Chapter 21

A Complete Resource Book in Chemistry for JEE Main · 121 exercises

Problem 1

What is A in the following reaction? \({ }_{12} \mathrm{Mg}^{26}+{ }_{1} \mathrm{H}^{2} \longrightarrow{ }_{12} \mathrm{Mg}^{27}+\mathrm{A}\) (a) \({ }_{1} \mathrm{H}^{1}\) (b) \({ }_{0} \mathrm{n}^{1}\) (c) \(\mathrm{D}^{2}\) (d) \(\gamma\) rays

5 step solution

Problem 2

Which of the following is easily stopped by air? (a) uv rays (b) X-rays (c) \(\alpha\) rays (d) \(\gamma\) rays

3 step solution

Problem 3

\({ }_{90}^{232} \mathrm{Th} \longrightarrow{ }_{82}^{208} \mathrm{~Pb}\) The number of \(\alpha\) and \(\beta\) particle emitted during the above reaction is (a) \(8 \alpha\) and \(4 \beta\) (b) \(8 \alpha\) and \(16 \beta\) (c) \(4 \alpha\) and \(2 \beta\) (d) \(6 \alpha\) and \(4 \beta\)

4 step solution

Problem 4

Which one of the following statement is correct? (a) the end nuclide formed in thorium (4n) series is \({ }_{83} \mathrm{Bi}^{-200}\). (b) \(_{7} \mathrm{~N}^{15}\) and \({ }_{\mathrm{s}} \mathrm{O}^{16}\) are isobars (c) \({ }_{20} \mathrm{Ca}^{40}\) has magic number of protons and magic number of neutrons (d) The radius (R) of a nuclide of mass number \(\mathrm{A}\) is given by the equation \(\mathrm{R}=\mathrm{R}_{0}(\mathrm{~A})^{1 / 2}\left(\mathrm{R}_{0}=\right.\) constant \()\)

4 step solution

Problem 5

Which one of the following radioisotopes is used in the treatment of blood cancer? (a) \(\mathrm{Co}^{62}\) (b) \(\mathrm{P}^{32}\) (c) \(\mathrm{Na}^{24}\) (d) \(I^{131}\)

3 step solution

Problem 7

Unstable substances exhibit higher radioactivity due to (a) high \(\mathrm{p} / \mathrm{n}\) ratio (b) low \(\mathrm{p} / \mathrm{n}\) ratio (c) \(\mathrm{p} / \mathrm{n}=1\) (d) both (a) and (b)

4 step solution

Problem 8

Atom bomb is based on the principle of (a) nuclear fusion (b) nuclear fission (c) nuclear transformation (d) carbon dating

3 step solution

Problem 10

The moderator used in nuclear reactors is (a) TEL (b) \(\mathrm{D}_{2} \mathrm{O}\) (c) \(\mathrm{H}_{2} \mathrm{O}_{2}\) (d) \(\mathrm{R}-\mathrm{O}-\mathrm{R}\)

3 step solution

Problem 11

The element used for carrying out the nuclear reaction is (a) Thorium- 232 (b) Uranium-238 (c) Plutonium-239 (d) Neptunium- 293

4 step solution

Problem 13

If the mass defect of a nuclide is \(3.32 \times 10^{-26} \mathrm{~g}\), its binding energy is ..... MeV (a) \(27.93\) (b) \(9.31\) (c) \(37.24\) (d) \(18.62\)

1 step solution

Problem 15

Fusion bomb involves (a) explosion of TNT (b) combustion of oxygen (c) destruction of heavy nucleus into smaller nuclei (d) combination of lighter nuclei into bigger nucleus

4 step solution

Problem 17

If the mass defect of \(\mathrm{X}^{9}\) is \(0.090 \mathrm{amu}\), then the binding energy per nucleon is (1 amu = \(921.5 \mathrm{MeV}\) ) (a) \(83.0 \mathrm{MeV}\) (b) \(9.315 \mathrm{MeV}\) (c) \(8.38 \mathrm{MeV}\) (d) \(931.5 \mathrm{MeV}\)

3 step solution

Problem 18

\({ }_{27} \mathrm{Co}^{60}\) is radioactive because (a) it has high \(\mathrm{n} / \mathrm{p}\) ratio (b) it has high \(\mathrm{p} / \mathrm{n}\) ratio (c) its atomic number is high (d) none of these

