Chapter
stringclasses
18 values
sentence_range
stringlengths
3
9
Text
stringlengths
7
7.34k
9
3039-3042
The atomic mass of an element is a weighted average of the masses of its isotopes and calculated in accordance to the relative abundances of the isotopes 5 A nucleus can be considered to be spherical in shape and assigned a radius Electron scattering experiments allow determination of the nuclear radius; it is found that radii of nuclei fit the formula R = R0 A1/3, where R0 = a constant = 1
9
3040-3043
5 A nucleus can be considered to be spherical in shape and assigned a radius Electron scattering experiments allow determination of the nuclear radius; it is found that radii of nuclei fit the formula R = R0 A1/3, where R0 = a constant = 1 2 fm
9
3041-3044
A nucleus can be considered to be spherical in shape and assigned a radius Electron scattering experiments allow determination of the nuclear radius; it is found that radii of nuclei fit the formula R = R0 A1/3, where R0 = a constant = 1 2 fm This implies that the nuclear density is independent of A
9
3042-3045
Electron scattering experiments allow determination of the nuclear radius; it is found that radii of nuclei fit the formula R = R0 A1/3, where R0 = a constant = 1 2 fm This implies that the nuclear density is independent of A It is of the order of 1017 kg/m3
9
3043-3046
2 fm This implies that the nuclear density is independent of A It is of the order of 1017 kg/m3 6
9
3044-3047
This implies that the nuclear density is independent of A It is of the order of 1017 kg/m3 6 Neutrons and protons are bound in a nucleus by the short-range strong nuclear force
9
3045-3048
It is of the order of 1017 kg/m3 6 Neutrons and protons are bound in a nucleus by the short-range strong nuclear force The nuclear force does not distinguish between neutron and proton
9
3046-3049
6 Neutrons and protons are bound in a nucleus by the short-range strong nuclear force The nuclear force does not distinguish between neutron and proton Rationalised 2023-24 319 Nuclei 7
9
3047-3050
Neutrons and protons are bound in a nucleus by the short-range strong nuclear force The nuclear force does not distinguish between neutron and proton Rationalised 2023-24 319 Nuclei 7 The nuclear mass M is always less than the total mass, Sm, of its constituents
9
3048-3051
The nuclear force does not distinguish between neutron and proton Rationalised 2023-24 319 Nuclei 7 The nuclear mass M is always less than the total mass, Sm, of its constituents The difference in mass of a nucleus and its constituents is called the mass defect, DM = (Z mp + (A โ€“ Z )mn) โ€“ M Using Einsteinโ€™s mass energy relation, we express this mass difference in terms of energy as DEb = DM c2 The energy DEb represents the binding energy of the nucleus
9
3049-3052
Rationalised 2023-24 319 Nuclei 7 The nuclear mass M is always less than the total mass, Sm, of its constituents The difference in mass of a nucleus and its constituents is called the mass defect, DM = (Z mp + (A โ€“ Z )mn) โ€“ M Using Einsteinโ€™s mass energy relation, we express this mass difference in terms of energy as DEb = DM c2 The energy DEb represents the binding energy of the nucleus In the mass number range A = 30 to 170, the binding energy per nucleon is nearly constant, about 8 MeV/nucleon
9
3050-3053
The nuclear mass M is always less than the total mass, Sm, of its constituents The difference in mass of a nucleus and its constituents is called the mass defect, DM = (Z mp + (A โ€“ Z )mn) โ€“ M Using Einsteinโ€™s mass energy relation, we express this mass difference in terms of energy as DEb = DM c2 The energy DEb represents the binding energy of the nucleus In the mass number range A = 30 to 170, the binding energy per nucleon is nearly constant, about 8 MeV/nucleon 8
9
3051-3054
