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JEE Nuclear Physics PYQs with Solutions

389 previous year questions from Nuclear Physics (JEE Main & Advanced Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

389 questionsPhysics2002–2026Answers + solutions

About Nuclear Physics PYQs

Nuclear Physics has 389 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 220 questions in this list come from JEE Main (165), JEE Advanced (36) and NTA Abhyas JEE Main (19), spanning 2002 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 15
  • 2025: 8
  • 2024: 18
  • 2023: 23
  • 2022: 21
  • 2021: 24
  • 2020: 27
  • 2019: 11
  • 2018: 6
  • 2017: 4
  • 2016: 4
  • 2015: 4

Nuclear Physics questions with solutions

1

A nuclear reactor starts producing a radioactive nuclide X from t = 0 , at a constant rate of α per second. Each decay of X produces energy E_0 , which is utilized to heat a

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2

Two radioactive substances A and B of mass numbers 200 and 212 respectively, shows spontaneous α -decay with same Q value of 1 MeV. The ratio of energies of α -rays produced by A

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3

The energy released if hydrogen atoms are combined to form ^ 4 _ 2 He is __________ MeV. (Take binding energies per nucleon of ^ 2 _ 1 H and ^ 4 _ 2 He as 1.1 MeV and 7.2 MeV

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4

The energy released when (7)/(17.13) kg of ^ 7 _ 3 Li is converted into ^ 4 _ 2 He by proton bombardment is α × 10^ 32 eV. The value of α is _______. (Nearest integer) (Mass of ^

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5

Assuming the experimental mass of ^ 12 _ 6 C as 12 u , the mass defect of ^ 12 _ 6 C atom is _______ MeV/c^2 . (Mass of proton = 1.00727 u , mass of neutron = 1.00866 u , 1 u =

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6

Two nuclei of mass number 3 combine with another nucleus of mass number 4 to yield a nucleus of mass number 10 . If the binding energy per nucleon for the mass numbers 3 , 4 and

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7

The binding energy per nucleon of ^ 209 _ 83 Bi is _______ MeV. [Take m(^ 209 _ 83 Bi) = 208.980388 \, u, \, m_p = 1.007825 \, u, \, m_n = 1.008665 \, u, \, 1 \, u = 931 \

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8

A nucleus has mass number α and radius R_ α . Another nucleus has mass number β and radius R_ β . If β=8 α then R_ α / R_ β is:

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9

An atom _ 3 ^ 8 X is bombarded by shower of fundamental particles and in 10 s this atom absorbed 10 electrons, 10 protons and 9 neutrons. The percentage growth in the surface area

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10

The binding energy for the following nuclear reactions are expressed in MeV. _ 2 He^ 3 + _ 0 n^ 1 arrow _ 2 He^ 4 +20 MeV _ 2 He^ 4 + _ 0 n^ 1 arrow _ 2 He^ 5 -0.9 MeV If X_ 3

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11

Given below are two statements: Statement I : For all elements, greater the mass of the nucleus, greater is the binding energy per nucleon. Statement II : For all elements, nuclei

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12

Which of the following pair of nuclei are isobars of the element?

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13

The average energy released per fission for the nucleus of _ 92 ^ 235 U is 190 MeV. When all the atoms of 47 g pure _ 92 ^ 235 U undergo fission process, the energy released is α

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14

The minimum frequency of photon required to break a particle of mass 15.348 amu into 4 α particles is \_\_\_\_ kHz. [mass of He nucleus = 4.002 amu, 1 amu=1.66 × 10^ -27 ~kg

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15

7.9 MeV α -particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) \_\_\_\_ m.

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16

For a nucleus of mass number A and radius R , the mass density of nucleus can be represented as

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17

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The density of the copper ( _ 29 ^ 64 Cu) nucleus is

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18

A radioactive material P first decays into Q and then Q decays to non-radioactive material R. Which of the following figure represents time dependent mass of P, Q and R ?