5 step solution

Problem 19

A heavy element has atomic number \(\mathrm{X}\) and mass number Y. Correct relation between \(\mathrm{X}\) and \(\mathrm{Y}\) is (a) \(\mathrm{X}=\mathrm{Y}\) (b) \(\mathrm{X}>\mathrm{Y}\) (c) \(\mathrm{X}<\mathrm{Y}\) (d) \(\mathrm{X}=Z(1-\mathrm{Y})\)

3 step solution

Problem 20

Decay of \(_{92} \mathrm{U}^{235}\) is \(\ldots \ldots\) order reaction (a) first (b) second (c) third (d) zero

4 step solution

Problem 21

Order of radioactive disintegration reaction is (a) third (b) second (c) first (d) zero

3 step solution

Problem 22

In which radiation, mass number and atomic number will not change? (a) \(\alpha\) (b) \(\beta\) (c) \(\alpha\) and \(2 \beta\) (d) \(\gamma\)

3 step solution

Problem 24

The half lives of two radioactive nuclides \(\mathrm{A}\) and \(\mathrm{B}\) are 1 and 2 min respectively. Equal weights of \(A\) and \(B\) are taken separately and allowed to disintegrate for \(4 \mathrm{~min}\). What will be the ratio of weights of \(\mathrm{A}\) and \(\mathrm{B}\) disintegrated? (a) \(1: 2\) (b) \(1: 1\) (c) \(1: 3\) (d) \(5: 4\)

6 step solution

Problem 25

In the nuclear fusion \({ }_{1} \mathrm{H}^{2}+{ }_{1} \mathrm{H}^{2} \longrightarrow{ }_{2} \mathrm{He}^{4}\), the masses of \({ }_{1} \mathrm{H}^{2}\) and \({ }_{2} \mathrm{H}^{4}\) are \(2.014 \mathrm{~m}_{\mathrm{a}}\) and \(4.003 \mathrm{~m}_{\mathrm{u}}\) respectively. The energy released per atom of helium formed is ........ MeV (a) \(4.31\) (b) \(13.26\) (c) \(16.76\) (d) \(23.275\)

6 step solution

Problem 26

In successive emission of \(\beta\) and \(\alpha\) particles, how many \(\alpha\) and \(\beta\) particles should be emitted for the natural \(\left(4 n+1\right.\) series) conversion of \({ }_{94} \mathrm{Pu}^{241}\) to \({ }_{92} \mathrm{U}^{233}\) ? (a) \(2 \alpha, \beta\) (b) \(2 \alpha, 2 \beta\) (c) \(2 \alpha, 3 \beta\) (d) \(\alpha, 2 \beta\)

6 step solution

Problem 27

What will be the binding energy of \(\mathrm{O}^{16}\), if the mass defect is \(0.210\) amu? (a) \(1.89 \times 10^{10} \mathrm{~J} \mathrm{~mol}^{-1}\) (b) \(1.89 \times 10^{12} \mathrm{~J} \mathrm{~mol}^{-1}\) (c) \(1.89 \times 10^{13} \mathrm{~J} \mathrm{~mol}^{-1}\) (d) \(1.89 \times 10^{14} \mathrm{~J} \mathrm{~mol}^{-1}\)

6 step solution

Problem 28

The compound used for the preparation of \(U F_{6}\) in the enrichment of \({ }_{92} \mathrm{U}^{235}\) is (a) HF (b) \(\mathrm{CaF}_{2}\) (c) \(\mathrm{ClF}_{3}\) (d) \(\mathrm{AlF}_{3}\)

4 step solution

Problem 29

When \({ }_{13} \mathrm{Al}^{27}\) is bombarded with \(\alpha\) particle, a radioactive isotope of phosphorus \({ }_{1 s} \mathrm{P}^{30}\) is formed. Which particle is emitted along with \({ }_{15} \mathrm{P}^{30}\) ? (a) deuteron (b) proton (c) electron (d) neutron

4 step solution

Problem 30

\({ }_{1} \mathrm{H}^{1}+{ }_{1} \mathrm{H}^{3} \longrightarrow{ }_{2} \mathrm{He}^{4}\) this represent (a) \(\beta\) decay (b) fusion (c) fission (d) none of these

