English
Karnataka Board PUCPUC Science Class 11

If the Nucleons of a Nucleus Are Separated from Each Other, the Total Mass is Increased. Where Does this Mass Come From? - Physics

Advertisements
Advertisements

Question

If the nucleons of a nucleus are separated from each other, the total mass is increased. Where does this mass come from?

Short Note

Solution

When the nucleons of a nucleus are separated, a certain amount of energy is to be given to the nucleus, which is known as the binding energy.
Binding energy = [(Number of nucleons)  `xx` (Mass of a nucleon) - (Mass of the nucleus)]

 When the nucleons of a nucleus are separated, the increase in the total mass comes from the binding energy, which is given to the nucleus to break-off its constituent nucleons as energy is related to mass by the relation given below.
E = Δmc2

shaalaa.com
  Is there an error in this question or solution?
Chapter 24: The Nucleus - Short Answers [Page 440]

APPEARS IN

HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 24 The Nucleus
Short Answers | Q 7 | Page 440

RELATED QUESTIONS

Write symbolically the nuclear βdecay process of `""_6^11C` Is the decayed product X an isotope or isobar of (`""_6^11C`)? Given the mass values m (`""_6^11C`) = 11.011434 u and m (X) = 11.009305 u. Estimate the Q-value in this process.


The neutron separation energy is defined as the energy required to remove a neutron from the nucleus. Obtain the neutron separation energies of the nuclei `""_20^41"Ca"` and `""_13^27 "Al"` from the following data:

`"m"(""_20^40"Ca")` = 39.962591 u

`"m"(""_20^41"Ca")` = 40.962278 u

`"m"(""_13^26"Al")` = 25.986895 u

`"m"(""_13^27"Al")` = 26.981541 u


What is meant by the terms half-life of a radioactive substance and binding energy of a nucleus?


What is the significance of binding energy per nucleon of a nucleus of a radioactive element?


Is it easier to take out a nucleon (a) from carbon or from iron (b) from iron or from lead?


Find the binding energy per nucleon of `""_79^197"Au"` if its atomic mass is 196.96 u.

(Use Mass of proton mp = 1.007276 u, Mass of `""_1^1"H"` atom = 1.007825 u, Mass of neutron mn = 1.008665 u, Mass of electron = 0.0005486 u ≈ 511 keV/c2,1 u = 931 MeV/c2.)


In a nuclear reactor, what is the function of:
(i) The moderator
(ii) The control rods
(iii) The coolant


Sketch a graph showing the variation of binding energy per nucleon of a nucleus with its mass number. 


Calculate the binding energy of an alpha particle given its mass to be 4.00151 u.


In a periodic table the average atomic mass of magnesium is given as 24.312 u. The average value is based on their relative natural abundance on earth. The three isotopes and their masses are\[\ce{_12^24Mg}\](23.98504 u), \[\ce{_12^25Mg}\] (24.98584 u), and \[\ce{_12^26Mg}\] (25.98259 u). The natural abundance of \[\ce{_12^24Mg}\] is 78.99% by mass. Calculate the abundances of other two isotopes.


A body's centre of mass


He23 and He13 nuclei have the same mass number. Do they have the same binding energy?


Nuclei with magic no. of proton Z = 2, 8, 20, 28, 50, 52 and magic no. of neutrons N = 2, 8, 20, 28, 50, 82 and 126 are found to be very stable.

(i) Verify this by calculating the proton separation energy Sp for 120Sn (Z = 50) and 121Sb = (Z = 51).

The proton separation energy for a nuclide is the minimum energy required to separate the least tightly bound proton from a nucleus of that nuclide. It is given by `S_P = (M_(z-1^' N) + M_H - M_(ZN))c^2`. 

Given 119In = 118.9058u, 120Sn = 119.902199u, 121Sb = 120.903824u, 1H = 1.0078252u.

(ii) What does the existance of magic number indicate?


Explain the release of energy in nuclear fission and fusion on the basis of binding energy per nucleon curve.


Calculate the binding energy of an alpha particle in MeV. Given

mass of a proton = 1.007825 u

mass of a neutron = 1.008665 u

mass of He nucleus = 4.002800 u

1u = 931 MeV/c2


Define binding energy per nucleon.


Which of the following quantities is a measure of stability of nucleus?


Find the binding energy per nucleon of 235U based on the information given below.

  Mass(u)
mass of neutral `""_92^235"U"` 235.0439
mass of a proton 1.0073
mass of a neutron 1.0087

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×