Chapter 21
A Complete Resource Book in Chemistry for JEE Main · 114 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) \({ }_{1} \mathrm{D}^{2}\) (d) \(\gamma\) rays
4 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 \(4 \beta\)
7 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 \({ }_{8} \mathrm{O}^{16}\) 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) \(I^{131}\)
6 step solution
Problem 7
Unstable substances exhibit higher radioactivity due to (a) high \(\mathrm{p} / \mathrm{n}\) ratio (b) low p/n ratio (c) \(\mathrm{p} / \mathrm{n}=1\) (d) both (a) and (b)
5 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) \(\mathrm{R}-\mathrm{O}-\mathrm{R}\)
4 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 12
The atomic number (A) and mass number (M) of the nuclide formed when three \(\alpha\) and \(2 \beta\) particles are emitted from \({ }_{92} \mathrm{U}^{238}\), is (a) \(\mathrm{A}=88, \mathrm{M}=235\) (b) \(\mathrm{A}=88, \mathrm{M}=226\) (c) \(\mathrm{A}=87, \mathrm{M}=233\) (d) \(A=86, M=226\)
5 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) \(18.62\)
5 step solution
Problem 14
Cadmium rods are used for which purpose? (a) to emit electrons (b) to adsorb neutrons (c) to emit neutrons (d) to absorb electrons
3 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
3 step solution
Problem 16
The element used for dating the ancient remains is (a) \(\mathrm{C}-14\) (b) \(\mathrm{Rd}\) (c) \(\mathrm{C}-12\) (d) \(\mathrm{Ni}\)
3 step solution
Problem 17
If the mass defect of \({ }_{4} \mathrm{X}^{9}\) is \(0.090 \mathrm{amu}\), then the binding energy per nucleon is \((1 \mathrm{amu}=921.5 \mathrm{MeV})\) (a) \(83.0 \mathrm{MeV}\) (b) \(9.315 \mathrm{MeV}\) (c) \(8.38 \mathrm{MeV}\) (d) \(931.5 \mathrm{MeV}\)
5 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
4 step solution
Problem 22
In which radiation, mass number and atomic number will not change? (a) \(\underline{\alpha}\) (b) \(\beta\) (c) \(\alpha\) and \(2 \beta\) (d) \(\gamma\)
4 step solution
Problem 23
If radium and chlorine combine to form radium chloride the compound is (a) half as radioactive as radium (b) twice as radioactive as radium (c) as radioactive as radius (d) thrice as radioactive as radium
4 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 \(\mathrm{A}\) and \(\mathrm{B}\) 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) \(5: 4\)
7 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 \(_{94} P u^{241}\) to \({ }_{92} U^{233} ?\) (a) \(2 \alpha, \beta\) (b) \(2 \alpha, 2 \beta\) (c) \(2 \alpha, 3 \beta\) (d) \(\alpha, 2 \beta\)
5 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) \(1.89 \times 10^{14} \mathrm{~J} \mathrm{~mol}^{-1}\)
5 step solution
Problem 28
The compound used for the preparation of \(U F_{6}\) in the enrichment of \({ }_{92} \mathrm{U}^{235}\) is (a) \(\mathrm{HF}\) (b) \(\mathrm{CaF}_{2}\) (c) \(\mathrm{ClF}_{3}\) (d) \(\mathrm{AlF}_{3}\)
4 step solution
Problem 30
\({ }_{1} \mathrm{H}^{\prime}+{ }_{1} \mathrm{H}^{3} \longrightarrow{ }_{2} \mathrm{He}^{4}\) 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
