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This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.
| 11951. |
A nucleus \[_{n}{{X}^{m}}\]emits one \[\alpha \] and one \[\beta \] particles. The resulting nucleus is [CBSE PMT 1998; BHU 2001; AFMC 2002] |
| A. | \[_{n}{{X}^{m-4}}\] |
| B. | \[_{n-2}{{Y}^{m-4}}\] |
| C. | \[_{n-4}{{Z}^{m-4}}\] |
| D. | \[_{n-1}{{Z}^{m-4}}\] |
| Answer» E. | |
| 11952. |
In the uranium radioactive series, the initial nucleus is \[_{92}{{U}^{238}}\]and the final nucleus is \[_{82}P{{b}^{206}}\]. When the uranium nucleus decays to lead, the number of \[\alpha -\]particles emitted will be [MP PMT 1999] |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 8 |
| Answer» E. | |
| 11953. |
The radioactive decay of uranium into thorium is expressed by the equation\[_{92}^{238}U\to _{90}^{234}Th+X,\]where \['X'\]is [MP PMT 1996, 2002; AMU (Engg.) 2000] |
| A. | An electron |
| B. | A proton |
| C. | A deuteron |
| D. | An alpha particle |
| Answer» E. | |
| 11954. |
After two hours, one- sixteenth of the starting amount of a certain radioactive isotope remained undecayed. The half-life of the isotope is [Bihar MEE 1995; Manipal MEE 1995; EAMCET 1994 MP PMT 1997; DPMT 2002; AFMC 2000, 05] |
| A. | 15 minutes |
| B. | 30 minutes |
| C. | 45 minutes |
| D. | 1 hour |
| Answer» C. 45 minutes | |
| 11955. |
Some radioactive nucleus may emit [IIT 1986] |
| A. | Only one \[-13.6\ eV\] or \[\gamma \]at a time |
| B. | All the three \[_{92}{{U}^{238}}\] and \[\gamma \] one after another |
| C. | All the three \[\alpha ,\ \beta \] and \[\gamma \] simultaneously |
| D. | Only\[\alpha \] and \[\beta \] simultaneously |
| Answer» B. All the three \[_{92}{{U}^{238}}\] and \[\gamma \] one after another | |
| 11956. |
A radioactive reaction is\[_{92}{{U}^{238}}{{\to }_{82}}P{{b}^{206}}\]. How many \[\alpha \]and \[\beta \]particles are emitted [BHU 1995; CET 1998; RPET 1996; BHU 2000; AMU (Engg.) 2000] |
| A. | \[10\alpha ,\ 6\beta \] |
| B. | 4 protons, 8 neutrons |
| C. | 6 electrons, 8 protons |
| D. | \[6\beta ,\ 8\alpha \] |
| Answer» E. | |
| 11957. |
16 gm sample of a radioactive element is taken from Bombay to Delhi in 2 hour and it was found that 1 gm of the element remained (undisintegrated). Half life of the element is [MP PMT 1994] |
| A. | 2 hour |
| B. | 1 hour |
| C. | \[\frac{1}{2}hour\] |
| D. | \[\frac{1}{4}hour\] |
| Answer» D. \[\frac{1}{4}hour\] | |
| 11958. |
An archaeologist analyses the wood in a prehistoric structure and finds that \[{{C}^{14}}\](Half-life = 5700 years) to \[{{C}^{12}}\]is only one- fourth of that found in the cells buried plants. The age of the wood is about [NCERT 1982] |
| A. | 5700 years |
| B. | 2850 years |
| C. | 11,400 years |
| D. | 22,800 years |
| Answer» D. 22,800 years | |
| 11959. |
A radio-isotope has a half- life of 5 years. The fraction of the atoms of this material that would decay in 15 years will be [NCERT 1984; MP PMT 1996; MP PET 1997] |
