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Nuclear Physics — NEET UG Physics PYQs

341 previous year questions from Nuclear Physics with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

341 questionsPhysicsSolutions on every page
1

Consider the following nuclear fission reaction ₀^1 n + ₉₂²³⁵U _Z^A Y + ₄₁⁹⁹Nb + neutrons . If 4 neutrons are released during the fission process, then A and Z are

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2

Two spherical nuclei have mass numbers 216 and 64 with their radii R₁ and R₂ respectively. The ratio R₁ R₂ is

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3

At time t = 0 , the activity of a radioactive substance is 1600 Bq. At t= 8 s, the activity remains 100 Bq. The activity at t = 2 s, the is

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4

A radioactive nucleus ₉₂X²³⁵ decays to ₉₁Y²³¹ . Which of the following particles are emitted?

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5

In a given reaction, ^ A _ Z X ^ A _ Z+1 Y ^ A-4 _ Z-1 K ^ A-4 _ Z-1 K the radioactive radiations are emitted in the sequence of

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6

When a nucleus in an atom undergoes a radioactive decay, the atomic number and/or mass number of the atom

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7

A common example of ^- decay is ₁₅ P ³² ₁₆ S ³² + x + y Then x and y , respectively, stand for

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8

For a radioactive nucleus that undergoes ^+ decay, which of the following CANNOT occur?

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9

Two radioactive materials A and B having decay constant ' 7 ' and ' ' respectively, initially have same number of nuclei. The time taken to have the ratio of number of nuclei of ma

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10

The equation ; 4 ¹₁ H ⁴₂ He ²⁺ + 2 e^- + 26 MeV represents

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11

The activity of a freshly prepared radioactive sample of a radioisotope is 10¹⁰ disintegrations per second. The average life ( ) of this isotope is 10^9 s , and the mass of a singl

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12

A radio isotope X with a half life 1.4 10^8 year, decays to Y, which is stable. A sample of rock from a cave was found to contain X and Y in the ratio 1 : 7 . The age of rock (in y

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13

Four statements are given (A is mass number) : A. The volume of a nucleus is proportional to A^ 1/3 . B. The volume of a nucleus is proportional to A . C. The difference in mass of

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14

Consider the following nuclear reaction : ²³⁸ U ²³⁴ Th + ^4 He Take masses of ²³⁸ U , ²³⁴ Th and ^4 He as 238.050 u, 234.043 u and 4.003 u, respectively. The Q value for the reacti

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15

An unknown nucleus has a nuclear density of 2.29 10¹⁷ kg/m ^3 and mass of 19.926 10⁻²⁷ kg. Its mass number A is approximately : (Take R₀ = 1.2 10⁻¹⁵ m; 4 = 12.56 )

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16

Select the correct statements among the following : A. Slow neutrons can cause fission in ₉₂²³⁵ U than fast neutrons. B. -rays are Helium nuclei. C. -rays are fast moving electrons

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17

Water is used as a coolant in a nuclear reactor because of its

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18

In the nuclear emission stated above, the mass number and atomic number of the product Q respectively, are

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19

The half life of a radioactive substance is   20   minutes. In how much time, the activity of substance drops to 1 16 t h of its initial value?

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20

In the given nuclear reaction, the element X is Na 11 22 → X + e + + v

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21

Given below are two statements: Statement I: The law of radioactive decay states that the number of nuclei undergoing the decay per unit time is inversely proportional to the total

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22

A nucleus of mass number 189 splits into two nuclei having mass number 125 and 64 . The ratio of radius of two daughter nuclei respectively is:

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23

At any instant, two elements X₁ and X₂ have same number of radioactive atoms. If the decay constant of X₁ and X₂ are 10 and respectively. Then the time when the ratio of their atom

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24

The half-life of a radioactive nuclide is 100 hours. The fraction of original activity that will remain after 150 hours would be :

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25

A nucleus with mass number 240 breaks into two fragments each of mass number 120 , the binding energy per nucleon of unfragmented nuclei is 7 . 6   MeV while that of fragments

