Nuclear Structure
ICSE · Class 12 · Physics
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Quick Quiz: Nuclear Structure
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A nucleus has mass number 56. Using the relation R = R0 A^{1/3} with R0 = 1.2 x 10^-15 m, what is its radius?
The nuclear radius of one nucleus is compared with another nucleus having mass numbers 197 and 107. What is the approximate ratio of their radii?
A nucleus contains 3 protons and 4 neutrons. Taking proton mass as 1.6725 x 10^-27 kg and neutron mass as 1.6748 x 10^-27 kg, what is the total mass of its nucleons?
Two isotopes of lithium have masses 6.01512 u and 7.01600 u with abundances 7.5% and 92.5%. What is the average atomic mass of lithium?
Sample Questions
Boron has isotopes of masses 10.01294 u and 11.00931 u. If the average atomic mass is 10.811 u, what is the abundance of the lighter isotope?
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19.9%
Let the lighter isotope abundance be P1 and the other be P2 = 100 - P1. Using average atomic mass, 10.811 = (P1 x 10.01294 + (100 - P1) x 11.00931)/100. Solving gives P1 ≈ 19.9%.
Neon has isotopes of masses 19.99 u, 20.99 u and 21.99 u with abundances 90.51%, 0.27% and 9.22%. What is the average atomic mass of neon?
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20.18 u
Average atomic mass = (90.51 x 19.99 + 0.27 x 20.99 + 9.22 x 21.99)/100. This gives 20.18 u.
A neutron is emitted from a reaction where beryllium-9 strikes an alpha particle and produces carbon-10 and one more particle. Which particle is emitted and what is the reaction?
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A neutron is emitted, The reaction is 9Be + 4He -> 10C + neutron + Q
The neutron discovery reaction is 9Be + 4He -> 10C + neutron + Q. It directly shows that a neutron is the emitted particle.
In the nuclear reaction 14N + 4He -> 17O + ?, which particle is emitted?
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1H
Balance mass number: 14 + 4 = 18, so the unknown particle must have mass number 1 because 17 + 1 = 18. Balance atomic number: 7 + 2 = 9, so the unknown particle must have atomic number 1. That is a proton, 1H.
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