4 step solution

Problem 31

The age of most ancient geological formations is estimated by (a) potassium-argon method (b) carbon- 14 dating method (c) radium-silicon method (d) uranium-lead method

3 step solution

Problem 32

In a radioactive decay, an emitted electron comes from (a) the nucleus of atom (b) the orbit with principal quantum number 1 (c) the inner orbital of the atom (d) the outermost orbit of the atom

3 step solution

Problem 33

The projectile used to bombard, \(\mathrm{N}^{14}\) to get \({ }_{8} \mathrm{O}^{17}\) and a proton is (a) \({ }_{2} \mathrm{He}^{4}\) (b) \({ }_{0} \mathrm{n}^{1}\) (c) \({ }_{1} \mathrm{H}^{1}\) (d) \({ }_{1} \mathrm{H}^{2}\)

5 step solution

Problem 34

The half-life of a radioactive isotope is \(1.5\) hours. The mass of it that remains undecayed after 6 hours is (the initial mass of the isotope is \(64 \mathrm{~g}\) ) (a) \(32 \mathrm{~g}\) (b) \(16 \mathrm{~g}\) (c) \(8 \mathrm{~g}\) (d) \(4 \mathrm{~g}\)

4 step solution

Problem 36

The binding energy of an element is \(64 \mathrm{MeV}\). If BE per nucleon is \(6.4\), the number of nucleons are (a) 10 (b) 64 (c) 16 (d) 6

4 step solution

Problem 37

The reaction \({ }_{5} \mathrm{~B}^{3} \longrightarrow{ }_{4} \mathrm{Be}^{8}+{ }_{1} \mathrm{e}^{0}\) takes place due to (a) \(\alpha\) decay (b) \(\beta\) decay (c) positron decay (d) electron capture

3 step solution

Problem 38

The common moderator of a nuclear reactor (a) \(\mathrm{D}_{2} \mathrm{O}\) (b) graphite (c) beryllium (d) all are correct

5 step solution

Problem 39

The half-life of a radioactive nuclide is 10 months. The fraction of the substance left behind after 40 months is (a) \(1 / 2\) (b) \(1 / 4\) (c) \(1 / 8\) (d) \(1 / 16\)

4 step solution

Problem 40

Carbon- 14 dating method is based on the fact that (a) C-14 fraction is same in all objects (b) C-14 is highly insoluble (c) ratio of carbon- 14 and carbon-12 is constant (d) all the above

6 step solution

Problem 41

When a radioactive element emits successively one \(\alpha\). particle and two \(\beta\) particles, the mass number of the daughter element (a) is reduced by 4 units (b) remains the same (c) is reduced by 2 units (d) is increased by 2 units

5 step solution

Problem 42

A nuclide of an alkaline earth metal undergoes radioactive decay by emission of the \(\alpha\) particle in succession. The group of the periodic table to which the resulting daughter element would belong is (a) Gp 14 (b) Gp 6 (c) Gp 16 (d) Gp 4

4 step solution

Problem 43

The number of \(\alpha\) and \(\beta\) particle emitted in the nuclear reaction \({ }^{228} \mathrm{Th}_{90} \longrightarrow{ }^{212} \mathrm{Bi}_{\mathrm{g} 3}\) are (a) \(4 \alpha\) and \(1 \beta\) (b) \(3 \alpha\) and \(7 \beta\) (c) \(8 \alpha\) and \(1 \beta\) (d) \(4 \alpha\) and \(7 \beta\)

4 step solution

Problem 44

The compound used in enrichment of the uranium in nuclear power plant is (a) UF \(_{6}\) (b) \(\mathrm{U}_{3} \mathrm{O}_{8}\) (c) \(\mathrm{UCl}_{4}\) (d) \(\mathrm{UO}_{2}\left(\mathrm{NO}_{3}\right)_{2}\)

3 step solution

Problem 45

\({ }_{92} \mathrm{U}^{238}\) is radioactive and it emits \(\alpha\) and \(\beta\) particles to form \({ }_{82} \mathrm{~Pb}^{206} .\) The number of \(\alpha\) and \(\beta\) particles are respectively (a) 8,6 (b) 6,8 (c) 4,2 (d) 8,4