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26

A radioactive nucleus A Z X undergoes spontaneous decay in the sequence A Z X → Z - 1 B → Z - 3 C → Z - 2 D , where Z is the atomic number of element X . The poss

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27

When a uranium isotope U 92 235 is bombarded with a neutron, it generates Kr 36 89 , three neutrons and:

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28

The half life of radioactive sample undergoing α -decay is 1 . 4 × 10 17   s . If the number of nuclei in the sample is 2 . 0 × 10 21 , the activity of the samp

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29

The energy equivalent of 0.5   g of a substance is:

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30

What happens to the mass number and atomic number of an element when it emits γ -radiation

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31

Ba-122 has half life of 2 min. Experiment has to be done using Ba-122 and it takes 10 min to set up the experiment. If initially 80 g of Ba-122 was taken, how much Ba was left when

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32

In which radiation atomic number and mass number are not affected?

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33

Ratio of charge on positron to mass of positron is approximately

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34

α -particle consists of

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35

The rate of radioactive disintegration at an instant for a radioactive sample of half life 2.2 10^9 ~s is 10¹⁰ ~s ⁻¹ . The number of radioactive atoms in that sample at that instan

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36

If half life of an element is 69.3 hours then how much of its percent will decay between 10^ th and 11^ th hour. Initial activity =50 C _i .

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37

An atomic power nuclear reactor can deliver 300 MW. The energy released due to fission of each nucleus of uranium atoms U ²³⁸ is 170 MeV . The number of uranium atoms fissioned per

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38

Which of the following is fusion process?

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39

In the fusion reaction ₁^2 H + ₁^2 H ₂^3 He + ₀^1 n , the masses of deuteron, helium and neutron expressed in amu are 2.015,3.017 and 1.009 , respectively. If 1 kg of deuterium und

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40

For a radioactive material, the half-life is 10   minutes . If initially there are 600 number of nuclei, the time taken (in minutes ) for the disintegration of 450 nuclei is

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41

The half-life period of a radioactive element X is same as the mean life of another radioactive element Y . Initially, both of them have the same numbers of atoms then,

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42

Radioactive decay will occur as follows aligned & ₈₆²²⁰ Rn ₈₄²¹⁶ PO + ₂^4 He Half life =55 ~s & ₈₄⁸¹⁶ Po ₈₂²¹² ~Pb + ₂^4 He Half life =0 66 ~s & ₈₂²¹² BL + ^ e Half life =10 6 ~h a

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43

When the radioactive isotope ₈₈ R a²²⁶ decays in a series by emission of three alpha ( ) and a beta ( ) particle, the isotope X which remains undecay is

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44

A nucleus _Z^A X has mass represented by m(A, Z) . If m_p and m_n denote the mass of proton and neutron respectively and B E the binding energy (in MeV ) then,

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45

Radioactive material A has decay constant 8 λ and material B has decay constant λ . Initially they have the same number of nuclei. After what time, the ratio of number of

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46

A ^7 Li target is bombarded with a proton beam current of 10⁻⁴ ~A for one hour to produce ^7 Be of activity 1.8 10^8 disintegrations per second. Assuming that one ^7 Be radioactive

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47

A block having 12 g of element is placed in a room. This element is a radioactive element with half-life of 15 yr . After how many years will there be just 1.5 g of the element in

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48

If a proton and anti-proton come close to each other and annihilate, how much energy will be released?

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49

When an α -particle of mass   m moving with a undefined velocity bombards on a heavy nucleus of charge Ze , its distance of the closest approach from the nucleus depends

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50

The half-life of a radioactive substance is 30 min . The time (in minutes) taken between 40 % decay and 85 % decay of the same radioactive substance is

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51

The half-life of ¹⁹⁸ Au is 2.7 days. The average life is

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52

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2: 1 . The ratio of their nuclear size will be

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53

If M_ O is the mass of an oxygen isotope ₈ O ¹⁷ , M_p and M_n are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

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54

If radius of the A 13 27 l nucleus is taken to be R A l then the radius of T e 53 125 nucleus is nearly

