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

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प्रश्न

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

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उत्तर

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

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अध्याय 24: The Nucleus - Short Answers [पृष्ठ ४४०]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 24 The Nucleus
Short Answers | Q 7 | पृष्ठ ४४०

संबंधित प्रश्न

Derive an expression for the total energy of electron in ‘n' th Bohr orbit. Hence show that energy of the electron is inversely proportional to the square of principal quantum number. Also define binding energy.


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.


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


Use this graph to explain the release of energy in both the processes of nuclear fusion and fission.


What characteristic property of nuclear force explains the constancy of binding energy per nucleon (BE/A) in the range of mass number ‘A’ lying 30 < A < 170?


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.)


Calculate mass defect and binding energy per nucleon of `"_10^20 Ne`, given 

Mass of `"_10^20 Ne= 19.992397` u

Mass of `"_0^1H = 1.007825`  u

Mass of `"_0^1n = 1.008665` u


Answer the following question.
Draw the curve showing the variation of binding energy per nucleon with the mass number of nuclei. Using it explains the fusion of nuclei lying on the ascending part and fission of nuclei lying on the descending part of this curve.


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


An electron in hydrogen atom stays in its second orbit for 10−8 s. How many revolutions will it make around the nucleus at that time?


Mx and My denote the atomic masses of the parent and the daughter nuclei respectively in a radioactive decay. The Q-value for a β decay is Q1 and that for a β+ decay is Q2. If m e denotes the mass of an electron, then which of the following statements is correct?


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?


State the significance of binding energy per nucleon.


What is binding energy of nucleus?


What is meant by “binding energy per nucleon” of a nucleus?


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