Binding Energy

Q.

The highest binding energy per nucleon will be for

1. $H_2$
2. $O_2$
3. U
4. Fe

Q. If two protons and two neutrons are brought extremely close together to form a single, bound particle, the energy released in the process will be equal to:

1. There might or might not be any energy released
2. The binding energy of helium nucleus
3. There will be no energy released
4. The mass-energy of an alpha particle.

Q. Given the following binding energies:
$1.{}_8^{17}O\to 131MeV$
$2.{}_{26}^{56}Fe\to 493MeV$
$3.{}_{92}^{238}U\to 1804MeV$
Compare the binding energies per nucleon $(\Delta =\frac{B}{A})$ of the three nuclei.

1. ${\Delta }_O$>${\Delta }_{Fe}$>${\Delta }_U$
2. ${\Delta }_{Fe}$>${\Delta }_O$>${\Delta }_U$
3. ${\Delta }_U$>${\Delta }_O$>${\Delta }_{Fe}$
4. ${\Delta }_U$>${\Delta }_{Fe}$>${\Delta }_O$

Q. The binding energy of an element is 64 MeV. If the binding energy per nucleon is 6.4 MeV, then the number of nucleons are 10.

1. True
2. False

Q. Nuclear binding energy is the energy released during the hypothetical formation of the nucleus by the condensation of individual nucleons. Thus, binding energy per nucleon =$\frac{\text{Total binding energy}}{\text{Number of nucleons}}$ For example, the mass of hydrogen atom is equal to the sum of the masses of a proton and an electron. For other atoms, the atomic mass is less than the sum of the masses of protons, neutrons and electrons present. This difference in mass, termed as mass defect, is a measure of the binding energy of protons and neutrons in the nucleus. The mass-energy relationship postulated by Einstein is expressed as: $\Delta E=\Delta m{c}^2$
Where $\Delta E$ is the energy liberated, $\Delta m$ is the loss of mass, and c is the speed of light.
In the reaction ${}_1^{2}H{+}_1^{3}H{\to }_2^{4}He{+}_0^{1}n$, if binding energies ${}_1^{2}H{,}_1^{3}H\text{and}{}_2^{4}He$ are respectively a, b and c (in MeV), then the energy released in this reaction is:

1. $a+b+c$
2. $a+b-c$
3. $c-a-b$
4. $c+a-b$

Q. Nuclear binding energy is the energy released during the hypothetical formation of the nucleus by the condensation of individual nucleons. Thus, binding energy per nucleon =$\frac{\text{Total binding energy}}{\text{Number of nucleons}}$ For example, the mass of hydrogen atom is equal to the sum of the masses of a proton and an electron. For other atoms, the atomic mass is less than the sum of the masses of protons, neutrons and electrons present. This difference in mass, termed as mass defect, is a measure of the binding energy of protons and neutrons in the nucleus. The mass-energy relationship postulated by Einstein is expressed as:
$\Delta E=\Delta m{c}^2$
Where $\Delta E$ is the energy liberated, $\Delta m$ is the loss of mass, and c is the speed of light.

$MP$ and $Mn$ are masses of a proton and a neutron respectively. For a nucleus, its binding energy is $B$ and it contains $Z$ protons and $N$ neutrons, the correct relation for this nucleus if $C$ is velocity of light is:

1. $M(N,Z)=N{M}_n+Z{M}_p-\frac{B}{C^2}$
   
2. $M(N,Z)=N{M}_n+Z{M}_p+\frac{B}{C^2}$
3. $M(N,Z)=N{M}_n+Z{M}_p+B{C}^2$
4. $M(N,Z)=N{M}_n+Z{M}_p-B{C}^2$

Q. In the total binding energies of ${}_1{H}^{2}an{d}_{2}H{e}^4{,}_{26}F{e}^{56}$ and ${}_{92}{U}^{235}$ nuclei are 2.22, 28.3, 492 and 1786 MeV respectively. Identify the most stable nucleus out of the following

1. ${}_1{H}^2$
   
2. ${}_{2}H{e}^4$
   
3. ${}_{26}F{e}^{56}$
   
4. ${}_{92}{U}^{235}$

Q.
Binding energy per nucleon vs mass number curve for nuclei is shown in the figure. W, X, Y and Z are four nuclei indicated on the curve. The process that would release energy is

1. $Y\to 2Z$
2. $W\to X+Z$
3. $W\to 2Y$
4. $X\to Y+Z$

Q. It is easier to remove a nucleon from nucleus X than nucleus Y. X has _____________ binding energy per nucleon than Y?

1. Higher

2. Lower

Q.

Match the following for a pair of protons:
1. Electrostatic Force I. Attractive
2. Strong Nuclear Force II. Repulsive

1. 1-I, 2-II

2. 1-I, 2-I
3. 1-II, 2-II

4. 1-II, 2-I