$_{2}He^{3}$ and $_{1}H^{3}$ nuclei have the same mass number. Do they have the same binding energy?
(B) No,they do not have the same binding energy.
Binding energy depends on the number of protons and neutrons in the nucleus.
For $_{1}H^{3}$ (Tritium),the nucleus consists of $1$ proton and $2$ neutrons.
For $_{2}He^{3}$,the nucleus consists of $2$ protons and $1$ neutron.
The binding energy per nucleon is influenced by the nuclear force,which is attractive between nucleons.
Since $_{1}H^{3}$ has a higher neutron-to-proton ratio and different pairing effects,its total binding energy differs from that of $_{2}He^{3}$.
In general,$_{1}H^{3}$ has a binding energy of approximately $8.48 \text{ MeV}$,while $_{2}He^{3}$ has a binding energy of approximately $7.72 \text{ MeV}$.
Therefore,the binding energies are not the same.
Binding energy depends on the number of protons and neutrons in the nucleus.
For $_{1}H^{3}$ (Tritium),the nucleus consists of $1$ proton and $2$ neutrons.
For $_{2}He^{3}$,the nucleus consists of $2$ protons and $1$ neutron.
The binding energy per nucleon is influenced by the nuclear force,which is attractive between nucleons.
Since $_{1}H^{3}$ has a higher neutron-to-proton ratio and different pairing effects,its total binding energy differs from that of $_{2}He^{3}$.
In general,$_{1}H^{3}$ has a binding energy of approximately $8.48 \text{ MeV}$,while $_{2}He^{3}$ has a binding energy of approximately $7.72 \text{ MeV}$.
Therefore,the binding energies are not the same.
Explore More
Similar Questions
The mass defect of $ { }_{2}^{4} He $ is $ 0.03 \ u $. The binding energy per nucleon of helium (in $ MeV $ ) is
DifficultKCET 2017
View SolutionIn the nuclear reaction,$_1H^2 + _1H^2 \to _0n^1 + _2He^3$. If the binding energy of deuteron is $2.23 \ MeV$ and the $Q$-value of the reaction is $3.27 \ MeV$,then the binding energy of $_2He^3$ is ......... $MeV$.
Difficult
View SolutionMass numbers of the elements $A, B, C$ and $D$ are $30, 60, 90$ and $120$ respectively. The specific binding energies of them are $5 \text{ MeV}, 8.5 \text{ MeV}, 8 \text{ MeV}$ and $7 \text{ MeV}$ respectively. In which of the following reaction$(s)$ is energy released?
$1. D \rightarrow 2B$
$2. C \rightarrow B + A$
$3. B \rightarrow 2A$
$1. D \rightarrow 2B$
$2. C \rightarrow B + A$
$3. B \rightarrow 2A$
MediumKCET 2012
View SolutionGiven below are two statements. One is labelled as Assertion $(A)$ and the other is labelled as Reason $(R)$.
Assertion $(A) :$ The binding energy per nucleon is found to be practically independent of the atomic number $A$,for nuclei with mass numbers between $30$ and $170$.
Reason $(R) :$ Nuclear force is long range.
In the light of the above statements,choose the correct answer from the options given below $:$
Assertion $(A) :$ The binding energy per nucleon is found to be practically independent of the atomic number $A$,for nuclei with mass numbers between $30$ and $170$.
Reason $(R) :$ Nuclear force is long range.
In the light of the above statements,choose the correct answer from the options given below $:$
The mass of a proton is $1.0073 \; u$ and that of a neutron is $1.0087 \; u$ ($u =$ atomic mass unit). The binding energy of ${ }_2^4 \text{He}$ is (Given: helium nucleus mass $\approx 4.0015 \; u$):
MediumAIPMT 2003
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo