Explore topic-wise MCQs in Joint Entrance Exam - Main (JEE Main).

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.

4351.

Order of magnitude of density of uranium nucleus is \[({{m}_{p}}=1.67\times {{10}^{-27}}kg)\] [MP PET 1995; IIT-JEE 1999; MP PMT 2000; UPSEAT 2003]

A.            \[{{10}^{20}}kg/{{m}^{3}}\]   
B.            \[{{10}^{17}}kg/{{m}^{3}}\]
C.            \[{{10}^{14}}kg/{{m}^{3}}\]   
D.            \[{{10}^{11}}kg/{{m}^{3}}\]
Answer» C.            \[{{10}^{14}}kg/{{m}^{3}}\]   
4352.

Outside a nucleus                 [MP PET 1999; CPMT 2000; BHU 2000]

A.            Neutron is stable               
B.            Proton and neutron both are stable
C.            Neutron is unstable
D.            Neither neutron nor proton is stable
Answer» D.            Neither neutron nor proton is stable
4353.

In \[_{88}R{{a}^{226}}\]nucleus, there are                                                           [MP PMT/PET 1998]

A.            138 protons and 88 neutrons
B.            138 neutrons and 88 protons
C.            226 protons and 88 electrons
D.            226 neutrons and 138 electrons
Answer» C.            226 protons and 88 electrons
4354.

The mass number of a nucleus is equal to the number of [MP PET 1996]

A.            Electrons it contains          
B.            Protons it contains
C.            Neutrons it contains         
D.            Nucleons it contains
Answer» E.
4355.

The binding energies per nucleon for a deuteron and an \[\alpha -\]particle are x1 and x2 respectively. What will be the energy Q released in the reaction \[_{1}{{H}^{2}}{{+}_{1}}{{H}^{2}}{{\to }_{2}}H{{e}^{4}}+Q\]     [CBSE PMT 1995]

A.            \[4({{x}_{1}}+{{x}_{2}})\]
B.            \[4({{x}_{2}}-{{x}_{1}})\]
C.            \[2({{x}_{1}}+{{x}_{2}})\]
D.            \[2({{x}_{2}}-{{x}_{1}})\]
Answer» C.            \[2({{x}_{1}}+{{x}_{2}})\]
4356.

Equivalent energy of mass equal to 1 a.m.u. is [CBSE PMT 1992; MP PET 1988, 2002; MP PMT 1994, 98, 2004; RPET 1997; RPMT 2000]

A.            931 KeV                                  
B.            931 eV
C.            931 MeV                                
D.            9.31 MeV
Answer» D.            9.31 MeV
4357.

Which of the following pairs is an isobar           [MP PET 1994]

A.            \[_{1}{{H}^{1}}\]and \[_{1}{{H}^{2}}\]                          
B.            \[_{1}{{H}^{2}}\]and \[_{1}{{H}^{3}}\]
C.            \[_{6}{{C}^{12}}\]and \[_{6}{{C}^{13}}\]                      
D.            \[_{15}{{P}^{30}}\]and \[_{14}S{{i}^{30}}\]
Answer» E.
4358.

One requires energy \[{{E}_{n}}\]to remove a nucleon from a nucleus and an energy \['{{E}_{e}}'\]to remove an electron from the orbit of an atom. Then                                                                [NCERT 1981]

A.            \[{{E}_{n}}={{E}_{e}}\]     
B.            \[{{E}_{n}}<{{E}_{e}}\]
C.            \[{{E}_{n}}>{{E}_{e}}\]     
D.            \[{{E}_{n}}\ge {{E}_{e}}\]
Answer» D.            \[{{E}_{n}}\ge {{E}_{e}}\]
4359.

The example of nuclear fusion is                            [BCECE 2005]

A.            Formation of Ba and Kr from U235
B.            Formation of He from H
C.            Formation of Pu ? 235 from U - 235
D.            Formation of water from hydrogen and oxygen
Answer» C.            Formation of Pu ? 235 from U - 235
4360.

If radius of the \[_{13}^{27}Al\] nucleus is estimated to be 3.6 Fermi then the radius of  \[_{52}^{125}Te\]nucleus be nearly                   [AIEEE 2005]

A.            4 Fermi                                   
B.            5 Fermi
C.            6 Fermi                                   
D.            8 Fermi
Answer» D.            8 Fermi
4361.

