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Questions Available: 12
Year: 2021
Topic: Nuclei
1.
The half-life of a radioactive nuclide is 100 h. The fraction of original activity that will remain after 150 h would be
(1).
\(\displaystyle \frac{1}{2}\)
(2).
\(\displaystyle \frac{1}{2 \sqrt{2}}\)
(3).
\(\displaystyle \frac{2}{3}\)
(4).
\(\displaystyle \frac{2}{3 \sqrt{2}}\)

Year: 2024
Topic: Nuclei
2.

In the nuclear emission stated above, the mass number and atomic number of the product Q respectively, are:
(1).
288, 82
(2).
286,81
(3).
280, 81
(4).
286, 80

Year: 2023
Topic: Nuclei
3.
The half life of a radioactive substance is 20 minutes. In how much time, the activity of substance drops to \(\displaystyle \left(\frac{1}{16}\right)^{th}\) of its initial value?
(1).
40 minutes
(2).
60 minutes
(3).
80 minutes
(4).
20 minutes

Year: 2022
Topic: Nuclei
4.
In the given nuclear reaction, the element X is :
\(\displaystyle ^{23} _{11} \,Na \rightarrow\,X+e^+ + v\)
(1).
\(\displaystyle ^{23} _{11} \,Na \)
(2).
\(\displaystyle ^{23} _{10} \,Ne \)
(3).
\(\displaystyle ^{22} _{10} \,Ne \)
(4).
\(\displaystyle ^{22} _{12} \,Mg \)

Year: 2022
Topic: Nuclei
5.
A nucleus of mass number of 189 splits into two nuclei having mass number 125 and 64. The ratio of radius of two daughter nuclei respectively is :
(1).
1:01
(2).
4:05
(3).
5:04
(4).
25:16:00

Year: 2021
Topic: Nuclei
6.
A radioactive nucleus \({}^{A}_{z}X\) undergoes spontaneous decay in the sequence
\({}^{A}_{z}X \, \rightarrow \, {}_{z-1}B \, \rightarrow \, {}_{z-3}C \, \rightarrow \, {}_{z-2}D\) where Z is the atomic number of element X. The possible decay particles in the sequence are
(1).
\(\alpha,\, \beta^-,\, \beta^+\)
(2).
\(\alpha,\, \beta^+,\, \beta^-\)
(3).
\(\beta^+,\, \alpha,\, \beta^-\)
(4).
\(\beta^-,\, \alpha,\, \beta^+\)

Year: 2021
Topic: Nuclei
7.
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 is 8.5 MeV. The total gain in the binding energy in the process is
(1).
0.9 MeV
(2).
9.4 MeV
(3).
804 MeV
(4).
216 MeV

Year: 2020
Topic: Nuclei
8.
The energy equivalent of 0.5 g of a substance is
(1).
4.5 × 1013 J
(2).
1.5 × 1013 J
(3).
0.5 × 1013 J
(4).
4.5 × 1016 J

Year: 2020
Topic: Nuclei
9.
When a uraniumisotope \(\displaystyle {}^{235}_92U\) is bombarded with a neutron, itgenerates \(\displaystyle {}^{89}_{36}Kr\), three neutrons and
(1).
\(\displaystyle {}^{91}_{40}Zr\)
(2).
\(\displaystyle {}^{101}_{36}Kr\)
(3).
\(\displaystyle {}^{103}_{36}Kr\)
(4).
\(\displaystyle {}^{144}_{56}Ba\)

Year: 2019
Topic: Nuclei
10.
\(\alpha\)-particle consists of
(1).
2 electrons, 2 protons and 2 neutrons
(2).
2 electrons and 4 protons only
(3).
2 protons only
(4).
2 protons and 2 neutrons only

Year: 2018
Topic: Nuclei
11.
For a radioactive material, 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
(1).
30
(2).
10
(3).
20
(4).
15

Year: 2017
Topic: Nuclei
12.
Radioactive material A has decay constant \(8 \lambda\) and material B has decay constant \(\lambda\). Initially, they have same number of nuclei. After what time, the ratio of number of nuclei of material B to that A will be \(\frac{1}{e}\) ?
(1).
\(\displaystyle \frac{1}{\lambda}\)
(2).
\(\displaystyle \frac{1}{7 \lambda}\)
(3).
\(\displaystyle \frac{1}{8\lambda}\)
(4).
\(\displaystyle \frac{1}{9\lambda}\)