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55

A nucleus of uranium decays at rest into nuclei of thorium and helium. Then:

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56

Remaining quantity (in %) of radioactive element after 5 half lives is

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57

A radio isotope ‘ X ’ with a half life 1.4 × 10 9 years decays to ‘ Y ’ which is stable. A sample of the rock from a cave was found to contain ‘

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58

The Binding energy per nucleon of L i 3 7 and H e 2 4 nucleon are 5.60   M e V and 7.06   M eV , respectively. In the nuclear reaction   3 7 L i +   1 1 H &#859

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59

A radioactive element ₉₀ X²³⁸ decays into ₈₃ Y²²² . The number of -particles emitted are

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60

The binding energy per nucleon is maximum in the case

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61

The half-life of radio isotope is 4 h . If initial mass of the isotope was 200 g , then mass remaining after 24 h will be

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62

How does the Binding Energy per nucleon vary with the increase in the number of nucleons?

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63

-particle, -particle and -rays are all having same energy. Their penetrating power in a given medium in incresing order will be:

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64

The half-life of a radioactive isotope X is 20 yr . It decays to another element Y which is stable. The two elements X and Y were found to be in the ratio 1: 7 in a sample of a giv

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65

A certain mass of hydrogen is changed to helium by the process of fusion. The mass defect in fusion reaction is 0.02866 u . The energy liberated per u is (given 1 u =931 MeV )

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66

If the nuclear radius of ²⁷ Al is 3.6 Fermi , the approximate nuclear radius of ⁶⁴ Cu in Fermi is

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67

The half life of a radioactive nucleus is 50 days. The time interval (t₂-t₁ ) between the time t₂ when 2 3 of it has decayed and the time t₁ when 1 3 of it had decayed is

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68

A mixture consists of two radioactive materials A₁ and A₂ with half lives of 20 ~s and 10 ~s respectively. Initially the mixture has 40 ~g of A₁ and 160 ~g of A₂ . The amount of th

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69

Activity of a radioactive sample decreases to (1/3)rd of its original value in 3 days. Then, in 9 days its activity will become

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70

If r₁ and r₂ are the radii of the atomic nuclei of mass numbers 64 and 125 respectively, then the ratio (r₁ / r₂ ) is

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71

The ionization energy of Li ²⁺ is equal to

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72

X-rays are used in determining the molecular structure of crystalline because

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73

The power obtained in a reactor using U ²³⁵ disintegration is 1000 ~kW . The mass decay of U ²³⁵ per hour is

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74

A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be

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75

The half-life of a radioactive isotope X is 50 yr . It decays to another element Y which is stable. The two elements X and Y were found to be in the ratio of 1: 15 in a sample of a

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76

A nucleus _n^m X emits one -particle and two ⁻ particles. The resulting nucleus is

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77

Two radioactive nuclei P and Q , in a given sample decay into a stable nucleous R . At time t=0 , number of P species are 4 N₀ and that of Q are N₀ . Half-life of P (for conversion

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78

Fusion reaction takes place at high temperature because

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79

The half-life of a radio-isotope is 4 h . If initial mass of the isotope was 200 g , then mass remaining after 24 h will be

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80

If ₉₂ U ²³⁸ emits 8 -particles and 6 -particles, then the resulting nucleus is

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81

Which of the following electromagnetic waves have the smallest wavelength?

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82

The mass of a ₃ Li ^7 nucleus is 0.042 u less than the sum of the masses of all its nucleons. The binding energy per nucleon of ₃ Li ^7 nucleus is nearly

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83

The activity of a radioactive sample is measured as N ₀ counts per minute at t =0 and N ₀ / e counts per minute at t =5 ~min . The time (in minute) at which the activity reduces to

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84

The decay constant of a radio isotope is . If A₁ and A ₂ are its activities at times t ₁ and t ₂ respectively, the number of nuclei which have decayed during the time ( t ₁- t ₂ )