The difference in mass of a nucleus and its constituents is called the mass defect, DM = (Z mp + (A โ€“ Z )mn) โ€“ M Using Einsteinโ€™s mass energy relation, we express this mass difference in terms of energy as DEb = DM c2 The energy DEb represents the binding energy of the nucleus In the mass number range A = 30 to 170, the binding energy per nucleon is nearly constant, about 8 MeV/nucleon 8 Energies associated with nuclear processes are about a million times larger than chemical process
9
3052-3055
In the mass number range A = 30 to 170, the binding energy per nucleon is nearly constant, about 8 MeV/nucleon 8 Energies associated with nuclear processes are about a million times larger than chemical process 9
9
3053-3056
8 Energies associated with nuclear processes are about a million times larger than chemical process 9 The Q-value of a nuclear process is Q = final kinetic energy โ€“ initial kinetic energy
9
3054-3057
Energies associated with nuclear processes are about a million times larger than chemical process 9 The Q-value of a nuclear process is Q = final kinetic energy โ€“ initial kinetic energy Due to conservation of mass-energy, this is also, Q = (sum of initial masses โ€“ sum of final masses)c2 10
9
3055-3058
9 The Q-value of a nuclear process is Q = final kinetic energy โ€“ initial kinetic energy Due to conservation of mass-energy, this is also, Q = (sum of initial masses โ€“ sum of final masses)c2 10 Radioactivity is the phenomenon in which nuclei of a given species transform by giving out a or b or g rays; a-rays are helium nuclei; b-rays are electrons
9
3056-3059
The Q-value of a nuclear process is Q = final kinetic energy โ€“ initial kinetic energy Due to conservation of mass-energy, this is also, Q = (sum of initial masses โ€“ sum of final masses)c2 10 Radioactivity is the phenomenon in which nuclei of a given species transform by giving out a or b or g rays; a-rays are helium nuclei; b-rays are electrons g-rays are electromagnetic radiation of wavelengths shorter than X-rays
9
3057-3060
Due to conservation of mass-energy, this is also, Q = (sum of initial masses โ€“ sum of final masses)c2 10 Radioactivity is the phenomenon in which nuclei of a given species transform by giving out a or b or g rays; a-rays are helium nuclei; b-rays are electrons g-rays are electromagnetic radiation of wavelengths shorter than X-rays 11
9
3058-3061
Radioactivity is the phenomenon in which nuclei of a given species transform by giving out a or b or g rays; a-rays are helium nuclei; b-rays are electrons g-rays are electromagnetic radiation of wavelengths shorter than X-rays 11 Energy is released when less tightly bound nuclei are transmuted into more tightly bound nuclei
9
3059-3062
g-rays are electromagnetic radiation of wavelengths shorter than X-rays 11 Energy is released when less tightly bound nuclei are transmuted into more tightly bound nuclei In fission, a heavy nucleus like 235 92 U breaks into two smaller fragments, e
9
3060-3063
11 Energy is released when less tightly bound nuclei are transmuted into more tightly bound nuclei In fission, a heavy nucleus like 235 92 U breaks into two smaller fragments, e g
9
3061-3064
Energy is released when less tightly bound nuclei are transmuted into more tightly bound nuclei In fission, a heavy nucleus like 235 92 U breaks into two smaller fragments, e g , 235 1 133 99 1 92 0 51 41 0 U+ n Sb Nb + 4 n โ†’ + 12
9
3062-3065
In fission, a heavy nucleus like 235 92 U breaks into two smaller fragments, e g , 235 1 133 99 1 92 0 51 41 0 U+ n Sb Nb + 4 n โ†’ + 12 In fusion, lighter nuclei combine to form a larger nucleus
9
3063-3066
g , 235 1 133 99 1 92 0 51 41 0 U+ n Sb Nb + 4 n โ†’ + 12 In fusion, lighter nuclei combine to form a larger nucleus Fusion of hydrogen nuclei into helium nuclei is the source of energy of all stars including our sun
9
3064-3067
, 235 1 133 99 1 92 0 51 41 0 U+ n Sb Nb + 4 n โ†’ + 12 In fusion, lighter nuclei combine to form a larger nucleus Fusion of hydrogen nuclei into helium nuclei is the source of energy of all stars including our sun Physical Quantity Symbol Dimensions Units Remarks Atomic mass unit [M] u Unit of mass for expressing atomic or nuclear masses
