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Nuclear Physics, Numerical Problems

This page consists of solved numerical problems included in the Physics Course for grade 12.

S.NoDescription of problem
Problem 1Find the mass defect and binding energy of helium nucleus, 2He4.
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Problem 2A certain radioactive isotope has half-life of 8 hours. A solution containing 500 million atoms of this isotope is prepared. How many atoms of this isotope have not disintegrated (a) 8 hours (b) 24 hours?
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Problem 3

Write the nuclear equations for beta decay of the following;

(a)>82Pb210 (b) 83Bi210 (c)90Th210 (d)93Np239
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Problem 4Calculate the total energy released if 1 kg of U235 undergoes fission. Taking the disintegration energy per event to be Q = 208 MeV.
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Problem 5Find the energy released in the following fission reaction;
0n1 + 92U235 —–> 36Kr92 + 56Ba141 + 30n1 + Q
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Problem 6

Find the energy released in the fusion reaction;
1H2 + 1H3 ———-→ 2He4 + 0n1

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Problem 7

Complete the following nuclear reactions.
(1) 7N14 + 2He4 —–→ 1H1 +?
(2) 5B11 + 1H1 —–→ 6C11 +?
(3) 3Li6 +? —–→ 4Be7 + 0n1

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Problem 8

3Li6 is bombarded by deuteron. The reaction gives two α particles along with the release of energy equal to 22.3 MeV. Knowing masses of deuteron and α particles, determine mass of lithium isotope of 3Li6.

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Problem 9

Find the energy released in when β-decay changes 90Th 234 into 91Pa234. Mass of 90Th 234 = 234.0436 u and 91Pa234 = 234.042762 u.

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Problem 10

Find out the K.E to which a proton must be accelerated to induce the following nuclear reaction. Li7 (p, n) Be7.

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