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19

Match the List-I with List-II List-I List-II A. _0^1 n+ _ 92 ^ 235 U arrow _ 54 ^ 140 Xe+ _ 38 ^ 94 Sr+2 _0^1 n I. Chemical reaction B. 2 H_2+O_2 arrow 2 H_2 O II. Fusion with +ve

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20

Energy released when two deuterons ( _1 H^2) fuse to form a helium nucleus ( _2 He^4) is : (Given : Binding energy per nucleon of _1 H^2=1.1 MeV and binding energy per nucleon of

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21

Choose the correct nuclear process from the below options [p: proton, n : neutron, e^ - : electron, e^ + : positron, v: neutrino, v : antineutrino]

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22

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The binding energy per nucleon is found to be practically

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23

A radioactive nucleus n_2 has 3 times the decay constant as compared to the decay constant of another radioactive nucleus n_1 . If initial number of both nuclei are the same, what

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24

A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2: 1 . After disintegration they will move :

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25

The energy released in the fusion of 2 ~kg of hydrogen deep in the sun is E_H and the energy released in the fission of 2 ~kg of ^ 235 U is E_U . The ratio (E_H)/(E_U) is

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26

The energy equivalent of 1 ~g of substance is :

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27

A star has 100 \% helium composition. It starts to convert three ^4 He into one ^ 12 C via triple alpha process as ^4 He+ ^4 He+ ^4 He arrow ^ 12 C+Q . The mass of the star is 2.0

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28

If M_o is the mass of isotope _5^ 12 B, M_P and M_n are the masses of proton and neutron, then nuclear binding energy of isotope is :

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29

In a hypothetical fission reaction _ 92 X^ 236 arrow _ 56 Y^ 141 + _ 36 Z^ 92 +3 R The identity of emitted particles ( R) is :

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30

Binding energy of a certain nucleus is 18 × 10^8 ~J . How much is the difference between total mass of all the nucleons and nuclear mass of the given nucleus:

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31

If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is _____ × 10^ -2 MeV . (Given 1 u=931 MeV / c^2 , atomic mass of helium

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32

The disintegration energy Q for the nuclear fission of ^ 235 U arrow ^ 140 Ce+ ^ 94 Zr+n is ______ MeV . Given atomic masses of ^ 235 U: 235.0439 u ; ^ 140 Ce: 139.9054 u , ^ 94

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33

Which of the following nuclear fragments corresponding to nuclear fission between neutron ( _0^1 n) and uranium isotope ( _ 92 ^ 235 U) is correct :

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34

From the statements given below : (A) The angular momentum of an electron in n ^ th orbit is an integral multiple of h . (B) Nuclear forces do not obey inverse square law. (C)

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35

The radius of a nucleus of mass number 64 is 4 . 8 fermi. Then the mass number of another nucleus having radius of 4 fermi is (1000)/(x), where x is _________.

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36

The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is:

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37

A nucleus has mass number A _ 1 and volume V _ 1 . Another nucleus has mass number A _ 2 and volume V _ 2 . If relation between mass number is A _ 2 = 4 A _ 1 , then V _ 2 V _ 1 =

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38

In a nuclear fission reaction of an isotope of mass M , three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect will be :

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39

The explosive in a Hydrogen bomb is a mixture of H 2 1 , H 3 1 and Li 6 3 in some condensed form. The chain reaction is given by Li 6 3 + n 1 0 → He 4 2 + H 3 1 ; H 2 1 + H 3 1 →

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40

The atomic mass of C 12 6 is 12 . 000000u and that of C 13 6 is 13 . 003354u . The required energy to remove a neutron from C 13 6 , if mass of neutron is 1 . 008665u , will be:

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41

In a nuclear fission process, a high mass nuclide ( A ≈ 236 ) with binding energy 7 . 6MeV / Nucleon dissociated into two middle mass nuclides ( A ≈ 118 ) , having binding energy

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42

In a radioactive decay process, the activity is defined as A = - (dN)/(dt) , where N ( t ) is the number of radioactive nuclei at time (t) . Two radioactive sources, S _ 1 and S _

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43

List- I shows different radioactive decay processes and List- II provides possible emitted particles. Match each entry in List- I with an appropriate entry from List- II , and

