CBSE Questions for Class 12 Medical Physics Nuclei Quiz 8 - MCQExams.com

What is the $$Q-value$$ of the reaction?
$$P + \,^{7}Li \rightarrow \, ^{4}He +\, ^{4}He$$
The atomic masses of $$^{1}H, ^{4}He$$ and $$^{7}Li$$ are $$1.007825u, 4.0026034u$$ and $$7.016004u$$ respectively.
  • $$17.35\ MeV$$
  • $$18.06\ MeV$$
  • $$177.35\ MeV$$
  • $$170.35\ MeV$$
Two radioactive sources $$X$$ and $$Y$$ of half lives $$1h$$ and $$2h$$ respectively initially contain the same number of radioactive atoms. At the end of $$2h$$, their rates of disintegration are in the ratio of :
  • $$4:3$$
  • $$3:4$$
  • $$1:2$$
  • $$2:1$$
The binding energy per nucleon of $$_{ 8 }{ { O }^{ 16 } }$$ is $$7.97 MeV$$ and that of $$_{ 8 }{ { O }^{ 17 } }$$ is $$7.75 MeV$$. The energy required to remove one neutron from $$_{ 8 }{ { O }^{ 17 } }$$ is ___________ $$MeV$$.
  • $$3.62$$
  • $$3.52$$
  • $$4.23$$
  • $$7.86$$
Consider the nuclear reaction
$$X^{200}\rightarrow\,A^{110}+B^{90}+ energy $$
If the binding energy per nucleon for $$X , \,A$$ and $$ B$$ is $$7.4 MeV , 8.2 MeV$$ and $$8.2 MeV$$ respectively . What is the energy released?
  • $$200 MeV$$
  • $$160 MeV$$
  • $$110 MeV$$
  • $$90 MeV$$
$$^{234}U$$ has $$92$$ protons and $$234$$ nucleons total in its nucleus. It decays by emitting an alpha particle. After the decay it becomes.
  • $$^{232}U$$
  • $$^{232}Pa$$
  • $$^{230}Th$$
  • $$^{230}Ra$$
The binding energy per nucleon of $$C^{12}$$ is $$E_{1}$$ and that of $$C^{13}$$ is $$E_{2}$$. The energy required to remove one neutron from $$C^{13}$$ is
  • $$12E_{1} + 12E_{2}$$
  • $$13E_{2} - 12E_{1}$$
  • $$12E_{2} - 13E_{1}$$
  • $$13E_{2} + 12E_{1}$$
 A nuclear reaction along with the masses of the particles taking part in it is as follows:
$$A+B\longrightarrow C+D+QMeV$$
$$\underset { amu }{ 1.002 } +\underset { amu }{ 1.004 } \longrightarrow \underset { amu }{ 1.001 } +\underset { amu }{ 1.003 } +Q$$
The energy $$Q$$ liberated in the reaction is
  • $$1.234MeV$$
  • $$1.862MeV$$
  • $$0.931MeV$$
  • $$0.800MeV$$
Li nucleus has three protons and four neutrons. Mass of lithium nucleus is 7.03.6005 amu. Mass of proton is 1.007277 amu and mass of neutron is 1.008665 amu. Mass defect for lithium nucleus in amu is 
  • 0.04048
  • 0.04050
  • 0.04052
  • 0.04055
The mass of $$_{7}N^{15}$$ is $$15.0011\ amu$$, mass of $$_{8}O^{16}$$ is $$15.99492\ amu$$ and $$m_{P} = 1.00783\ amu$$. Determine binding energy of last proton of $$_{8}O^{16}$$.
  • $$2.13\ MeV$$
  • $$0.13\ MeV$$
  • $$10\ MeV$$
  • $$12.13\ MeV$$
Which of the following statements is correct?
  • The rest mass of a stable nucleus is less than the sum of the rest masses of its separated nucleons
  • The rest mass of a stable nucleus is greater than the sum of the rest masses of its separated nucleons
  • In nuclear fission, energy is released by fusion two nuclei of medium mass(approximately $$100$$amu)
  • None of the above
If M(A, Z), $$M_p$$ and $$M_n$$ denote the masses of the nucleus, proton and neutron respectively in units of $$u(1u=931.5 MeV/c^2)$$ and BE represents its binding energy in MeV, then.