9
3065-3068
In fusion, lighter nuclei combine to form a larger nucleus Fusion of hydrogen nuclei into helium nuclei is the source of energy of all stars including our sun Physical Quantity Symbol Dimensions Units Remarks Atomic mass unit [M] u Unit of mass for expressing atomic or nuclear masses One atomic mass unit equals 1/12th of the mass of 12C atom
9
3066-3069
Fusion of hydrogen nuclei into helium nuclei is the source of energy of all stars including our sun Physical Quantity Symbol Dimensions Units Remarks Atomic mass unit [M] u Unit of mass for expressing atomic or nuclear masses One atomic mass unit equals 1/12th of the mass of 12C atom Disintegration or l [T โ€“1] sโ€“1 decay constant Half-life T1/2 [T] s Time taken for the decay of one-half of the initial number of nuclei present in a radioactive sample
9
3067-3070
Physical Quantity Symbol Dimensions Units Remarks Atomic mass unit [M] u Unit of mass for expressing atomic or nuclear masses One atomic mass unit equals 1/12th of the mass of 12C atom Disintegration or l [T โ€“1] sโ€“1 decay constant Half-life T1/2 [T] s Time taken for the decay of one-half of the initial number of nuclei present in a radioactive sample Mean life t [T] s Time at which number of nuclei has been reduced to eโ€“1 of its initial value Activity of a radio- R [ Tโ€“1] Bq Measure of the activity active sample of a radioactive source
9
3068-3071
One atomic mass unit equals 1/12th of the mass of 12C atom Disintegration or l [T โ€“1] sโ€“1 decay constant Half-life T1/2 [T] s Time taken for the decay of one-half of the initial number of nuclei present in a radioactive sample Mean life t [T] s Time at which number of nuclei has been reduced to eโ€“1 of its initial value Activity of a radio- R [ Tโ€“1] Bq Measure of the activity active sample of a radioactive source Rationalised 2023-24 Physics 320 POINTS TO PONDER 1
9
3069-3072
Disintegration or l [T โ€“1] sโ€“1 decay constant Half-life T1/2 [T] s Time taken for the decay of one-half of the initial number of nuclei present in a radioactive sample Mean life t [T] s Time at which number of nuclei has been reduced to eโ€“1 of its initial value Activity of a radio- R [ Tโ€“1] Bq Measure of the activity active sample of a radioactive source Rationalised 2023-24 Physics 320 POINTS TO PONDER 1 The density of nuclear matter is independent of the size of the nucleus
9
3070-3073
Mean life t [T] s Time at which number of nuclei has been reduced to eโ€“1 of its initial value Activity of a radio- R [ Tโ€“1] Bq Measure of the activity active sample of a radioactive source Rationalised 2023-24 Physics 320 POINTS TO PONDER 1 The density of nuclear matter is independent of the size of the nucleus The mass density of the atom does not follow this rule
9
3071-3074
Rationalised 2023-24 Physics 320 POINTS TO PONDER 1 The density of nuclear matter is independent of the size of the nucleus The mass density of the atom does not follow this rule 2
9
3072-3075
The density of nuclear matter is independent of the size of the nucleus The mass density of the atom does not follow this rule 2 The radius of a nucleus determined by electron scattering is found to be slightly different from that determined by alpha-particle scattering
9
3073-3076
The mass density of the atom does not follow this rule 2 The radius of a nucleus determined by electron scattering is found to be slightly different from that determined by alpha-particle scattering This is because electron scattering senses the charge distribution of the nucleus, whereas alpha and similar particles sense the nuclear matter
9
3074-3077
2 The radius of a nucleus determined by electron scattering is found to be slightly different from that determined by alpha-particle scattering This is because electron scattering senses the charge distribution of the nucleus, whereas alpha and similar particles sense the nuclear matter 3
