Binding Energy

Q. The masses of neutron and proton are 1.0087 amu and 1.0073 amu respectively. If the neutrons and protons combine to form a helium nucleus (alpha particles) of mass 4.0015 amu. The binding energy of the helium nucleus will be [1 amu= 931 MeV]

1. 28.4 MeV
2. 20.8 MeV ​
3. 27.3 MeV ​
4. 14.2 MeV

Q. The binding energies per nucleon of deuteron $\left({}_1{H}^2\right)$ and helium atom $\left({}_{2}H{e}^4\right)$ are $1.1\text{MeV}$ and $7\text{MeV}$. If two deuteron atoms react to form a single helium atom, then the energy released is

1. $13.9\text{MeV}$
2. $26.9\text{MeV}$
3. $23.6\text{MeV}$
4. $19.2\text{MeV}$

Q. The mass defect for the nucleus of helium is $0.0303\text{amu}$. The binding energy per nucleon in $\text{MeV}$ is nearly

1. $28$
2. $7$
3. $4$
4. $1$

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. The mass of a ${}_3{\text{Li}}^7$ nucleus is $0.042u$ less than the sum of the masses of all its nucleons. The binding energy per nucleon of ${}_3{\text{Li}}^7$ nucleus is nearly,

1. $3.9\text{MeV}$
2. $5.6\text{MeV}$
3. $23\text{MeV}$
4. $46\text{MeV}$

Q. The binding energy per nucleon for ${\text{C}}^{12}$ is $7.68\text{MeV}$ and that for ${\text{C}}^{13}$ is $7.47\text{MeV}$. The energy required to remove a neutron from ${\text{C}}^{13}$ is

1. $4.95\text{MeV}$
2. $2.75\text{MeV}$
3. $2.52\text{MeV}$
4. $0.21\text{MeV}$

Q. radius of He nucleus is 3Fermi. the radius of S nucleuswill be

Q. The total energy of an electron in the ground state of the hydrogen atom is $-13.6\text{eV}.$ The kinetic energy of an electron in the first excited state is

1. $3.4\text{eV}$
2. $6.8\text{eV}$
3. $13.6\text{eV}$
4. $1.7\text{eV}$

Q. The binding energy of a deuterium nucleus is about $1.115\text{MeV}$ per nucleon. Then the mass defect of the nucleus is about

1. $2077u$
2. $2.23u$
3. $0.0024u$
4. $0.024u$

Q. The energy of the reaction ${\text{Li}}^7+p\to 2{\text{He}}^4$ is
(the binding energy per nucleon of ${\text{Li}}^7$ and ${\text{He}}^4$ nuclei are $5.60\text{MeV}$ and $7.06\text{MeV}$ respectively).

1. $17.3\text{MeV}$
2. $1.73\text{MeV}$
3. $1.46\text{MeV}$
4. Depends on binding energy of the proton

Q. In nuclear reactor, reactor will become supercritical and even explode, if multiplication factor (k)

1. is less than 1
2. is greater than 1
3. is equal to 1
4. k is irrelevant

Q. Suppose the gravitational attraction on a satellite varies inversely as the distance from centre of the earth. The orbital velocity of a satellite in such a case varies as $nth$ power of distance where $n$ is equal to

1. $-1$
2. zero
3. $+1$
4. $+2$

Q. Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units ofMeV from the following data:m (5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u

Q. An $\alpha -$ particle of mass $m$ suffers one-dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing $64\%$ of its initial kinetic energy. The mass of the nucleus is

1. $1.5m$
2. $4m$
3. $3.5m$
4. $2m$

Q. The ratio of kinetic energy of a planet at perihelion and aphelion during its motion around the sun in elliptical orbit of eccentricity $e$ is

1. $1:e$
2. $\frac{1+e}{1-e}$
3. ${\left(\frac{1+e}{1-e}\right)}^2$
4. ${\left(\frac{1-e}{1+e}\right)}^2$

Q. The energy of electron in first excited state of hydrogen atom is $-3.4\text{eV}$, its kinetic energy is,

1. $-3.4\text{eV}$
2. $+3.4\text{eV}$
3. $-6.8\text{eV}$
4. $+6.8\text{eV}$

Q.