| A. | 1/8 |
| B. | 2/3 |
| C. | 7/8 |
| D. | 5/8 |
| Answer» D. 5/8 | |
| 11960. |
The half-life of \[B{{i}^{210}}\]is 5 days. What time is taken by (7/8)th part of the sample to decay [MNR 1986; Pb. PMT 2001] |
| A. | 3.4 days |
| B. | 10 days |
| C. | 15 days |
| D. | 20 days |
| Answer» D. 20 days | |
| 11961. |
Consider two nuclei of the same radioactive nuclide. One of the nuclei was created in a supernova explosion 5 billion years ago. The other was created in a nuclear reactor 5 minutes ago. The probability of decay during the next time is [KCET 2005] |
| A. | Different for each nuclei |
| B. | Nuclei created in explosion decays first |
| C. | Nuclei created in the reactor decays first |
| D. | Independent of the time of creation |
| Answer» E. | |
| 11962. |
In a sample of radioactive material, what fraction of the initial number of active nuclei will remain undisintegrated after half of a half-life of the sample [Kerala PMT 2005] |
| A. | \[\frac{1}{4}\] |
| B. | \[\frac{1}{2\sqrt{2}}\] |
| C. | \[\frac{1}{\sqrt{2}}\] |
| D. | \[2\sqrt{2}\] |
| Answer» D. \[2\sqrt{2}\] | |
| 11963. |
Mean life of a radioactive sample is 100 seconds. Then its half-life (in minutes) is [KCET 2005] |
| A. | 0.693 |
| B. | 1 |
| C. | 10-4 |
| D. | 1.155 |
| Answer» E. | |
| 11964. |
The particle that possesses half integral spin as [EAMCET 2005] |
| A. | Photon |
| B. | Pion |
| C. | Proton |
| D. | K-meson |
| Answer» D. K-meson | |
| 11965. |
A nucleus decays by \[{{\beta }^{+}}\] emission followed by a gamma emission. If the atomic and mass numbers of the parent nucleus are Z and A respectively, the corresponding numbers for the daughter nucleus are respectively. [UPSEAT 2005] |
| A. | \[Z-1\] and \[A-1\] |
| B. | \[Z+1\] and \[A\] |
| C. | \[Z-1\] and \[A\] |
| D. | \[Z+1\] and \[A-1\] |
| Answer» D. \[Z+1\] and \[A-1\] | |
| 11966. |
A radioactive material has a half-life of 8 years. The activity of the material will decrease to about 1/8 of its original value in [UPSEAT 2005] |
| A. | 256 year |
| B. | 128 year |
| C. | 64 year |
| D. | 24 year |
| Answer» E. | |
| 11967. |
The half-life of a radioactive substance is 3.6 days. How much of 20 mg of this radioactive substance will remain after 36 days [Pb. PMT 2003] |
| A. | 0.0019 mg |
| B. | 1.019 mg |
| C. | 1.109 mg |
| D. | 0.019 mg |
| Answer» E. | |
| 11968. |
Carbon dating is best suited for determining the age of fossils if their age in years is of the order of [AIIMS 2004] |
| A. | \[{{10}^{3}}\] |
| B. | \[{{10}^{4}}\] |
| C. | \[{{10}^{5}}\] |
| D. | \[{{10}^{6}}\] |
| Answer» C. \[{{10}^{5}}\] | |
| 11969. |
Which of the following rays are not electromagnetic wave [CBSE PMT 2003] |
| A. | g-rays |
| B. | b-rays |
| C. | Heat rays |
| D. | X-rays |
| Answer» C. Heat rays | |
| 11970. |
When \[_{90}T{{h}^{228}}\] transforms to \[_{83}B{{i}^{212}}\], then the number of the emitted a- and b-particles is, respectively [MP PET 2002] |