  • $$M(A, Z)=ZM_p+(A-Z)M_n-BE$$
  • $$M(A, Z)=ZM_p+(A-Z)M_n+BE/c^2$$
  • $$M(A, Z)=ZM_p+(A-Z)M_n-BE/c^2$$
  • $$M(A, Z)=AM_p+(A-Z)M_n+BE$$
Find the binding energy of an electron in the ground state of a hydrogen like atom in whose spectrum the third of the corresponding Balmer series is equal to 108.5 nm
  • 54.4 eV
  • 13.6 eV
  • 112.4 eV
  • None of these
An energy of $$24.6eV$$ is required to remove one of the electrons from a neutral helium atom. The energy (in eV) required to remove both the electrons from a neutral helium atom is
  • $$38.2$$
  • $$49.2$$
  • $$51.8$$
  • $$79.0$$
Consider the following statements ($$X$$ and $$Y$$ stand for two different elements)
(I) $$_{32}X^{65}$$ and $$_{33}Y^{65}$$ are isotopes.
(II) $$_{42}X^{86}$$ and $$_{42}Y^{85}$$ are isotopes.
(III) $$_{85}X^{174}$$ and $$_{88}Y^{177}$$ have the same number of neutrons.
(IV) $$_{92}X^{235}$$ and $$_{94}Y^{235}$$ are isobars.
The correct statements are
  • II and IV only
  • I, II and IV only
  • II, III and IV only
  • I, II, III and IV
Mass defect for the helium nucleus is $$0.0303\ amu$$. Binding energy per nucleon for this (in $$MeV$$) will be_______
  • $$28$$
  • $$7$$
  • $$4$$
  • $$1$$
Atomic mass of $$_{ 6 }^{ 13 }{ C }$$ is $$13.00335$$ amu and its mass number is $$13.0$$. If amu $$=931$$MeV, binding energy of the neutrons present in the nucleus is
  • 3.10$$\mathrm { MeV }$$
  • 974$$\mathrm { MeV }$$
  • 97.4$$\mathrm { MeV }$$
  • 9.974$$\mathrm { MeV }$$
When the radioactive isotope $$_{88}Ra^{226}$$ decays in a series by emission of three alpha$$(\alpha)$$ and a beta $$(\beta)$$ particle, the isotope X which remains undecay is?
  • $$_{83}X^{214}$$
  • $$_{84}X^{218}$$
  • $$_{84}X^{220}$$
  • $$_{87}X^{223}$$
Which  of the following nucleus is fissionable by slow neutrons: 
  • $$-{92}U^{238}$$
  • $$-{93}Np^{239}$$
  • $$-{92}U^{235}$$
  • $$_{2}I \, le^4$$
An unknown stable nuclide after absorbing a neutron emits an electron, and the new nuclide splits spontaneously into two alpha particles. The unknown nuclide can be
  • $$_4Be^9$$
  • $$_3Li^7$$
  • $$_2He^2$$
  • $$_5B^{10}$$
The first controlled nuclear chain reaction took place in which year?
  • 1895
  • 1910
  • 1942
  • 1945
What form of radiation most closest resembles X-rays?
  • alpha
  • beta
  • gamma
  • neutron
A radioactive nucleus of mass $$M$$ emits a photon of frequency $$v$$ and the nucleus recoils. The recoil energy will be:
  • $$hv$$
  • $$M{ c }^{ 2 }-hv$$
  • $$\dfrac { { h }^{ 2 }{ v }^{ 2 } }{ 2M{ c }^{ 2 } } $$
  • $$Zero$$
A $$\gamma$$ ray photon produces an electron positron pair. If the rest mass energy of electron is $$0.51\ Mev$$ and the total kinetic energy of electron - positron pair is $$0.78\ MeV$$ then the energy of $$\gamma$$- ray photon is $$Mev$$ is
  • $$0.78$$
  • $$1.8$$
  • $$1.28$$
  • $$0.28$$
A nuclear transformation is denoted by $$X(n, \alpha)_{3}^{7}Li$$. Which of the following is the nucleus of element $$X$$?
  • $$_{6}^{12}C$$
  • $$_{5}^{10}B$$
  • $$_{5}^{9}B$$
  • $$_{4}^{11}Be$$
Rn decays into Po by emitting an $$\alpha$$  particle with half life of 4 days. A sample contains $$6.4\ \times \ { 10 }^{ 10 }$$ atoms of Rn. After 12 days, the number of atoms of Rn left in the sample will be
  • $$3.2\ \times \ { 10 }^{ 10 }$$
  • $$0.53\ \times \ { 10 }^{ 10 }$$
  • $$2.1\ \times \ { 10 }^{ 10 }$$
  • $$0.8\ \times \ { 10 }^{ 10 }$$
Which symbol is used to represent the unit of atomic mass, amu?
  • u
  • A
  • M
  • n
$$^{12}_6C$$ and $$^{14}_6C$$ are examples of isobars.
  • True
  • False
A nuclear transformation is denoted by $$X(n, \alpha) \rightarrow _{3}^{7}Li$$. Which of the following is the nucleus of element $$X$$?