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44

The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is :

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45

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : The binding energy per nucleon is practically independent of the

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46

92238 A → 90234 B + D 24 + Q In the given nuclear reaction, the approximate amount of energy released will be: [Given, mass of 92238 A = 238 . 05079 × 931 . 5MeV c ^ - 2 , mass of

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47

A common example of alpha decay is 23892U → ^ 234 90Th + _ 2 He ^ 4 + Q Given: ^ 238 92U = 238 . 05060u ^ 234 90Th = 234 . 04360u ^ 4 2He = 4 . 00260u and 1u = 931 . 5 MeV c ^ 2

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48

Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B . If λ _ A and λ _ B are decay constants of A and B

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49

The half life of a radioactive substance is T . The time taken, for disintegrating ((7)/(8)) ^ th part of its original mass will be:

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50

The decay constant for a radioactive nuclide is 1 . 5 × 10 ^ - 5 s ^ - 1 . Atomic weight of the substance is 60g mole ^ - 1 , N _ A = 6 × 10 ^ 23 . The activity of 1 . 0 µ g of

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51

A radio active material is reduced to (1)/(8) of its original amount in 3 days. If 8 × 10 ^ - 3 kg of the material is left after 5 days the initial amount of the material is

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52

For a nucleus X ZA having mass number A and atomic number Z A. The surface energy per nucleon ( b _ s ) = – a _ 1 A(2)/(3) . B. The Coulomb contribution to the binding energy b _

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53

A nucleus with mass number 242 and binding energy per nucleon as 7 . 6MeV breaks into two fragment each with mass number 121 . If each fragment nucleus has binding energy per

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54

If the binding energy of ground state electron in a hydrogen atom is 13 . 6eV , then, the energy required to remove the electron from the second excited state of Li ^ 2 + will be

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55

A free neutron decays into a proton but a free proton does not decay into neutron. This is because

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56

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : The nuclear density of nuclides B 510 , L 36 i, F 2656 e, N

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57

A radioactive nucleus decays by two different process. The half life of the first process is 5 minutes and that of the second process is 30s . The effective half-life of the

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58

Substance A has atomic mass number 16 and half life of 1 day. Another substance B has atomic mass number 32 and half life of (1)/(2) day. If both A and B simultaneously start

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59

If a radioactive element having half-life of 30 min is undergoing beta decay, the fraction of radioactive element remains undecayed after 90 min will be :

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60

A radioactive element X 92242 emits two α -particles, one electron and two positrons. The product nucleus is represented by Y P234 . The value of P is ______.

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61

The ratio of the density of oxygen nucleus (O 816) and helium nucleus (He 24) is

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62

The energy released per fission of nucleus of X 240 is 200MeV . The energy released if all the atoms in 120g of pure X 240 undergo fission is _____ × 10 ^ 25 MeV . (Given N _ A =

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63

Consider the following radioactive decay process: A 84218 α ⟶ A _ 1 β ^ - ⟶ A _ 2 γ ⟶ A _ 3 α ⟶ A _ 4 β ^ + ⟶ A _ 5 γ ⟶ A _ 6 The mass number and the atomic number of A _ 6 are

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64

Assume that protons and neutrons have equal masses. Mass of a nucleon is 1 . 6 × 10 ^ - 27 kg and radius of nucleus is 1 . 5 × 10 ^ - 15 A(1)/(3)m . The approximate ratio of the

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65

In a radioactive decay chain reaction, 90230Th nucleus decays into Po 84214 nucleus. The ratio of the number of α to number of β ^ - particles emitted in this process is _______.