9
3075-3078
The radius of a nucleus determined by electron scattering is found to be slightly different from that determined by alpha-particle scattering This is because electron scattering senses the charge distribution of the nucleus, whereas alpha and similar particles sense the nuclear matter 3 After Einstein showed the equivalence of mass and energy, E = mc 2, we cannot any longer speak of separate laws of conservation of mass and conservation of energy, but we have to speak of a unified law of conservation of mass and energy
9
3076-3079
This is because electron scattering senses the charge distribution of the nucleus, whereas alpha and similar particles sense the nuclear matter 3 After Einstein showed the equivalence of mass and energy, E = mc 2, we cannot any longer speak of separate laws of conservation of mass and conservation of energy, but we have to speak of a unified law of conservation of mass and energy The most convincing evidence that this principle operates in nature comes from nuclear physics
9
3077-3080
3 After Einstein showed the equivalence of mass and energy, E = mc 2, we cannot any longer speak of separate laws of conservation of mass and conservation of energy, but we have to speak of a unified law of conservation of mass and energy The most convincing evidence that this principle operates in nature comes from nuclear physics It is central to our understanding of nuclear energy and harnessing it as a source of power
9
3078-3081
After Einstein showed the equivalence of mass and energy, E = mc 2, we cannot any longer speak of separate laws of conservation of mass and conservation of energy, but we have to speak of a unified law of conservation of mass and energy The most convincing evidence that this principle operates in nature comes from nuclear physics It is central to our understanding of nuclear energy and harnessing it as a source of power Using the principle, Q of a nuclear process (decay or reaction) can be expressed also in terms of initial and final masses
9
3079-3082
The most convincing evidence that this principle operates in nature comes from nuclear physics It is central to our understanding of nuclear energy and harnessing it as a source of power Using the principle, Q of a nuclear process (decay or reaction) can be expressed also in terms of initial and final masses 4
9
3080-3083
It is central to our understanding of nuclear energy and harnessing it as a source of power Using the principle, Q of a nuclear process (decay or reaction) can be expressed also in terms of initial and final masses 4 The nature of the binding energy (per nucleon) curve shows that exothermic nuclear reactions are possible, when two light nuclei fuse or when a heavy nucleus undergoes fission into nuclei with intermediate mass
9
3081-3084
Using the principle, Q of a nuclear process (decay or reaction) can be expressed also in terms of initial and final masses 4 The nature of the binding energy (per nucleon) curve shows that exothermic nuclear reactions are possible, when two light nuclei fuse or when a heavy nucleus undergoes fission into nuclei with intermediate mass 5
9
3082-3085
4 The nature of the binding energy (per nucleon) curve shows that exothermic nuclear reactions are possible, when two light nuclei fuse or when a heavy nucleus undergoes fission into nuclei with intermediate mass 5 For fusion, the light nuclei must have sufficient initial energy to overcome the coulomb potential barrier
9
3083-3086
The nature of the binding energy (per nucleon) curve shows that exothermic nuclear reactions are possible, when two light nuclei fuse or when a heavy nucleus undergoes fission into nuclei with intermediate mass 5 For fusion, the light nuclei must have sufficient initial energy to overcome the coulomb potential barrier That is why fusion requires very high temperatures
9
3084-3087