  • $$_{6}^{12}C$$
  • $$_{5}^{10}B$$
  • $$_{5}^{9}B$$
  • $$_{4}^{11}Be$$
The binding energies per nucleon of deuteron $$(_{1}H^{2})$$ and helium atom $$(_{2}He^{4})$$ are $$1.1\ MeV$$ and $$7\ MeV$$. If two deuteron atoms react to form a single helium atom, then the energy released is
  • $$13.9\ MeV$$
  • $$26.9\ MeV$$
  • $$23.6\ MeV$$
  • $$19.2\ MeV$$
In the nuclear fusion reaction
$$_{ 1 }^{ 2 }{ H }+_{ 1 }^{ 3 }{ H }\rightarrow _{ 2 }^{ 4 }{ He }+n\quad $$ given that the repulsive potential energy between the two nuclei is $$-7.7\times { 10 }^{ -14 }J$$, the temperature at which the gases must be heated to initiate the reaction is nearly (Boltzmann's constant $$k=1.38\times { 10 }^{ -23 }J/K$$)
  • $${ 10 }^{ 7 }K\quad $$
  • $${ 10 }^{ 5 }K$$
  • $${ 10 }^{ 3 }K$$
  • $${ 10 }^{ 9 }K$$
A radioactive nuclide X decays into nuclei T and Z by simultaneous disintegration as shown. Effective decay constant for the disintegration is
850779_80b0cd1071fb470abf442327af03d53c.png
  • $${ \lambda }_{ 1 }+{ \lambda }_{ 2 }$$
  • $$\dfrac { { \lambda }_{ 1 }{ \lambda }_{ 2 } }{ { \lambda }_{ 1 }+{ \lambda }_{ 2 } }$$
  • $$\dfrac { { \lambda }_{ 1 }+{ \lambda }_{ 2 } }{ 2 }$$
  • $$\dfrac { 2{ \lambda }_{ 1 }{ \lambda }_{ 2 } }{ { \lambda }_{ 1 }+{ \lambda }_{ 2 } }$$
Decreasing order of atomic weight is correct of the elements given below?
  • $$Fe > Co > Ni$$
  • $$Ni > Co > Fe$$
  • $$Co > Ni > Fe$$
  • $$Co > Fe > Ni$$
A collective name for nucleons and other elementary particles that decay into nucleons by the emission of mesons is?
  • Baryon
  • Boson
  • Fermion
  • Hadron
The mass of $$_{ 17 }{ { CI }^{ 35 } }$$ is $$34.9800$$ amu. Calculate its binding energy (mass of $$_{ 0 }{ { n }^{ 1 } }=1.008665$$ amu $$_{ 1 }{ { H }^{ 1 } }=1.007825$$ amu):
  • $$2.88 MeV$$
  • $$28.8 MeV$$
  • $$280 MeV$$
  • $$2880 MeV$$
The above is a plot of binding energy per nucleon $${E}_{b}$$, against the nuclear mass $$M$$; $$A,B,C,D,E,F$$ correspond to different nuclei. Consider four reactions:
(i) $$A+B\rightarrow C+\varepsilon $$
(ii) $$C\rightarrow A+B+\varepsilon $$
(iii) $$D+E\rightarrow F+\varepsilon $$
(iv) $$F\rightarrow D+E+\varepsilon $$
where $$\varepsilon $$ is the energy released? In which reactions is $$\varepsilon $$ positive. 
1012881_d579c18cb1ad47c2a72c66e7471a494b.PNG
  • (ii) and (iv)
  • (ii) and (iii)
  • (i) and (iv)
  • (i) and (iii)
A nucleus of mass $$M+\Delta m$$ is at rest and decays into two daughter nuclei of equal mass $$\cfrac{M}{2}$$ each. Speed of light is $$c$$. The binding energy per nucleon for the parent nucleus is $${E}_{1}$$ and that for the daughter nuclei is $${E}_{2}$$. Then :
  • $${ E }_{ 2 }>2{ E }_{ 1 }$$
  • $${ E }_{ 1 }>{ E }_{ 2 }$$
  • $${ E }_{ 2 }>{ E }_{ 1 }$$
  • $${ E }_{ 1 }=2{ E }_{ 2 }$$
If the binding energy of the electron in a hydrogen atom is $$13.6\ eV$$, the energy required to remove the electron from the first excited state of $${Li}^{2+}$$ is:
  • $$30.6\ eV$$
  • $$13.6\ eV$$
  • $$3.4\ eV$$
  • $$122.4\ eV$$
When $${ 10 }^{ 20 }$$ electrons are removed from a neutral metal plate through some process, the charge on it becomes ______
  • $$-1.6C$$
  • $$+16C$$
  • $$+1.6C$$
  • $${10}^{-19}C$$
A nuclide $$A$$ undergoes $$\alpha$$ decay and another nuclide $$B$$ undergoes $$\beta$$ decay. Then
  • all the $$\alpha-$$particles emitted by $$A$$ will have almost the same speed
  • the $$\alpha-$$particles emitted by $$A$$ may have widely different speeds
  • all the $$\beta-$$particles emitted b $$B$$ will have almost the same speed
  • the $$\beta-$$particles emitted by $$B$$ may have widely different speeds.