4 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) \(_{0} n^{1}\) (c) \({ }_{1} \mathrm{H}^{1}\) (d) \({ }_{1} \mathrm{H}^{2}\)
7 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 35
Penetrating power of \(\alpha\) particles is (a) more than \(\gamma\) rays (b) more than \(\beta\) rays (c) less than \(\beta\) rays (d) none
4 step solution
Problem 36
The binding energy of an element is \(64 \mathrm{MeV}\). If \(\mathrm{BE}\) pe nucleon is \(6.4\), the number of nucleons are (a) 10 (b) 64 (c) 16 (d) 6
5 step solution
Problem 37
The reaction \({ }_{5} \mathrm{~B}^{s} \longrightarrow{ }_{4} \mathrm{Be}^{8}+{ }_{1} \mathrm{e}^{0}\) takes place due to (a) \(\alpha\) decay (b) \(\beta\) decay (c) positron decay (d) electron capture
4 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
4 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
4 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 \({ }^{228} \mathrm{Th}_{90} \longrightarrow{ }^{212} \mathrm{Bi}_{83}\) 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) \(\mathrm{UO}_{2}\left(\mathrm{NO}_{3}\right)_{2}\)
4 step solution
Problem 45
\({ }_{2} \mathrm{U}^{233}\) is radioactive and it emits \(\alpha\) and \(\beta\) particles to form \({ }_{2} \mathrm{~Pb}^{206}\). The number of \(\alpha\) and \(\beta\) particles are respectively (a) 8,6 (b) 6,8 (c) 4,2 (d) 8,4
6 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) \({ }_{\text {os }} \mathrm{U}^{235}+{ }_{0} \mathrm{n}^{1} \longrightarrow{ }_{56} \mathrm{Ba}^{141}+{ }_{36} \mathrm{Kr}^{92}+3_{0} \mathrm{n}^{1}\) (b) \({ }_{92} \mathrm{Fe}^{219}+{ }_{0} \mathrm{n}^{1} \longrightarrow{ }_{92} \mathrm{U}^{239}+\mathrm{Y}\) (c) \({ }_{26} \mathrm{Fe}^{55}+{ }_{-1} \mathrm{e}^{0} \longrightarrow{ }_{25} \mathrm{Mn}^{55}\) (d) \({ }_{1} \mathrm{H}^{1}+{ }_{1} \mathrm{H}^{1}+2 \underset{0} \mathrm{n}^{1} \longrightarrow{ }_{2} \mathrm{He}^{4}+\) energy
5 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
3 step solution
Problem 56
Two radioactive elements \(\mathrm{A}\) and \(\mathrm{B}\) 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 \(\mathrm{B}\) after time \(1 / 9 \lambda\) will be (a) \(\mathrm{e}^{-3}\) (b) \(\mathrm{e}^{2}\) (c) \(\mathrm{e}\) (d) \(\mathrm{e}^{-1}\)
6 step solution
Problem 57
The ionization power of \(\alpha, \beta\) and \(\gamma\) radiations is in the order (a) \(\beta<\alpha<\gamma\) (b) \(\alpha<\beta<\gamma\) (c) \(\gamma<\beta<\alpha\) (d) \(\alpha<\gamma<\beta\)
3 step solution
Problem 58
During a K-electron capture (a) X-rays are emitted (b) neutrous are emitted (c) \(\alpha\) particles are emitted (d) \(\gamma\) rays are emitted
3 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) \(9.36 \mathrm{~g}\)
5 step solution
Problem 62
If \(\mathrm{a}_{3} \mathrm{X}^{\mathrm{b}}\) species emits firstly a positron, then \(2 \alpha\) and \(2 \beta\) particles and in last \(1 \alpha\) particle is also emitted and finally converts to \(\mathrm{Y}^{d}\) species, so the correct relation is (a) \(\mathrm{c}=\mathrm{a}-5, \mathrm{~d}=\mathrm{b}-12\) (b) \(\mathrm{c}=\mathrm{a}-5, \mathrm{~d}=\mathrm{b}-10\) (c) \(\mathrm{c}=\mathrm{a}-6, \mathrm{~d}=\mathrm{b}-0\) (d) \(\mathrm{c}=\mathrm{a}-4, \mathrm{~d}=\mathrm{b}-12\)
6 step solution