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66

The minimum kinetic energy needed by an alpha particle to cause the nuclear reaction N 716 + He 24 → H 11 + O 819 in a laboratory frame is n (in MeV ). Assume that N 716 is at

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67

The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the

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68

Two radioactive materials A and B have decay constants 25λ and 16λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of B to

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69

A radioactive sample decays (7)/(8) times its original quantity in 15 minutes. The half-life of the sample is

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70

The half life period of a radioactive substance is 60 days. The time taken for (7)/(8) th of its original mass to disintegrate will be :

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71

A freshly prepared radioactive source of half life 2 hours 30 minutes emits radiation which is 64 times the permissible safe level. The minimum time, after which it would be

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72

The activity of a radioactive material is 6 . 4 × 10 ^ - 4 curie. Its half life is 5 days. The activity will become 5 × 10 ^ - 6 curie after

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73

What is the half-life period of a radioactive material if its activity drops to 1 16 ^ th of its initial value of 30 years ?

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74

Mass numbers of two nuclei are in the ratio of 4: 3 . Their nuclear densities will be in the ratio of

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75

Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given below: X 12 + X 12 = Y 24 The binding energies per nucleon X 12 and Y 24 are 1 . 1MeV and

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76

The disintegration rate of a certain radioactive sample at any instant is 4250 disintegrations per minute. 10 minutes later, the rate becomes 2250 disintegrations per minute. The

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77

In the following nuclear reaction, D α → D _ 1 β ^ - → D _ 2 α → D _ 3 γ → D _ 4 Mass number of D is 182 and atomic number is 74 . Mass number and atomic number of D _ 4

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78

The half life of a radioactive substance is 5 years. After x years a given sample of the radioactive substance gets reduced to 6 . 25 % of its initial value. The value of x is ____

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79

The activity of a radioactive material is 2 . 56 × 10 ^ - 3 Ci . If the half life of the material is 5 days, after how many days the activity will become 2 × 10 ^ - 5 Ci ?

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80

Following statements related to radioactivity are given below : (A) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions. (B) The

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81

The Q -value of a nuclear reaction and kinetic energy of the projectile particle, K _ p are related as

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82

A radioactive nucleus can decay by two different processes. Half-life for the first process is 3 . 0 hours while it is 4 . 5 hours for the second process. The effective halflife

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83

How many alpha and beta particles are emitted when Uranium U 92 ^ 238 decays to lead Pb 82 ^ 206 ?

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84

A sample contains 10 ^ - 2 kg each of two substances A and B with half lives 4s and 8s respectively. The ratio of their atomic weights is 1: 2 . The ratio of the amounts of A and

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85

Nucleus A is having mass number 220 and its binding energy per nucleon is 5 . 6MeV . It splits in two fragments B and C of mass numbers 105 and 115 . The binding energy of

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86

A heavy nucleus N , at rest, undergoes fission N → P + Q, where P and Q are two lighter nuclei. Let δ = M _ N - M _ P - M _ Q , where M _ P , M _ Q and M _ N are the masses of P

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87

A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60 % and beta-decay with probability of 40 % . Initially, the number of Q nuclei is 1000 . The

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88

The half life period of a radioactive element x is same as the mean life time of another radioactive element y . Initially they have the same number of atoms. Then:

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89

A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B, which in turn disintegrates to some other stable nucleus C . Plot of a graph showing the

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90

There are 10 ^ 10 radioactive nuclei in a given radioactive element. Its half-life time is 1min . How many nuclei will remain after 30s ? ( 2 = 1 . 414 )

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91

At time t = 0 , a material is composed of two radioactive atoms A and B , where N _ A ( 0 ) = 2 N _ B ( 0 ) The decay constant of both kind of radioactive atoms is λ . However, A

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92

Consider the following statements: A . Atoms of each element emit characteristics spectrum. B . According to Bohr's Postulate, an electron in a hydrogen atom revolves in a

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93

If f denotes the ratio of the number of nuclei decayed ( N _ d ) to the number of nuclei at t = 0, ( N _ 0 ) then for a collection of radioactive nuclei, the rate of change of f

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94

A radioactive sample has an average life of 30ms and is decaying. A capacitor of capacitance 200 is first charged and later connected with resistor R . If the ratio of the charge

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95

From the given data, the amount of energy required to break the nucleus of aluminium Al 1327 is __________ x × 10 ^ - 3 J Mass of neutron = 1 . 00866u Mass of proton = 1 . 00726u

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96

The nuclear activity of a radioactive element becomes ((1)/(8)) ^ th of its initial value in 30 years. The half-life of radioactive element is ________ years.

