###### Advertisements

###### Advertisements

The figure shows the plot of binding energy (BE) per nucleon as a function of mass number A. The letters A, B, C, D, and E represent the positions of typical nuclei on the curve. Point out, giving reasons, the two processes (in terms of A, B, C, D, and E ), one of which can occur due to nuclear fission and the other due to nuclear fusion.

###### Advertisements

#### Solution

The nuclei at A and B undergo nuclear fusion as their binding energy per nucleon is small and they are less stable so they fuse with other nuclei to become stable. The nuclei at E undergo nuclear fission as its binding energy per nucleon is less it splits into two or more lighter nuclei and becomes stable.

#### APPEARS IN

#### RELATED QUESTIONS

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.

Is the nucleus formed in the decay of the nucleus `""_11^22Na`, an isotope or isobar?

Obtain the binding energy of the nuclei `""_26^56"Fe"` and `""_83^209"Bi"` in units of MeV from the following data:

`"m"(""_26^56"Fe")` = 55.934939 u

`"m"(""_83^209"Bi")`= 208.980388 u

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?

Define half-life of a radioactive substance

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

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

In which of the following decays the atomic number decreases?

(a) α-decay

(b) β^{+}-decay

(c) β^{−}-decay

(d) γ-decay

How much energy is released in the following reaction : ^{7}Li + p → α + α.

Atomic mass of ^{7}Li = 7.0160 u and that of ^{4}He = 4.0026 u.

(Use Mass of proton m_{p} = 1.007276 u, Mass of `""_1^1"H"` atom = 1.007825 u, Mass of neutron m_{n} = 1.008665 u, Mass of electron = 0.0005486 u ≈ 511 keV/c^{2},1 u = 931 MeV/c^{2}.)

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

(Use Mass of proton m_{p} = 1.007276 u, Mass of `""_1^1"H"` atom = 1.007825 u, Mass of neutron m_{n} = 1.008665 u, Mass of electron = 0.0005486 u ≈ 511 keV/c^{2},1 u = 931 MeV/c^{2}.)

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?

Binding energy per nucleon for helium nucleus (2 He) is 7.0 MeV Find value of mass defect for helium nucleus

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

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

Mass of `"_1^1H = 1.007825` u

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

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.

**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?

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.

Determine the binding energy per nucleon of the americium isotope \[\ce{_95^244Am}\], given the mass of \[\ce{_95^244Am}\] to be 244.06428 u.

M_{x} and M_{y} denote the atomic masses of the parent and the daughter nuclei respectively in a radioactive decay. The Q-value for a β^{–} decay is Q_{1} and that for a β^{+} decay is Q_{2}. If m e denotes the mass of an electron, then which of the following statements is correct?

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 He^{3} nucleus. This does not happen. This is because ______.

He_{2}^{3} and He_{1}^{3} nuclei have the same mass number. Do they have the same binding energy?

Find the binding energy of a H-atom in the state n = 2

Define binding energy per nucleon.

State the significance of binding energy per nucleon.

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

Calculate the values of x and y in the following nuclear reaction.

\[\ce{^227_89Ac -> ^211_82Pb + x[^4_2He]+ y[^0_-1e]}\]

What is binding energy of nucleus?

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