In any fission process the ratio \[\frac{\text{mass of fission products}}{\text{mass of parent nucleus}}\] is [CBSE PMT 2005]

A.            Less than 1
B.            Greater than 1
C.            Equal to 1                              
D.            Depends on the mass of the parent nucleus
Answer» B.            Greater than 1
4362.

Fission of nuclei is possible because the binding energy per nucleon in them                       [CBSE PMT 2005]

A.            Increases with mass number at high mass numbers
B.            Decreases with mass number at high mass numbers
C.            Increases with mass number at low mass numbers
D.            Decreases with mass number at low mass numbers
Answer» C.            Increases with mass number at low mass numbers
4363.

Which of the following is most unstable             [AFMC 2005]

A.            Electrons                               
B.            Protons
C.            Neutrons                               
D.            \[\alpha \]-particle
Answer» D.            \[\alpha \]-particle
4364.

In the reaction \[_{1}^{2}H+_{1}^{3}H\to _{2}^{4}He+_{0}^{1}n\]. If the tending energies of \[_{1}^{2}H,\text{ }_{1}^{3}H\text{  and  }_{2}^{4}He\] are respectively \[a,\text{ b  and }c\] (in MeV), then the energy (in MeV) released in this reaction is                                                                                                   [CBSE PMT 2005]

A.            \[c+a-b\]                               
B.            \[c-a-b\]
C.            \[a+b+c\]                              
D.            \[a+b-c\]
Answer» C.            \[a+b+c\]                              
4365.

If the mass number of an atom is \[A=40\] and its electron configuration is \[1{{s}^{2}},\ 2{{s}^{2}},\ 2{{p}^{6}},\ 3{{s}^{2}},\ 3{{p}^{6}}\], the number of neutrons and protons in its nucleus will be  [RPMT 2002]

A.            22, 18                                      
B.            18, 22
C.            20, 20                                       
D.            18, 18
Answer» B.            18, 22
4366.

The atoms of same element having different masses but same chemical properties, are called   [RPMT 2002]

A.            Isotones                                
B.            Isotopes
C.            Isobars                                      
D.            Isomers
Answer» C.            Isobars                                      
4367.

If in a nuclear fission, piece of uranium of mass 0.5 g is lost, the energy obtained in kWh is                            [Pb. PET 2003]

A.            \[1.25\times {{10}^{7}}\]
B.            \[2.25\times {{10}^{7}}\]
C.            \[3.25\times {{10}^{7}}\]
D.            \[0.25\times {{10}^{7}}\]
Answer» B.            \[2.25\times {{10}^{7}}\]
4368.

Binding energy of a nucleus is

A.            Energy given to its nucleus during its formation
B.            Total mass of nucleus converted to energy units
C.            Loss of energy from the nucleus during its formation
D.            Total K.E. and P.E. of the nucleons in the nucleus
Answer» D.            Total K.E. and P.E. of the nucleons in the nucleus
4369.

The energy in MeV is released due to transformation of 1 kg mass completely into energy \[(c=3\times {{10}^{8}}m/s)\]                   [Pb. PMT 2003]

A.            \[7.625\times 10\,MeV\]
B.            \[10.5\times {{10}^{29}}\,MeV\]
C.            \[2.8\times {{10}^{-28}}\,MeV\]                                     
D.            \[5.625\times {{10}^{29}}\,MeV\]
Answer» E.
4370.

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.
4371.

The curve of binding energy per nucleon as a function of atomic mass number has a sharp peak for helium nucleus. This implies that helium                                                          [DCE 2004]

A.            Can easily be broken up
B.            Is very stable
C.            Can be used as fissionable material
D.            Is radioactive
Answer» C.            Can be used as fissionable material
4372.

A nucleus is bombarded with a high speed neutron so that resulting nucleus is a radioactive one. This phenomenon is called                                                                      [DCE 2004]

A.            Artificial radioactivity        
B.            Fusion
C.            Fission                                    
D.            Radioactivity
Answer» D.            Radioactivity
4373.

What is used as a moderator in a nuclear reactor [DCE 2004]

A.            Water                                     
B.            Graphite
C.            Cadmium                                 
D.            Steel
Answer» C.            Cadmium                                 
4374.