4 step solution

Problem 46

An element X loses one \(\alpha\) and two two \(\beta\) particles in three successive stages. The resulting elements will be (a) an isotope of \(\mathrm{X}\) (b) an isobar of \(X\) (c) an isotone of \(X\) (d) X itself

5 step solution

Problem 47

\({ }_{7} \mathrm{~N}^{13}\) changes to \({ }_{6} \mathrm{C}^{13}\) by emission of (a) electron (b) neutron (c) positron (d) proton

4 step solution

Problem 48

If uranium (mass number 238 and atomic number 92 ) emits an \(\alpha\) particle, the product has mass number and atomic number (a) 234 and 90 (b) 236 and 92 (c) 238 and 90 (d) 236 and 90

4 step solution

Problem 49

Which of the following notations shows the product incorrectly? (a) \({ }_{5} \mathrm{~B}^{10}(\alpha, \mathrm{n})_{7} \mathrm{~N}^{13}\) (b) \({ }_{96} \mathrm{Cm}^{242}(\alpha, 2 \mathrm{n}){ }_{97} \mathrm{BK}^{243}\) (c) \({ }_{7} \mathrm{~N}^{14}(\mathrm{n}, \mathrm{p})_{6} \mathrm{C}^{14}\) (d) none of these

5 step solution

Problem 50

Loss of a \(\beta\) particle is equivalent to (a) increase of one proton only (b) decrease of one neutron only (c) both (a) and (b) (d) none of these

4 step solution

Problem 51

Which of the following is a fusion reaction? (a) \({ }_{98} \mathrm{U}^{255}+{ }_{0} \mathrm{n}^{1} \longrightarrow{ }_{36} \mathrm{Ba}^{141}+{ }_{36} \mathrm{Kr}^{92}+3_{0} \mathrm{n}^{1}\) (b) \({ }_{92} \mathrm{Fe}^{259}+{ }_{0} \mathrm{n}^{1} \longrightarrow{ }_{92} \mathrm{U}^{239}+\mathrm{Y}\) (c) \({ }_{26} \mathrm{Fe}^{55}+{ }_{-1} \mathrm{e}^{0} \longrightarrow{ }_{25} \mathrm{Mn}^{55}\) (d) \({ }_{1} \mathrm{H}^{1}+{ }_{1} \mathrm{H}^{1}+2 \underset{0}{\mathrm{n}}^{1} \longrightarrow \mathrm{He}^{4}+\) energy

3 step solution

Problem 53

The binding energy of an element is \(64 \mathrm{meV}\). If \(\mathrm{BE} /\) Nucleon is \(6.4\), the number of nucleons are (a) 10 (b) 64 (c) 16 (d) \(6.4\)

4 step solution

Problem 55

Nuclear reactors are usually surrounded by lead and concrete. Which of the following is this safety precaution particularly for? (a) neutron (b) \(\alpha\) particle (c) \(\beta\) particle (d) \(\gamma\) rays

4 step solution

Problem 56

Two radioactive elements A and B have decay constant \(\lambda\) and \(10 \lambda\) respectively. If the decay begins with the same number of atoms of the \(\mathrm{n}\), the ratio of atoms of \(\mathrm{A}\) to those of B after time \(1 / 9 \lambda\) will be (a) \(\mathrm{e}^{-3}\) (b) \(\mathrm{e}^{2}\) (c) \(\mathrm{e}\) (d) \(\mathrm{e}^{-1}\)

4 step solution

Problem 58

During a \(\mathrm{K}\)-electron capture (a) X-rays are emitted (b) neutrous are emitted (c) \(\alpha\) particles are emitted (d) \(\gamma\) rays are emitted

4 step solution

Problem 60

\({ }_{7} \mathrm{~N}^{13}\) changes to \({ }_{6} \mathrm{C}^{13}\) by the emission of (a) proton (b) electron (c) neutron (d) positron

4 step solution

Problem 61

The half-life of a radioactive isotope is 3 hours. If the initial mass of the isotope was \(300 \mathrm{~g}\), the mass which remained undecayed in 18 hours would be (a) \(4.68 \mathrm{~g}\) (b) \(2.34 \mathrm{~g}\) (c) \(1.17 \mathrm{~g}\) (d) \(9.36 \mathrm{~g}\)

4 step solution

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