a nuclear reactor and write the function of each part.

Two nuclei have mass numbers in the ratio $1:8$. What is the ratio of their nuclear radii?

State the radio-active decay law. Deduce the relation $\mathrm{N}={\mathrm{N}}_{\mathrm{o}}{\mathrm{e}}^{-2\mathrm{\lambda t}}$, where the symbols have their usual meanings

Explain the process of release of energy in a nuclear reactor. Draw a schematic diagram of the nuclear reactor.

Define atomic mass unit. Find the energy equivalent to $1\mathrm{u}$ (atomic mass unit).

Calculate the binding energy per nucleon for ${}_{10}{}^{20}\mathrm{Ne}$. Given that ${\mathrm{m}}_{\mathrm{H}}=1.007825 \mathrm{u}, {\mathrm{m}}_{\mathrm{n}}=1.008665\mathrm{u}$ and mass of ${}_{10}{}^{20}\mathrm{Ne}$ atom$19.992440 \mathrm{u}$.