5 For fusion, the light nuclei must have sufficient initial energy to overcome the coulomb potential barrier That is why fusion requires very high temperatures 6
9
3085-3088
For fusion, the light nuclei must have sufficient initial energy to overcome the coulomb potential barrier That is why fusion requires very high temperatures 6 Although the binding energy (per nucleon) curve is smooth and slowly varying, it shows peaks at nuclides like 4He, 16O etc
9
3086-3089
That is why fusion requires very high temperatures 6 Although the binding energy (per nucleon) curve is smooth and slowly varying, it shows peaks at nuclides like 4He, 16O etc This is considered as evidence of atom-like shell structure in nuclei
9
3087-3090
6 Although the binding energy (per nucleon) curve is smooth and slowly varying, it shows peaks at nuclides like 4He, 16O etc This is considered as evidence of atom-like shell structure in nuclei 7
9
3088-3091
Although the binding energy (per nucleon) curve is smooth and slowly varying, it shows peaks at nuclides like 4He, 16O etc This is considered as evidence of atom-like shell structure in nuclei 7 Electrons and positron are a particle-antiparticle pair
9
3089-3092
This is considered as evidence of atom-like shell structure in nuclei 7 Electrons and positron are a particle-antiparticle pair They are identical in mass; their charges are equal in magnitude and opposite
9
3090-3093
7 Electrons and positron are a particle-antiparticle pair They are identical in mass; their charges are equal in magnitude and opposite (It is found that when an electron and a positron come together, they annihilate each other giving energy in the form of gamma-ray photons
9
3091-3094
Electrons and positron are a particle-antiparticle pair They are identical in mass; their charges are equal in magnitude and opposite (It is found that when an electron and a positron come together, they annihilate each other giving energy in the form of gamma-ray photons ) 8
9
3092-3095
They are identical in mass; their charges are equal in magnitude and opposite (It is found that when an electron and a positron come together, they annihilate each other giving energy in the form of gamma-ray photons ) 8 Radioactivity is an indication of the instability of nuclei
9
3093-3096
(It is found that when an electron and a positron come together, they annihilate each other giving energy in the form of gamma-ray photons ) 8 Radioactivity is an indication of the instability of nuclei Stability requires the ratio of neutron to proton to be around 1:1 for light nuclei
9
3094-3097
) 8 Radioactivity is an indication of the instability of nuclei Stability requires the ratio of neutron to proton to be around 1:1 for light nuclei This ratio increases to about 3:2 for heavy nuclei
9
3095-3098
Radioactivity is an indication of the instability of nuclei Stability requires the ratio of neutron to proton to be around 1:1 for light nuclei This ratio increases to about 3:2 for heavy nuclei (More neutrons are required to overcome the effect of repulsion among the protons
9
3096-3099
Stability requires the ratio of neutron to proton to be around 1:1 for light nuclei This ratio increases to about 3:2 for heavy nuclei (More neutrons are required to overcome the effect of repulsion among the protons ) Nuclei which are away from the stability ratio, i
9
3097-3100
This ratio increases to about 3:2 for heavy nuclei (More neutrons are required to overcome the effect of repulsion among the protons ) Nuclei which are away from the stability ratio, i e
9
3098-3101
(More neutrons are required to overcome the effect of repulsion among the protons ) Nuclei which are away from the stability ratio, i e , nuclei which have an excess of neutrons or protons are unstable
9
3099-3102
) Nuclei which are away from the stability ratio, i e , nuclei which have an excess of neutrons or protons are unstable In fact, only about 10% of knon isotopes (of all elements), are stable
9