In a nuclear reactor, the fuel is consumed at the rate of 1 mg/s. The power generated in kilowatt is [DCE 2003]

A.            \[9\times {{10}^{4}}\]      
B.            \[9\times {{10}^{7}}\]
C.            \[9\times {{10}^{8}}\]      
D.            \[9\times {{10}^{12}}\]
Answer» C.            \[9\times {{10}^{8}}\]      
4375.

A nucleus of  \[_{84}^{210}Po\] originally at rest emits a particle with speed v. What will be the recoil speed of the daughter nucleus                                                             [DCE 2002]

A.            4v/206                                    
B.            4v/214
C.            v/206                                       
D.            v/214
Answer» B.            4v/214
4376.

The nucleus \[_{92}{{U}^{234}}\] splits exactly in half in a fission reaction in which two neutrons are released. The resultant nuclei are [UPSEAT 2004]

A.            \[_{46}P{{d}^{116}}\]       
B.            \[_{45}R{{h}^{117}}\]
C.            \[_{45}R{{h}^{116}}\]       
D.            \[_{46}P{{d}^{117}}\]
Answer» B.            \[_{45}R{{h}^{117}}\]
4377.

The binding energy of deuteron \[_{1}^{2}H\]is 1.112 MeV per nucleon and an \[\alpha -\]particle \[_{2}^{4}He\]has a binding energy of 7.047 MeV per nucleon. Then in the fusion reaction\[_{1}^{2}H+_{1}^{2}H\to _{2}^{4}He+Q\], the energy Q released is [MP PMT 1992; Roorkee 1994; IIT 1996; AIIMS 1997]

A.            1 MeV                                     
B.            11.9 MeV
C.            23.8 MeV                               
D.            931 MeV
Answer» D.            931 MeV
4378.

1 atomic mass unit is equal to                                [Pb. PET 2001]

A.            \[\frac{1}{25}\] (mass of \[{{F}_{2}}\] molecules)
B.            \[\frac{1}{14}\] (mass of \[{{N}_{2}}\] molecules)
C.            \[\frac{1}{12}\] (mass of one C-atom)
D.            \[\frac{1}{16}\] (mass of \[{{O}_{2}}\] molecules)
Answer» D.            \[\frac{1}{16}\] (mass of \[{{O}_{2}}\] molecules)
4379.

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
4380.

Complete the reaction\[n+\,_{92}^{235}U\to \,_{56}^{144}Ba+....+3n\]                                                [Kerala PMT 2004]

A.            \[_{36}^{89}Kr\]                 
B.            \[_{36}^{90}Kr\]
C.            \[_{36}^{91}Kr\]                 
D.            \[_{36}^{92}Kr\]
Answer» B.            \[_{36}^{90}Kr\]
4381.

\[_{6}^{12}C\] absorbs an energetic neutron and emits beta particles. The resulting nucleus is                   [Kerala PMT 2004]

A.            \[_{7}^{14}N\]                    
B.            \[_{7}^{13}N\]
C.            \[_{5}^{13}B\]                     
D.            \[_{6}^{13}C\]
Answer» C.            \[_{5}^{13}B\]                     
4382.

The principle of controlled chain reaction is used in [Orissa PMT 2004]

A.            Atomic energy reactor     
B.            Atom bomb
C.            The core of sun                       
D.            Artificial radioactivity
Answer» B.            Atom bomb
4383.

If in a nuclear fusion process the masses of the fusing nuclei be \[{{m}_{1}}\] and \[{{m}_{2}}\] and the mass of the resultant nucleus be \[{{m}_{3}}\], then [CPMT 1982; CBSE PMT 2004]

A.            \[{{m}_{3}}={{m}_{1}}+{{m}_{2}}\]                                
B.            \[{{m}_{3}}=\ |{{m}_{1}}+{{m}_{2}}|\]
C.            \[{{m}_{3}}<({{m}_{1}}+{{m}_{2}})\]                             
D.            \[{{m}_{3}}>({{m}_{1}}+{{m}_{2}})\]
Answer» D.            \[{{m}_{3}}>({{m}_{1}}+{{m}_{2}})\]
4384.

\[{{M}_{p}}\] 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.            \[M(N,\,Z)=N{{M}_{n}}+Z{{M}_{p}}+B/{{c}^{2}}\]
4385.

