SATHEE: nuclei Question 15

nuclei Question 15

Question: Q. 4. Define the terms (i) mass defect (ii) binding energy for a nucleus and state the relation between the two for a given nuclear reaction for which the B.E. / nucleon of the product nucleus / nuclei is more than that for the original nucleus / nuclei. Is this nuclear reaction exothermic or endothermic in nature? Justify your choice.

U[SQP 2013]

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Solution:

Ans. (i) Mass defect $(Δ M)$ , of any nucleus $_{Z}^{A} X$ is the difference in the mass of the nucleus $(= M)$ and the sum of masses of its constituent nucleons $(= M^{'})$ .

$\begin{aligned} Δ M & = M^{'} - M & = [Z m_{p} + (A - Z) m_{n}] - M \end{aligned}$

where, $m_{p}$ and $m_{n}$ denote the mass of the proton and the neutron respectively.

(ii) Binding energy is the energy required to separate a nucleus into its constituent nucleons. The relation between the two is

$\begin{matrix} (1) & E_{b} = Δ M c^{2} \end{matrix}$

(iii) There is a release of energy, i.e., the reaction is exothermic.

Reason : Increase in B.E/nucleon implies that mass has been converted into energy. This would result in release of energy.

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nuclei Question 15

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Nuclei

nuclei Question 15

Table of Contents

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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