A small quantity of solution containing $$^{24}Na$$ radio-nuclide (half life $$15$$ hours) of activity $$1.0$$ micro-curie is injected into the blood of a person. A sample of the blood of volume $$1\ cm^{3}$$ taken after $$5\ hours$$ shows an activity of $$296$$ disintegrations per minute. Determine the total volume of blood in the body of the person. Assume that the radio active solution mixes uniformly in the blood of the person.
($$1\ curie = 3.7\times 10^{10}$$ disintegrations per second).
  • $$5.95\ Litre$$.
  • $$5\ Litre$$.
  • $$55\ Litre$$.
  • $$7\ Litre$$.
Statement 1: Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion and
Statement II: For heavy nuclei, binding energy per nucleon increases with increasing Z while for light nuclei it decrease with increasing Z
  • Statement 1 is false, statement 2 is true
  • Statement 1 is false, statement 2 is true, statement 2 is correct explanation for statement 1
  • Statement 1 is false, statement 2 is true, statement 2 is not the correct explanation for statement 1
  • Statement 1 is true, statement 2 is false
A nuclear transformation is denoted by $$X\left( n,\alpha  \right) \ _{ 3 }^{ 7 }{ Li }$$. Which of the following is the nucleus of element $$X$$?
  • $${ _{ }^{ 12 }{ C } }_{ 6 }$$
  • $$_{ 5 }^{ 10 }{ B }$$
  • $$_{ 5 }^{ 9 }{ B }$$
  • $$_{ 4 }^{ 11 }{ Be }$$
The energy of thermal neutron is about :
  • $$25\ MeV$$
  • $$0.51\ MeV$$
  • $$25\ meV$$
  • $$1.02\ MeV$$
Binding Energy per nucleon of a fixed nucleus $$X^4$$ is $$6\ MeV.$$ It absorbs a neutron moving with $$KE = 2\ MeV,$$ and converts into $$Y$$ at ground state, emitting a photon of energy $$1\ MeV.$$ The Binding Energy per nucleon of $$Y$$ ($$in Mev$$) is:
  • $$\dfrac{(6A + 1)}{(A + 1)}$$
  • $$\dfrac{(6A - 1)}{(A + 1)}$$
  • $$7$$
  • $$\dfrac{7}{6}$$
What would be the energy required to dissociate completely $$1$$ g of $$Ca \ (40)$$ into its constituent particles? 
Given: Mass of proton = 1.007277 amu,
Mass of neutron = 1.00866 amu,
Mass of Ca-40= 39.97545 amu
(take amu = 931 MeV)
  • $$4.813\times 10^{24}$$MeV
  • $$4.813\times 10^{24}$$ eV
  • $$4.813\times 10^{23}$$
  • None of the above
In $$Q-26$$, find the initial activity of sample.
  • $$6.79\ \times 10^{16}\ disintegration/sec$$
  • $$5.79\ \times 10^{15}\ disintegration/sec$$
  • $$10\ \times 10^{15}\ disintegration/sec$$
  • none of these.
The binding energy per nucleon of $$^7_3 Li$$ and $$^4_2 He$$ nuclei are 5.60 MeV and 7.06 Me V, respectively. In the nuclear reaction $$^7_3 Li + ^1_1 He \longrightarrow ^4_2 H + ^4_2 He + Q$$ the value of energy Q released is
  • -2.4 MeV
  • 8.4 MeV
  • 17.3 MeV
  • 19.6 MeV
If $$I$$ excitation energy for the $$H-$$ like (hypothetical) sample is $$24\ eV$$, then binding energy in $$III$$ excired state is:
  • $$2\ eV$$
  • $$3\ eV$$
  • $$4\ eV$$
  • $$5\ eV$$

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


1022919_3f507c795fb043019d2243fd97d029fc.png
  • $${\rm{Y}} \to {\rm{2Z}}$$
  • $${\rm{W}} \to {\rm{X + Z}}$$
  • $${\rm{W}} \to {\rm{2Y}}$$
  • $${\rm{X}} \to {\rm{Y + Z}}$$ 
A stationary $$U^{238}$$ nucleus undergoes $$\alpha$$- decay. If the kinetic energy of product nucleus is $$E$$, the total energy released  in the process is-
  • $$E$$
  • $$58.5E$$
  • $$59.5E$$
  • $$60.5E$$
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 12 Medical Physics Quiz Questions and Answers