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97

Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei

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98

The half-life of Au 198 is 3 days. If atomic weight of Au 198 is 198g mol ^ - 1 , then the activity of 2mg of Au 198 is [in disintegration second ^ - 1 ]:

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99

A nucleus with mass number 184 initially at rest emits an α - particle. If the Q value of the reaction is 5 . 5MeV, calculate the kinetic energy of the α - particle.

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100

For a certain radioactive process, the graph between lnR and t ( sec ) is obtained as shown in the figure. Then the value of half life for the unknown radioactive material is

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101

A radioactive substance decays to ((1)/(16)) ^ th of its initial activity in 80 days. The half life of the radioactive substance expressed in days is ________.

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102

A radioactive material decays by simultaneous emissions of two particles with half lives of 1400 years and 700 years, respectively. What will be the time after the which one third

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103

A nucleus of mass M emits γ -ray photon of frequency v . The loss of internal energy by the nucleus is: [Take c as the speed of electromagnetic wave]

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104

The decay of a proton to neutron is :

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105

A radioactive sample disintegrates via two independent decay processes having half lives T _ 1 / 2 ^ ( 1 ) and T _ 1 / 2 ^ ( 2 ) respectively. The effective half- life T _ 1 / 2

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106

The half-life of Au ^ 198 is 2 . 7 days. The activity of 1 . 50mg of Au ^ 198 , if its atomic weight is 198g mol ^ - 1 is, ( N _ A = 6 × 10 ^ 23 mol ^ - 1 )

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107

Calculate the time interval between 33 % decay and 67 % decay if half-life of a substance is 20min .

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108

A radioactive sample is undergoing α decay, At any time t _ 1 , its activity is A and another time t _ 2 , the activity is (A)/(5) . What is the average life time for the sample ?

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109

Two radioactive substances X and Y originally have N _ 1 and N _ 2 nuclei respectively. Half life of X is half of the half life of Y . After three half lives of Y , number of

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110

Given the masses of various atomic particles m _ P = 1, 0072u , m _ n = 1, 0087u , m _ e = 0 .000548 u , m ¯ v = 0 , m _ d = 2 .0141 u , where p = proton, n ≡ neutron, e ≡

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111

You are given that Li 37 = 7 . 0160u, Mass of Mass of He 24 = 4 . 0026u and Mass of He 11 = 1 . 0079H When 20g of Li 37 is converted into _ 2 ^ 4 He by proton capture, the energy

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112

A radioactive nucleus decays by two different processes. The half-life for the first process is 10s and that for the second is 100s . The effective half-life of the nucleus is

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113

Activities of three radioactive substances A, B and C are represented by the curves A, B and C, in the figure. Then their half-lives T(1)/(2)(A): T(1)/(2)(B): T(1)/(2)(C) are in

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114

Find the Binding energy per nucleon for Sn 50120 . Mass of proton m _ p = 1 . 00783U , mass of neutron m _ n = 1 . 00867U and mass of tin nucleus m _ sn = 119 . 902199U . (take 1U

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115

The radius R of a nucleus of mass number A can be estimated by the formula R = (1 . 3 × 10 ^ - 15 ) A ^ 1 / 3 m . It follows that the mass density of n nucleus is of the order of

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116

In a radioactive material, a fraction of active material remaining after the time tis(9)/(16) . The fraction that was remaining after the time (t)/(2) is :

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117

The activity of a radioactive sample falls from 700 s ^ - 1 to 500 s ^ - 1 in 30 minutes. Its half life is close to:

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118

Half-life of radioactive substance is 3.20 h . What is the time taken for 75% of substance to be used?

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119

The energy spectrum of β - particles [number N (E) as a function of β - energy E] emitted from a radioactive source is

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120

The mean lives of a radioactive substance are 1620 years& and 405 years for α and β emission respectively. If it is decaying by both α and β & emission simultaneously, then& the

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