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

This section includes 11242 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.

3401.

Among the following gases which one has the lowest root mean square velocity at \[{{25}^{o}}C\]           [EAMCET 1983]

A.                 \[S{{O}_{2}}\]   
B.                 \[{{N}_{2}}\]
C.                 \[{{O}_{2}}\]     
D.                 \[C{{l}_{2}}\]
Answer» E.
3402.

The average kinetic energy of an ideal gas per molecule in SI units at \[{{25}^{o}}C\] will be          [CBSE PMT 1996]

A.                 \[6.17\times {{10}^{-21}}\,kJ\]  
B.                 \[6.17\times {{10}^{-21}}\,J\]
C.                 \[6.17\times {{10}^{-20}}\,J\]    
D.                 \[6.17\times {{10}^{-20}}\,J\]
Answer» C.                 \[6.17\times {{10}^{-20}}\,J\]    
3403.

At \[{{27}^{o}}C\], the ratio of rms velocities of ozone to oxygen is                 [EAMCET 1992]

A.                 \[\sqrt{3/5}\]    
B.                 \[\sqrt{4/3}\]
C.                 \[\sqrt{2/3}\]    
D.                 0.25
Answer» D.                 0.25
3404.

If the \[{{v}_{rms}}\] is \[30{{R}^{1/2}}\] at \[{{27}^{o}}C\] then calculate the molar mass of gas in kilogram.        [DPMT 2005]

A.                 1             
B.                 2
C.                 4             
D.                 0.001
Answer» E.
3405.

The temperature at which RMS velocity of \[S{{O}_{2}}\] molecules is half that of He molecules at 300 K is            [NTSE 1991]

A.                 150 K    
B.                 600 K
C.                 900 K    
D.                 1200 K
Answer» E.
3406.

Which of the following has maximum root mean square velocity at the same temperature           [Manipal PMT 2002]

A.                 \[S{{O}_{2}}\]   
B.                 \[C{{O}_{2}}\]
C.                 \[{{O}_{2}}\]     
D.                 \[{{H}_{2}}\]
Answer» E.
3407.

Ratio of average to most probable velocity is  [Orissa JEE  2005]

A.                 1.128    
B.                 1.224
C.                 1.0         
D.                 1.112
Answer» B.                 1.224
3408.

The root mean square velocity of one mole of a monoatomic having molar mass M is \[{{U}_{rms}}\]. The relation between the average kinetic energy  of the \[{{U}_{rms}}\] is [IIT-JEE Screening 2004]

A.                 \[{{U}_{rms}}=\sqrt{\frac{3E}{2M}}\]    
B.                 \[{{U}_{rms}}=\sqrt{\frac{2E}{3M}}\]
C.                 \[{{U}_{rms}}=\sqrt{\frac{2E}{M}}\]       
D.                 \[{{U}_{rms}}=\sqrt{\frac{E}{3M}}\]
Answer» D.                 \[{{U}_{rms}}=\sqrt{\frac{E}{3M}}\]
3409.

What is the pressure of 2 mole of \[N{{H}_{3}}\] at \[{{27}^{o}}C\] when its volume is 5 litre in vander Waal?s equation (a = 4.17, b = 0.03711)             [JEE Orissa 2004]

A.                 10.33 atm           
B.                 9.33 atm
C.                 9.74 atm              
D.                 9.2 atm
Answer» C.                 9.74 atm              
3410.

The r.m.s. velocity of a gas depends upon            [DCE 2002]

A.                 Temperature only
B.                 Molecular mass only
C.                 Temperature and molecular mass of gas
D.                 None of these
Answer» D.                 None of these
3411.

The r.m.s. velocity of a certain gas is \[v\] at \[300K\]. The temperature, at which the r.m.s. velocity becomes double [Pb. CET 2002]

A.                 \[1200K\]            
B.                 \[900\,K\]
C.                 \[600K\]              
D.                 \[150K\]
Answer» B.                 \[900\,K\]
3412.

The ratio of most probable velocity to that of average velocity is               [JEE Orissa 2004]

A.                 \[\pi /2\]             
B.                 \[2/\pi \]
C.                 \[\sqrt{\pi }/2\]               
D.                 \[2/\sqrt{\pi }\]
Answer» D.                 \[2/\sqrt{\pi }\]
3413.

Choose the correct arrangement, where the symbols have their usual meanings

A.                 \[\bar{u}>{{u}_{p}}>{{u}_{rms}}\]           
B.                 \[{{u}_{rms}}>\bar{u}>{{u}_{p}}\]
C.                 \[{{u}_{p}}>\bar{u}>{{u}_{rms}}\]           
D.                 \[{{u}_{p}}>{{u}_{rms}}>\bar{u}\]
Answer» C.                 \[{{u}_{p}}>\bar{u}>{{u}_{rms}}\]           
3414.

Which is not true in case of an ideal gas [CBSE PMT 1991]

A.                 It cannot be converted into a liquid
B.                 There is no interaction between the molecules
C.                 All molecules of the gas move with same speed
D.                 At a given temperature, PV is proportional to the amount of the gas
Answer» D.                 At a given temperature, PV is proportional to the amount of the gas
3415.

