Chapter 25, Problem 52GQ

(a)

Interpretation Introduction

Interpretation:

The energy involved in the given nuclear reaction has to be calculated.

Concept introduction: In the radioactive decay process the unstable isotopes loses their energy by emitting radiation in order to attain stable species. It is converted in to stable isotopes by emitting positron ${}_{+1}^0\beta$ , gamma ${}_0^0\gamma$ , Beta $\beta$, alpha ${}_2^{4}He$ and or by electron capture ${}_{-1}^{0}e$ .

Isotopes: The two elements with same atomic number but with different mass number are considered as isotopes of each other.

Binding energy: It is defined as the energy needed by an atom or molecule to completely loss one electron from it. The binding energy of an atom is calculated as,

$\begin{array}{l}{\text{E}}_{\text{b}}{\text{= (Δm)c}}^{\text{2}}\text{,}\text{where}\\ {\text{E}}_{\text{b}}\text{= Binding}\text{energy}\\ \text{Δm = massdefect = mass of products - mass of reactants}\\ \text{c = velocityoflight}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The wave length for Gamma rays emitted in the given reaction has to be calculated.

Concept introduction:

In the radioactive decay process the unstable isotopes loses their energy by emitting radiation in order to attain stable species. It is converted in to stable isotopes by emitting positron ${}_{+1}^0\beta$ , gamma ${}_0^0\gamma$ , Beta $\beta$, alpha ${}_2^{4}He$ and or by electron capture ${}_{-1}^{0}e$ .

Isotopes: The two elements with same atomic number but with different mass number are considered as isotopes of each other.

Binding energy: It is defined as the energy needed by an atom or molecule to completely loss one electron from it. The binding energy of an atom is calculated as,

$\begin{array}{l}{\text{E}}_{\text{b}}{\text{= (Δm)c}}^{\text{2}}\text{,}\text{where}\\ {\text{E}}_{\text{b}}\text{= Binding}\text{energy}\\ \text{Δm = massdefect = mass of products - mass of reactants}\\ \text{c = velocityoflight}\end{array}$

The equation for energy of photon is given by

$\begin{array}{l}\text{E = hυ= h}\frac{\text{c}}{\text{λ}}\\ \text{λ = }\frac{\text{hc}}{\text{E}}\end{array}$