Advertisements
Advertisements
प्रश्न
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.)
Advertisements
उत्तर
Given:-
Atomic mass of Au, A = 196.96
Atomic number of Au, Z = 79
Number of neutrons, N = 118
Binding energy,
`B = (Zm_p + Nm_n - M)c^2`
Here, mp = Mass of proton
M = Mass of nucleus
mn = Mass of neutron
c = Speed of light
On substituting the respective values, we get
`B = [(79 xx 1.007276 + 118 xx 1.008665) "u" - 196.96 "u" ] c^2`
`= (198.597274 - 196.96) xx 931 "MeV"`
`= 1524.302094 "MeV"`
Binding energy per nucleon = `1524.3/197 = 7.737 "MeV"`
APPEARS IN
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.
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?
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?
Which property of nuclear force explains the constancy of binding energy per nucleon `((BE)/A)` for nuclei in the range 20< A < 170 ?
What is the minimum energy which a gamma-ray photon must possess in order to produce electron-positron pair?
Sketch a graph showing the variation of binding energy per nucleon of a nucleus with its mass number.
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.
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.
Tritium is an isotope of hydrogen whose nucleus Triton contains 2 neutrons and 1 proton. Free neutrons decay into `p + bare + barν`. If one of the neutrons in Triton decays, it would transform into He3 nucleus. This does not happen. This is because ______.
Heavy stable nucle have more neutrons than protons. This is because of the fact that ______.
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
What is meant by “binding energy per nucleon” of a nucleus?
Statement I: The binding energy per nucleon, for nuclei with atomic mass number A > 100, decreases with A.
Statement II: The forces are weak for heavier nuclei. In the light of the above statements, choose the most appropriate from the options given below.
