
Find the binding energy of an - particle from the following data.
Mass of the helium nucleus
Mass of the proton
Mass of the neutron
Take
Answer
487.5k+ views
Hint: We need to understand the relation between the mass of the helium atom, the mass of the neutron and the proton and the binding energy of the alpha particle to solve the problem. We should consider the helium atom and the alpha particle to be the same.
Complete answer:
We know that the alpha particle is basically the helium nucleus with an atomic mass of 4 u. It consists of two protons and two neutrons.
We know that the sum total of the masses of the two protons and the two neutrons should be the mass of the nucleus. But from our experiences with nuclear studies, we know that there is a loss of some mass when we weigh a nucleus as a single entity. i.e., the mass of the nucleus will be lesser than the sum total of the masses of individual protons and neutrons.
This anomaly in the mass is explained by the nuclear binding energy involved in each nucleus. The nucleus being a highly positive entity requires some external energy to hold the nucleons in position. This energy is spent on the mass defect that we found from experiments.
We are given the mass of the helium nucleus, the proton and the neutron. We can find the binding energy of the alpha-particle very easily using the following formula as –
The Binding energy of the Alpha particle is 28.511MeV.
This is the required solution.
Note:
The binding energy of a nucleus is the measure of the strength of the nucleus. It is a positive quantity because we need to provide the energy to split up the nucleus into its respective nucleons as we do even in the nuclear reactions to start the chain reaction.
Complete answer:
We know that the alpha particle is basically the helium nucleus with an atomic mass of 4 u. It consists of two protons and two neutrons.
We know that the sum total of the masses of the two protons and the two neutrons should be the mass of the nucleus. But from our experiences with nuclear studies, we know that there is a loss of some mass when we weigh a nucleus as a single entity. i.e., the mass of the nucleus will be lesser than the sum total of the masses of individual protons and neutrons.
This anomaly in the mass is explained by the nuclear binding energy involved in each nucleus. The nucleus being a highly positive entity requires some external energy to hold the nucleons in position. This energy is spent on the mass defect that we found from experiments.
We are given the mass of the helium nucleus, the proton and the neutron. We can find the binding energy of the alpha-particle very easily using the following formula as –
The Binding energy of the Alpha particle is 28.511MeV.
This is the required solution.
Note:
The binding energy of a nucleus is the measure of the strength of the nucleus. It is a positive quantity because we need to provide the energy to split up the nucleus into its respective nucleons as we do even in the nuclear reactions to start the chain reaction.
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Physics: Engaging Questions & Answers for Success

Trending doubts
Which one of the following is a true fish A Jellyfish class 12 biology CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Why is the cell called the structural and functional class 12 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Write the difference between solid liquid and gas class 12 chemistry CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?