If M is the atomic mass and A is the mass number, packing fraction is given by                                    [KCET 2004]

A.            \[\frac{A}{M-A}\]              
B.            \[\frac{A-M}{A}\]
C.            \[\frac{M}{M-A}\]             
D.            \[\frac{M-A}{A}\]
Answer» E.
4386.

Heavy water is                                                                 [KCET 2004]

A.            Water at \[{{4}^{o}}C\]
B.            Compound of deuterium and oxygen        
C.            Compound of heavy oxygen and heavy hydrogen
D.            Water, in which soap does not lather
Answer» C.            Compound of heavy oxygen and heavy hydrogen
4387.

The nuclear reactor at Kaiga is a                                [KCET 2004]

A.            Fusion reactor                     
B.            Research reactor
C.            Power reactor                     
D.            Breeder reactor
Answer» D.            Breeder reactor
4388.

Mark the correct statement                                 [MP PMT 2004]

A.            Nuclei of different elements can have the same number of neutrons
B.            Every element has only two stable isotopes
C.            Only one isotope of each element is stable
D.            All isotopes of every element are radioactive
Answer» B.            Every element has only two stable isotopes
4389.

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
4390.

The binding energy of nucleus is a measure of its [MP PMT 2004

A.            Charge                                    
B.            Mass
C.            Momentum                         
D.            Stability
Answer» E.
4391.

Solar energy is mainly caused due to              [CBSE PMT 2003]

A.            Fission of uranium present in the sun
B.            Fusion of protons during synthesis of heavier elements
C.            Gravitational contraction
D.            Burning of hydrogen in the oxygen
Answer» C.            Gravitational contraction
4392.

Light energy emitted by stars is due to          [Orissa JEE 2003]

A.            Breaking of nuclei              
B.            Joining of nuclei
C.            Burning of nuclei                
D.            Reflection of solar light
Answer» C.            Burning of nuclei                
4393.

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
4394.

A nuclear reaction given by \[_{Z}{{X}^{A}}\,\to {{\,}_{Z+1}}{{Y}^{A}}{{+}_{-1}}{{e}^{0}}+\bar{p}\] represents    [CBSE PMT 2003]

A.            g-decay                                  
B.            Fusion
C.            Fission                                    
D.            b-decay
Answer» E.
4395.

A deutron is bombarded on \[_{8}{{O}^{16}}\] nucleus and a-particle is emitted. The product nucleus is               [CBSE PMT 2002]

A.            \[_{7}{{N}^{13}}\]              
B.            \[_{5}{{B}^{10}}\]
C.            \[_{4}B{{c}^{9}}\]               
D.            \[_{7}{{N}^{14}}\]
Answer» E.
4396.

Which of the following are suitable for the fusion process  [CBSE PMT 2002]

A.            Heavy nuclei                        
B.            Light nuclei
C.            Atom bomb                          
D.            Radioactive decay
Answer» C.            Atom bomb                          
4397.

A \[{{\pi }^{0}}\] at rest decays into \[2\gamma \] rays \[{{\pi }^{0}}\to \gamma +\gamma \]. Then which of the following can happen  [CPMT 2002]

A.            The two \[\gamma 's\] move in same direction
B.            The two \[\gamma 's\] move in opposite direction
C.            Both repel each other
D.            Both attract each other
Answer» C.            Both repel each other
4398.

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.            \[_{7}{{O}^{16}}\]              
4399.

The nuclear reaction \[^{2}H{{+}^{2}}H\to {{\,}^{4}}He\] (mass of deuteron = 2.0141 a.m.u. and mass of He = 4.0024 a.m.u.) is [Orissa JEE 2002]

A.            Fusion reaction releasing 24 MeV energy
B.            Fusion reaction absorbing 24 MeV energy
C.            Fission reaction releasing 0.0258 MeV energy
D.            Fission reaction absorbing 0.0258 MeV energy
Answer» B.            Fusion reaction absorbing 24 MeV energy
4400.

One microgram of matter converted into energy will give              [CPMT 1984; EAMCET (Engg.) 1995; SCRA 1994; BVP 2003]

A.            90 J                                           
B.            \[9\times {{10}^{3}}\]J
C.            \[9\times {{10}^{10}}\]J
D.            \[9\times {{10}^{5}}\]J
Answer» D.            \[9\times {{10}^{5}}\]J