Does lattice energy increase across a period?

Q. Calculate the energy released in the fission process. 92U235 + 0n = 56Ba141 + 36Kr92 + 3 0n1. Given M(U235) = 235.0439amu. M(Ba141) = 140.9129, M(Kr92) = 91.8973amu M(0n1) =1.0087amu

Q. A nucleus with mass number $184$ initially at rest emits an $\alpha -\text{particle}$. If the $Q$ value of the reaction is $5.5\text{MeV},$ calculate the kinetic energy of the $\alpha -\text{particle}$.

1. $5.0\text{MeV}$
2. $5.5\text{MeV}$
3. $0.12\text{MeV}$
4. $5.38\text{MeV}$

Q. A neutron collides head-on with a stationary hydrogen atom in ground state. Which of the following statement(s) is / are correct?

$($Assume that mass of the neutron and mass of the hydrogen atom are equal$)$

1. If the Kinetic energy of the neutron is less than $13.6\text{eV}$, collision must be elastic.
2. If the Kinetic energy of the neutron is less than $13.6\text{eV}$, collision must be inelastic.
3. Inelastic collision may take place on when the initial Kinetic energy of neutron is greater than $13.6\text{eV}$
4. If the kinetic energy of the neutron is more than $20.4\text{eV}$, collision must be inelastic.

Q. If the potential energy of a satellite is $-2\text{MJ}$, then the binding energy of the satellite is

1. $1\text{MJ}$
2. $2\text{MJ}$
3. $8\text{MJ}$
4. $4\text{MJ}$

Q. A nucleus $\text{X}$ initially at rest, undergoes alpha decay according to the equation,

${}_Z{\text{X}}^{232}\to {}_{90}{\text{Y}}^A+\alpha$

What fraction of the total energy released in the decay will be the kinetic energy of the alpha particle.

1. $\frac{1}{2}$
2. $\frac{90}{92}$
3. $\sqrt{\frac{228}{232}}$
4. $\frac{228}{232}$

Q.

The strongest attractive force are

1. electrostatic

2. gravitational

3. nuclear

4. nothing can be decided

Q. Find the binding energy per nucleon for ${}_{50}^{120}Sn$. Mass of proton $m_p=1.00783\text{U}$, mass of neutron $m_n=1.00867\text{U}$ and mass of tin nucleus $m_{Sn}=119.902199\text{U}$. (take $1\text{U}=931\text{MeV})$

1. $7.5\text{MeV}$
2. $9.0\text{MeV}$
3. $8.0\text{MeV}$
4. $8.5\text{MeV}$

Q.

Ultraviolet radiation of 6.2 eV falls on an aluminium surface (work function 4.2 eV).The K.E. in joules of fastest electron is approx:

1. 4.2 x 10^-17 J

2. 3 x 10^-19 J

3. 1.4 x 10^-18 J

4. 2.65 x 10^-16 J

Q. If $E$ is the energy of electron in $n^{th}$ orbit of hydrogen atom, then the energy of electron in $n^{th}$ orbit of ${\text{He}}^{+}$ will be

1. $E$
2. $2E$
3. $4E$
4. $8E$

Q. (a) Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number A. (b) A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to 3.125% ?

Q.

Show that the minimum energy needed to separate a proton from a nucleus with Z protons and N neutrons is $△E=(M_{z-1,N}+M_H-M_{Z,n})C^2$ Where $M_{Z,n}$= mass of an atom with Z protons and N neutrons in the nucleus and $M_H$= mass of a hydrogen atom. This energy is known as proton-separation energy.

Q. The binding energy per nucleon is maximum at the mass number $A=56$ and its value is around ____ $\text{MeV}$

1. $7.8$
2. $9$
3. $8.8$
4. $8.4$

Q. What is the ratio of energy of an $e^{-}$, in the $2^{\text{nd}}$ orbit of hydrogen ion to that of electron in the $4^{\text{th}}$ orbit of helium ion ?

1. $2$
2. $4$
3. $16$
4. $1$