| A. | \[8\,\alpha ,\,7\beta \] |
| B. | \[4\,\alpha ,\,7\beta \] |
| C. | \[4\,\alpha ,\,4\beta \] |
| D. | \[4\,\alpha ,\,1\beta \] |
| Answer» E. | |
| 11971. |
Half-life of a substance is 10 years. In what time, it becomes \[\frac{1}{4}\]th part of the initial amount [AIEEE 2002] |
| A. | 5 years |
| B. | 10 years |
| C. | 20 years |
| D. | None of these |
| Answer» D. None of these | |
| 11972. |
If a radioactive substance reduces to \[\frac{1}{16}\] of its original mass in 40 days, what is its half-life [DCE 2001; AIIMS 2003] |
| A. | 10 days |
| B. | 20 days |
| C. | 40 days |
| D. | None of these |
| Answer» B. 20 days | |
| 11973. |
Certain radio-active substance reduces to 25% of its value in 16 days. Its half-life is [MP PMT 2001] |
| A. | 32 days |
| B. | 8 days |
| C. | 64 days |
| D. | 28 days |
| Answer» E. | |
| 11974. |
What fraction of a radioactive material will get disintegrated in a period of two half-lives [MP PET 2000] |
| A. | Whole |
| B. | Half |
| C. | One-fourth |
| D. | Three-fourth |
| Answer» E. | |
| 11975. |
Complete the equation for the following fission process \[_{92}{{U}^{235}}{{+}_{0}}{{n}^{1}}{{\to }_{38}}S{{r}^{90}}+....\] [CBSE PMT 1998] |
| A. | \[_{54}X{{e}^{143}}+3{{\ }_{0}}{{n}^{1}}\] |
| B. | \[_{54}X{{e}^{145}}\] |
| C. | \[_{57}X{{e}^{142}}\] |
| D. | \[_{54}X{{e}^{142}}{{+}_{0}}{{n}^{{}}}\] |
| Answer» B. \[_{54}X{{e}^{145}}\] | |
| 11976. |
A reaction between a proton and \[_{8}{{O}^{18}}\]that produces \[_{9}{{F}^{18}}\]must also liberate [Roorkee 1995] |
| A. | \[_{0}{{n}^{1}}\] |
| B. | \[_{1}{{e}^{0}}\] |
| C. | \[_{1}{{n}^{0}}\] |
| D. | \[_{0}{{e}^{1}}\] |
| Answer» B. \[_{1}{{e}^{0}}\] | |
| 11977. |
The mass equivalent of 931 MeV energy is [MP PET 1994; MH CET 2003] |
| A. | \[1.66\times {{10}^{-27}}kg\] |
| B. | \[6.02\times {{10}^{-24}}kg\] |
| C. | \[1.66\times {{10}^{-20}}kg\] |
| D. | \[6.02\times {{10}^{-27}}kg\] |
| Answer» B. \[6.02\times {{10}^{-24}}kg\] | |
| 11978. |
What was the fissionable material used in bomb dropped at Nagasaki (Japan) in the year 1945? [MNR 1985; UPSEAT 2003] |
| A. | Uranium |
| B. | Nepturium |
| C. | Berkalium |
| D. | Plutonium |
| Answer» E. | |
| 11979. |
During the nuclear fusion reaction [IIT 1987] |
| A. | A heavy nucleus breaks into two fragments by itself |
| B. | A light nucleus bombarded by thermal neutrons breaks up |
| C. | A heavy nucleus bombarded by thermal neutrons breaks up |
| D. | Two light nuclei combine to give a heavier nucleus and possibly other products |
| Answer» E. | |
| 11980. |
\[{{M}_{n}}\] and \[{{M}_{p}}\] represent mass of neutron and proton respectively. If an element having atomic mass M has N-neutron and Z-proton, then the correct relation will be [CBSE PMT 2001] |
| A. | \[M<[N{{M}_{n}}+Z{{M}_{P}}]\] |
| B. | \[M>[N{{M}_{n}}+Z{{M}_{P}}]\] |
| C. | \[M=[N{{M}_{n}}+Z{{M}_{P}}]\] |
| D. | \[M=N[{{M}_{n}}+{{M}_{P}}]\] |
| Answer» B. \[M>[N{{M}_{n}}+Z{{M}_{P}}]\] | |
