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For an atomic nucleus with atomic number Z and mass number A, which of the following is (are) correct ?
  • a)
    Nuclear matter and nuclear charge are distributed identically in the nuclear volume.
  • b)
    Nuclei with Z > 83 and A > 209 emit α- radiation.
  • c)
    The surface contribution to the binding energy is proportional to A2/3.
  • d)
    β- decay occurs when the proton to neutron ratio is large, but not when it is small.
Correct answer is option 'B,C'. Can you explain this answer?
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For an atomic nucleus with atomic number Z and mass number A, which of...
Nuclear Distribution:
The statement "Nuclear matter and nuclear charge are distributed identically in the nuclear volume" is incorrect. In an atomic nucleus, the nuclear matter, which consists of protons and neutrons, is distributed unevenly. The protons, which carry positive charge, are concentrated at the center of the nucleus, while the neutrons, which are electrically neutral, are distributed throughout the nucleus. This uneven distribution is due to the electromagnetic repulsion between the positively charged protons.

Emission of α-Radiation:
The statement "Nuclei with Z > 83 and A > 209 emit α-radiation" is correct. α-radiation refers to the emission of alpha particles, which are helium nuclei consisting of two protons and two neutrons. Nuclei with atomic numbers greater than 83 (bismuth) and mass numbers greater than 209 are generally unstable and tend to undergo radioactive decay. One common mode of decay for such nuclei is the emission of α-particles.

Surface Contribution to Binding Energy:
The statement "The surface contribution to the binding energy is proportional to A^(2/3)" is correct. The binding energy of a nucleus is the energy required to separate all its nucleons (protons and neutrons) from each other. The binding energy can be divided into two components: the volume contribution and the surface contribution. The volume contribution is proportional to the number of nucleons, while the surface contribution is proportional to the surface area of the nucleus, which scales with A^(2/3). Therefore, the surface contribution increases with increasing mass number A.

Decay Due to Proton-to-Neutron Ratio:
The statement "-decay occurs when the proton to neutron ratio is large, but not when it is small" is incorrect. β-decay, not α-decay, occurs when the proton to neutron ratio is large. In β-decay, a neutron is converted into a proton, resulting in an increase in the atomic number Z. This process occurs in nuclei with an excess of neutrons relative to protons. On the other hand, α-decay occurs when the nucleus is too heavy and the strong nuclear force is not strong enough to hold it together. In α-decay, an α-particle is emitted, reducing both the atomic number Z and the mass number A of the nucleus.

Therefore, the correct options are B and C.
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Community Answer
For an atomic nucleus with atomic number Z and mass number A, which of...
C) R=Ro A^1/3
R^2 is directly proportional to A^2/3
which implies area  is directly proportional to  A^2/3
d) there are 2 types of beta decay 
positive(proton to neutron [when proton/ neutron is more than 1])  and negative ( neutron to proton [when neutron/proton is larger than 1])
so b and c is correct
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For an atomic nucleus with atomic number Z and mass number A, which of the following is (are) correct ?a)Nuclear matter and nuclear charge are distributed identically in the nuclear volume.b)Nuclei with Z > 83 and A > 209 emit α- radiation.c)The surface contribution to the binding energy is proportional to A2/3.d)β- decay occurs when the proton to neutron ratio is large, but not when it is small.Correct answer is option 'B,C'. Can you explain this answer?
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For an atomic nucleus with atomic number Z and mass number A, which of the following is (are) correct ?a)Nuclear matter and nuclear charge are distributed identically in the nuclear volume.b)Nuclei with Z > 83 and A > 209 emit α- radiation.c)The surface contribution to the binding energy is proportional to A2/3.d)β- decay occurs when the proton to neutron ratio is large, but not when it is small.Correct answer is option 'B,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about For an atomic nucleus with atomic number Z and mass number A, which of the following is (are) correct ?a)Nuclear matter and nuclear charge are distributed identically in the nuclear volume.b)Nuclei with Z > 83 and A > 209 emit α- radiation.c)The surface contribution to the binding energy is proportional to A2/3.d)β- decay occurs when the proton to neutron ratio is large, but not when it is small.Correct answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For an atomic nucleus with atomic number Z and mass number A, which of the following is (are) correct ?a)Nuclear matter and nuclear charge are distributed identically in the nuclear volume.b)Nuclei with Z > 83 and A > 209 emit α- radiation.c)The surface contribution to the binding energy is proportional to A2/3.d)β- decay occurs when the proton to neutron ratio is large, but not when it is small.Correct answer is option 'B,C'. Can you explain this answer?.
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