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85

The binding energy per nucleon in deuterium and helium nuclei are 1.1 MeV and 7.0 MeV , respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in

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86

Two radioactive substances A and B have decay constants 5 and respectively. At t=0 they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be ( 1

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87

In radioactive decay process, the negatively charged emitted -particles are

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88

In gamma ray emission from a nucleus

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89

If M_O is the mass of an oxygen isotope ₈ O ¹⁷, M_p and M_n are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

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90

In the nuclear decay given below _ Z ^ A X _ Z +1 ^ A Y _ Z -1 ^ A -4 ~B ^* _ Z -1 ^ A -4 ~B , the particles emitted in the sequence are

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91

The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an

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92

In the nuclear decay given below : _ A ^ A X A A +1 Y A _ A -4 ~B ^* A -4 Z -1 ~B The particles emitted in the sequence are :

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93

The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an :

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94

Which of the following hormones contains iodine?

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95

Hydrogen bomb is based upon

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96

The operation of a nuclear reactor is said to be critical, if the multiplication factor (k) has a value

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97

Half-lives of two radioactive substances A and B are respectively 20 min and 40 min . Initially the samples of A and B have equal number of nuclei. After 80 min the ratio of remain

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98

Two radioactive materials X₁ and X₂ have decay constants 5 and respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X₁ to that

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99

If M(A, Z), M_P and M_n denote the masses of the nucleus _Z^A X , proton and neutron respectively in units of u (1 u =931.5 MeV / c^2 ) and BE represents its binding energy in MeV

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100

Two nuclei have their mass numbers in the ratio of 1: 3 . The ratio of their nuclear densities would be

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101

Two radioactive materials X₁ and X₂ have decay constants 5 and respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X ₁ to that

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102

Two nuclei have their mass numbers in the ratio of 1: 3 . The ratio of their nuclear densities would be

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103

46. If M(A ; Z), M_p and M_n denote the masses of the nucleus _Z^A X , proton and neutron respectively in units of u (1 u =931.5 MeV / C ^2 ) and BE represents its bonding energy i

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104

The nuclei of which one of the following pairs of nuclei are isotones ?

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105

In any fission process the ratio is

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106

In the reaction ₁^2 H + ₁^3 H ₂^4 He + ₀^1 n , if the binding energies of ₁^2 H , ₁^3 H and ₂^4 He are respectively a, b and c (in MeV ), then the energy (in MeV ) released in this

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107

Fission of nuclei is possible because the binding energy per nucleon in them

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108

In a radioactive decay process, the negatively charged emitted -particles are:

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109

Two radioactive substances A and B have decay constants 5 and respectively. At t=0 they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be (1

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110

A nucleus ^A_Z X has mass represented by M(A, Z) . If M_p and M_n denote the mass of proton and neutron respectively and B.E. the binding energy in MeV , then

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111

If the nucleus ₁₃²⁷ Al has a nuclear radius of about 3.6 fm , then ₃₂¹²⁵ Te would have its radius approximately as:

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112

In the reaction given below ₈₆ A²²² ₈₄ B²¹⁰ how many and -particles are emitted?

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113

The phenomenon of radioactivity is :

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114

The element ₉₀ Th ²³² belongs to thorium series. Which of the following will act as the end product of the series ?

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115

In a radioactive material the activity at time t₁ is R₁ and at a later time t₂ , it is R₂ . If the decay constant of the material is , then:

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116

The binding energy of deuteron is 2.2 MeV and that of ₂^4 He is 28 MeV . If two deuterons are fused to form one ₂^4 He then the energy released is:

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117

The radius of germanium (Ge) nuclide is measured to be twice the radius of ₄^9 Be . The number of nucleons in Ge are:

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118

India conducted an underground nuclear test at

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119

In the reaction ₁^2 H + ₁^3 H ₂^4 He + ₀^1 n , if the binding energies of ₁^2 H , ₁^3 H and ₂^4 He are respectively a, b and c (in Me V), then the energy (in MeV ) released in this

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120

The nuclei of which one of the following pairs of nuclei are isotones?

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