| 11981. |
Which of the following isotopes is normally fissionable? [MP PET 1993] |
| A. | \[_{92}{{U}^{238}}\] |
| B. | \[_{93}N{{p}^{239}}\] |
| C. | \[\frac{9}{5}\] |
| D. | \[\frac{{{n}^{2}}}{Z}\] |
| Answer» D. \[\frac{{{n}^{2}}}{Z}\] | |
| 11982. |
The binding energy per nucleon is maximum in the case of [CBSE PMT 1993; JIPMER 2001, 02] |
| A. | \[_{4}^{2}He\] |
| B. | \[_{26}^{56}Fe\] |
| C. | \[_{56}^{141}Ba\] |
| D. | \[_{92}^{235}U\] |
| Answer» C. \[_{56}^{141}Ba\] | |
| 11983. |
Nucleus of an atom whose atomic mass is 24 consists of [CPMT 1999] |
| A. | 11 electrons, 11 protons and 13 neutrons |
| B. | 11 electrons, 13 protons and 11 neutrons |
| C. | 11 protons and 13 neutrons |
| D. | 11 protons and 13 electrons |
| Answer» D. 11 protons and 13 electrons | |
| 11984. |
The rest energy of an electron is [MP PMT 1996; BCECE 2003] |
| A. | 510 KeV |
| B. | 931 KeV |
| C. | 510 MeV |
| D. | 931 MeV |
| Answer» B. 931 KeV | |
| 11985. |
The particles which can be added to the nucleus of an atom without changing its chemical properties are called [NCERT 1979] |
| A. | Electrons |
| B. | Protons |
| C. | Neutrons |
| D. | None of the above |
| Answer» D. None of the above | |
| 11986. |
Which of the following cannot cause fission in a heavy nucleus [RPET 2002] |
| A. | a-particle |
| B. | Proton |
| C. | Deutron |
| D. | Laser rays |
| Answer» E. | |
| 11987. |
\[{{M}_{p}}\] denotes the mass of a proton and \[{{M}_{n}}\] that of a neutron. A given nucleus, of binding energy B, contains Z protons and N neutrons. The mass M(N, Z) of the nucleus is given by (c is the velocity of light) [CBSE PMT 2004] |
| A. | \[M(N,\,Z)=N{{M}_{n}}+Z{{M}_{p}}-B{{c}^{2}}\] |
| B. | \[M(N,\,Z)=N{{M}_{n}}+Z{{M}_{p}}+B{{c}^{2}}\] |
| C. | \[M(N,\,Z)=N{{M}_{n}}+Z{{M}_{p}}-B/{{c}^{2}}\] |
| D. | \[M(N,\,Z)=N{{M}_{n}}+Z{{M}_{p}}+B/{{c}^{2}}\] |
| Answer» D. \[M(N,\,Z)=N{{M}_{n}}+Z{{M}_{p}}+B/{{c}^{2}}\] | |
| 11988. |
Nuclear fusion is common to the pair [CPMT 2004] |
| A. | Thermonuclear reactor, uranium based nuclear reactor |
| B. | Energy production in sun, uranium based nuclear reactor |
| C. | Energy production in sun, hydrogen bomb |
| D. | Disintegration of heavy nuclei, hydrogen bomb |
| Answer» D. Disintegration of heavy nuclei, hydrogen bomb | |
| 11989. |
The average binding energy per nucleon in the nucleus of an atom is approximately [EAMCET 1988; CBSE PMT 1992; CPMT 1999; RPET 2002] |
| A. | 8 eV |
| B. | 8 KeV |
| C. | 8 MeV |
| D. | 8 J |
| Answer» D. 8 J | |
| 11990. |
Work of moderator is [AFMC 2003] |
| A. | To control the velocity of neutrons |
| B. | Cooling |
| C. | As fuel |
| D. | It is used for safety |
| Answer» B. Cooling | |
| 11991. |
In the following reaction the value of ?X? is \[_{7}{{N}^{14}}{{+}_{2}}H{{e}^{4}}\,\to \,X{{+}_{1}}{{H}^{1}}\] [DPMT 1999; CPMT 2003] |
| A. | \[_{8}{{N}^{17}}\] |
| B. | \[_{8}{{O}^{17}}\] |
| C. | \[_{7}{{O}^{16}}\] |
| D. | \[_{7}{{N}^{16}}\] |