3100-3103
e , nuclei which have an excess of neutrons or protons are unstable In fact, only about 10% of knon isotopes (of all elements), are stable Others have been either artificially produced in the laboratory by bombarding a, p, d, n or other particles on targets of stable nuclear species or identified in astronomical observations of matter in the universe
9
3101-3104
, nuclei which have an excess of neutrons or protons are unstable In fact, only about 10% of knon isotopes (of all elements), are stable Others have been either artificially produced in the laboratory by bombarding a, p, d, n or other particles on targets of stable nuclear species or identified in astronomical observations of matter in the universe Rationalised 2023-24 321 Nuclei EXERCISES You may find the following data useful in solving the exercises: e = 1
9
3102-3105
In fact, only about 10% of knon isotopes (of all elements), are stable Others have been either artificially produced in the laboratory by bombarding a, p, d, n or other particles on targets of stable nuclear species or identified in astronomical observations of matter in the universe Rationalised 2023-24 321 Nuclei EXERCISES You may find the following data useful in solving the exercises: e = 1 6ร—10โ€“19C N = 6
9
3103-3106
Others have been either artificially produced in the laboratory by bombarding a, p, d, n or other particles on targets of stable nuclear species or identified in astronomical observations of matter in the universe Rationalised 2023-24 321 Nuclei EXERCISES You may find the following data useful in solving the exercises: e = 1 6ร—10โ€“19C N = 6 023ร—1023 per mole 1/(4pe0) = 9 ร— 109 N m2/C2 k = 1
9
3104-3107
Rationalised 2023-24 321 Nuclei EXERCISES You may find the following data useful in solving the exercises: e = 1 6ร—10โ€“19C N = 6 023ร—1023 per mole 1/(4pe0) = 9 ร— 109 N m2/C2 k = 1 381ร—10โ€“23J Kโ€“1 1 MeV = 1
9
3105-3108
6ร—10โ€“19C N = 6 023ร—1023 per mole 1/(4pe0) = 9 ร— 109 N m2/C2 k = 1 381ร—10โ€“23J Kโ€“1 1 MeV = 1 6ร—10โ€“13J 1 u = 931
9
3106-3109
023ร—1023 per mole 1/(4pe0) = 9 ร— 109 N m2/C2 k = 1 381ร—10โ€“23J Kโ€“1 1 MeV = 1 6ร—10โ€“13J 1 u = 931 5 MeV/c2 1 year = 3
9
3107-3110
381ร—10โ€“23J Kโ€“1 1 MeV = 1 6ร—10โ€“13J 1 u = 931 5 MeV/c2 1 year = 3 154ร—107 s mH = 1
9
3108-3111
6ร—10โ€“13J 1 u = 931 5 MeV/c2 1 year = 3 154ร—107 s mH = 1 007825 u mn = 1
9
3109-3112
5 MeV/c2 1 year = 3 154ร—107 s mH = 1 007825 u mn = 1 008665 u m( 4 2He ) = 4
9
3110-3113
154ร—107 s mH = 1 007825 u mn = 1 008665 u m( 4 2He ) = 4 002603 u me = 0
9
3111-3114
007825 u mn = 1 008665 u m( 4 2He ) = 4 002603 u me = 0 000548 u 13
9
3112-3115
008665 u m( 4 2He ) = 4 002603 u me = 0 000548 u 13 1 Obtain the binding energy (in MeV) of a nitrogen nucleus ( ) 14 7 N , given m ( ) 14 7 N =14
9
3113-3116
002603 u me = 0 000548 u 13 1 Obtain the binding energy (in MeV) of a nitrogen nucleus ( ) 14 7 N , given m ( ) 14 7 N =14 00307 u 13
9
3114-3117
000548 u 13 1 Obtain the binding energy (in MeV) of a nitrogen nucleus ( ) 14 7 N , given m ( ) 14 7 N =14 00307 u 13 2 Obtain the binding energy of the nuclei 56 26Fe and 209 83 Bi in units of MeV from the following data: m ( 56 26Fe ) = 55
9
3115-3118
1 Obtain the binding energy (in MeV) of a nitrogen nucleus ( ) 14 7 N , given m ( ) 14 7 N =14 00307 u 13 2 Obtain the binding energy of the nuclei 56 26Fe and 209 83 Bi in units of MeV from the following data: m ( 56 26Fe ) = 55 934939 u m ( 209 83 Bi ) = 208
9
3116-3119
00307 u 13 2 Obtain the binding energy of the nuclei 56 26Fe and 209 83 Bi in units of MeV from the following data: m ( 56 26Fe ) = 55 934939 u m ( 209 83 Bi ) = 208 980388 u 13
9
3117-3120
2 Obtain the binding energy of the nuclei 56 26Fe and 209 83 Bi in units of MeV from the following data: m ( 56 26Fe ) = 55 934939 u m ( 209 83 Bi ) = 208 980388 u 13 3 A given coin has a mass of 3
9
3118-3121
934939 u m ( 209 83 Bi ) = 208 980388 u 13 3 A given coin has a mass of 3 0 g
9