| Answer» C. \[_{7}{{O}^{16}}\] | |
| 11992. |
In an atomic bomb, the energy is released due to [AIIMS 2001] |
| A. | Chain reaction of neutrons and \[_{92}{{U}^{235}}\] |
| B. | Chain reaction of neutrons and \[_{92}{{U}^{238}}\] |
| C. | Chain reaction of neutrons and \[_{92}{{P}^{240}}\] |
| D. | Chain reaction of neutrons and \[_{92}{{U}^{236}}\] |
| Answer» B. Chain reaction of neutrons and \[_{92}{{U}^{238}}\] | |
| 11993. |
In nuclear fission the percentage of mass converted into energy is about [KCET 2002] |
| A. | 0.1 |
| B. | 0.0001 |
| C. | 0.001 |
| D. | 0.01 |
| Answer» D. 0.01 | |
| 11994. |
Which of the following is true for a sample of isotope containing \[{{U}^{235}}\] and \[{{U}^{238}}\] [RPET 2000] |
| A. | Number of neutron are same in both |
| B. | Number of proton, electron and neutron are same in both |
| C. | Contain same number of protons and electrons but U238 contains 3 more neutrons than U235 |
| D. | U238 contains 3 less neutron then U235 |
| Answer» D. U238 contains 3 less neutron then U235 | |
| 11995. |
Hydrogen bomb is based on which of the following phenomenon [CPMT 2000] |
| A. | Nuclear fission |
| B. | Nuclear fusion |
| C. | Radioactive decay |
| D. | None of these |
| Answer» C. Radioactive decay | |
| 11996. |
In a nuclear reaction, which of the following is conserved [BHU 1997] |
| A. | Atomic number |
| B. | Mass number |
| C. | Atomic number, mass number and energy |
| D. | None of these |
| Answer» D. None of these | |
| 11997. |
For effective nuclear forces, the distance should be [Orissa PMT 2004] |
| A. | \[{{10}^{-10}}m\] |
| B. | \[{{10}^{-13}}m\] |
| C. | \[{{10}^{-15}}m\] |
| D. | \[{{10}^{-20}}m\] |
| Answer» D. \[{{10}^{-20}}m\] | |
| 11998. |
In an experiment for positive ray analysis with Thomson method, two identical parabola are obtained when applied electric fields are 3000 and 2000 V/m. The particles are singly ionised particles assuming same magnetic field: |
| A. | 0.04375 |
| B. | 0.0861111111111111 |
| C. | 0.125694444444444 |
| D. | 0.168055555555556 |
| Answer» B. 0.0861111111111111 | |
| 11999. |
The rate of disintegration was observed to be 1017 disintegrations per sec when its half-life period is 1445 years. The original number of particles are |
| A. | \[8.9\times {{10}^{27}}\] |
| B. | \[6.6\times {{10}^{27}}\] |
| C. | \[1.4\times {{10}^{16}}\] |
| D. | \[1.2\times {{10}^{17}}\] |
| Answer» C. \[1.4\times {{10}^{16}}\] | |
| 12000. |
The binding energy of deuteron \[\begin{matrix} 2 \\ 1 \\ \end{matrix}H\] is 1.112 Me V pen nucleon and an \[\alpha \]-particle \[\begin{matrix} 4 \\ 2 \\ \end{matrix}He\] has a binding energy of 7.047 Me V per nucleon. Then in the fusion reaction \[\begin{matrix} 2 \\ 1 \\ \end{matrix}He+\begin{matrix} 2 \\ 1 \\ \end{matrix}H\to \begin{matrix} 4 \\ 2 \\ \end{matrix}He+Q\], the energy Q released is |
| A. | \[1\,MeV\] |
| B. | \[11.9\,MeV\] |
| C. | \[23.8\,MeV\] |
| D. | \[931\,MeV\] |
| Answer» D. \[931\,MeV\] | |