3119-3122
980388 u 13 3 A given coin has a mass of 3 0 g Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other
9
3120-3123
3 A given coin has a mass of 3 0 g Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other For simplicity assume that the coin is entirely made of 63 29Cu atoms (of mass 62
9
3121-3124
0 g Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other For simplicity assume that the coin is entirely made of 63 29Cu atoms (of mass 62 92960 u)
9
3122-3125
Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other For simplicity assume that the coin is entirely made of 63 29Cu atoms (of mass 62 92960 u) 13
9
3123-3126
For simplicity assume that the coin is entirely made of 63 29Cu atoms (of mass 62 92960 u) 13 4 Obtain approximately the ratio of the nuclear radii of the gold isotope 197 79 Au and the silver isotope 107 47 Ag
9
3124-3127
92960 u) 13 4 Obtain approximately the ratio of the nuclear radii of the gold isotope 197 79 Au and the silver isotope 107 47 Ag 13
9
3125-3128
13 4 Obtain approximately the ratio of the nuclear radii of the gold isotope 197 79 Au and the silver isotope 107 47 Ag 13 5 The Q value of a nuclear reaction A + b ยฎ C + d is defined by Q = [ mA + mb โ€“ mC โ€“ md]c2 where the masses refer to the respective nuclei
9
3126-3129
4 Obtain approximately the ratio of the nuclear radii of the gold isotope 197 79 Au and the silver isotope 107 47 Ag 13 5 The Q value of a nuclear reaction A + b ยฎ C + d is defined by Q = [ mA + mb โ€“ mC โ€“ md]c2 where the masses refer to the respective nuclei Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic
9
3127-3130
13 5 The Q value of a nuclear reaction A + b ยฎ C + d is defined by Q = [ mA + mb โ€“ mC โ€“ md]c2 where the masses refer to the respective nuclei Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic (i) 1 3 2 2 1 1 1 1 H+ H H+ H โ†’ (ii) 12 12 20 4 6 6 10 2 C+ C Ne+ He โ†’ Atomic masses are given to be m ( 2 m ( 31 H ) = 2
9
3128-3131
5 The Q value of a nuclear reaction A + b ยฎ C + d is defined by Q = [ mA + mb โ€“ mC โ€“ md]c2 where the masses refer to the respective nuclei Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic (i) 1 3 2 2 1 1 1 1 H+ H H+ H โ†’ (ii) 12 12 20 4 6 6 10 2 C+ C Ne+ He โ†’ Atomic masses are given to be m ( 2 m ( 31 H ) = 2 014102 u 1 H) = 3
9
3129-3132
Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic (i) 1 3 2 2 1 1 1 1 H+ H H+ H โ†’ (ii) 12 12 20 4 6 6 10 2 C+ C Ne+ He โ†’ Atomic masses are given to be m ( 2 m ( 31 H ) = 2 014102 u 1 H) = 3 016049 u m ( 12 m ( 206 C ) = 12
9
3130-3133
(i) 1 3 2 2 1 1 1 1 H+ H H+ H โ†’ (ii) 12 12 20 4 6 6 10 2 C+ C Ne+ He โ†’ Atomic masses are given to be m ( 2 m ( 31 H ) = 2 014102 u 1 H) = 3 016049 u m ( 12 m ( 206 C ) = 12 000000 u 10 Ne ) = 19
9
3131-3134
014102 u 1 H) = 3 016049 u m ( 12 m ( 206 C ) = 12 000000 u 10 Ne ) = 19 992439 u 13
9
3132-3135
016049 u m ( 12 m ( 206 C ) = 12 000000 u 10 Ne ) = 19 992439 u 13 6 Suppose, we think of fission of a 56 26Fe nucleus into two equal fragments, 28 13 Al
9
3133-3136
000000 u 10 Ne ) = 19 992439 u 13 6 Suppose, we think of fission of a 56 26Fe nucleus into two equal fragments, 28 13 Al Is the fission energetically possible
9
3134-3137
992439 u 13 6 Suppose, we think of fission of a 56 26Fe nucleus into two equal fragments, 28 13 Al Is the fission energetically possible Argue by working out Q of the process
9
3135-3138
6 Suppose, we think of fission of a 56 26Fe nucleus into two equal fragments, 28 13 Al Is the fission energetically possible Argue by working out Q of the process Given m ( 56 26Fe ) = 55
9
3136-3139
Is the fission energetically possible Argue by working out Q of the process Given m ( 56 26Fe ) = 55 93494 u and m ( 28 13 Al ) = 27
9
3137-3140
Argue by working out Q of the process Given m ( 56 26Fe ) = 55 93494 u and m ( 28 13 Al ) = 27 98191 u
9
3138-3141
Given m ( 56 26Fe ) = 55 93494 u and m ( 28 13 Al ) = 27 98191 u Rationalised 2023-24 Physics 322 13