The rms speed of \[{{N}_{2}}\] molecules in a gas is u. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes

A.                 \[u/2\] 
B.                 2u
C.                 4u          
D.                 14u
Answer» C.                 4u          
3416.

Consider a mixture of \[S{{O}_{2}}\] and \[{{O}_{2}}\] kept at room temperature. Compared to the oxygen molecule, the \[S{{O}_{2}}\] molecule will hit the wall with

A.                 Smaller average speed 
B.                 Greater average speed
C.                 Greater kinetic energy 
D.                 Greater mass
Answer» E.
3417.

The root mean square velocity of an ideal gas at constant pressure varies density  as       [IIT 2000]

A.                 \[{{d}^{2}}\]      
B.                 d
C.                 \[\sqrt{d}\]        
D.                 \[1/\sqrt{d}\]
Answer» E.
3418.

The ratio between the root mean square velocity of H2 at 50 K and that of \[{{O}_{2}}\] at 800 K is            [IIT 1996]

A.                 4             
B.                 2
C.                 1             
D.                 ¼
Answer» D.                 ¼
3419.

The temperature of the gas is raised from \[{{27}^{o}}C\] to \[{{927}^{o}}C\], the root mean square velocity is   [CBSE PMT 1994]

A.                 \[\sqrt{927/27}\]times the earlier value
B.                 Same as before
C.                 Halved
D.                 Doubled
Answer» E.
3420.

Molecular velocities of the two gases at the same temperature are \[{{u}_{1}}\] and \[{{u}_{2}}\]. Their masses are \[{{m}_{1}}\] and \[{{m}_{2}}\] respectively. Which of the following expressions is correct [BHU 1994]

A.                 \[\frac{{{m}_{1}}}{u_{1}^{2}}=\frac{{{m}_{2}}}{u_{2}^{2}}\]        
B.                 \[{{m}_{1}}{{u}_{1}}={{m}_{2}}{{u}_{2}}\]
C.                 \[\frac{{{m}_{1}}}{{{u}_{1}}}=\frac{{{m}_{2}}}{{{u}_{2}}}\]           
D.                 \[{{m}_{1}}u_{1}^{2}={{m}_{2}}u_{2}^{2}\]
Answer» E.
3421.

At constant volume, for a fixed number of moles of a gas, the pressure of the gas increases with increase in temperature due to   [IIT 1992]

A.                 Increase in the average molecular speed
B.                 Increased rate of collision amongst molecules
C.                 Increase in molecular attraction
D.                 Decrease in mean free path
Answer» B.                 Increased rate of collision amongst molecules
3422.

Root mean square velocity of a gas molecule is proportional to  [CBSE PMT 1990]

A.                 \[{{m}^{1/2}}\]
B.                 \[{{m}^{0}}\]
C.                 \[{{m}^{-1/2}}\]               
D.                 m
Answer» D.                 m
3423.

The rms velocity at NTP of the species can be calculated from the expression     [EAMCET 1990]

A.                 \[\sqrt{\frac{3P}{d}}\]  
B.                 \[\sqrt{\frac{3\,PV}{M}}\]
C.                 \[\sqrt{\frac{3\,RT}{M}}\]           
D.                 All the above
Answer» E.
3424.

The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from \[5\times {{10}^{4}}\,cm\,{{s}^{-1}}\] to \[10\times {{10}^{4}}\,cm\,{{s}^{-1}}\]. Which of the following statement correctly explains how the change is accomplished [Pb. CET 1986]

A.                 By heating the gas, the temperature is doubled
B.                 By heating the gas, the pressure is quadrupled (i.e. made four times)
C.                 By heating the gas, the temperature is quadrupled
D.                 By heating the gas, the pressure is doubled
Answer» C.                 By heating the gas, the temperature is quadrupled
3425.

The ratio of root mean square velocity to average velocity of gas molecules at a particular temperature is [IIT 1981]

A.                 1.086 : 1               
B.                 1 : 1.086
C.                 2 : 1.086               
D.                 1.086 : 2
Answer» B.                 1 : 1.086
3426.

Oxygen molecule is paramagnetic because [NCERT 1984; IIT 1984]

A.                 Bonding electrons are more than antibonding electrons
B.                 Contains unpaired electrons
C.                 Bonding electrons are less than antibonding electrons
D.                 Bonding electrons are equal to antibonding electrons
Answer» D.                 Bonding electrons are equal to antibonding electrons
3427.

Among the following molecules which one have smallest bond angle      [Orissa JEE 2005]

A.                 \[N{{H}_{3}}\]  
B.                 \[P{{H}_{3}}\]
C.                 \[{{H}_{2}}O\]  
D.                 \[{{H}_{2}}Sc\]
E.                 \[{{H}_{2}}S\]                   
Answer» E.                 \[{{H}_{2}}S\]                   
3428.

Which of the following is paramagnetic  [DPMT 2005]

A.                 \[{{N}_{2}}\]     
B.                 \[{{C}_{2}}\]
C.                 \[N_{2}^{+}\]   
D.                 \[O_{2}^{2-}\]
Answer» D.                 \[O_{2}^{2-}\]
3429.

Correct order of bond length is  [Orissa JEE 2005]

A.                 \[CO_{3}^{2-}>C{{O}_{2}}>CO\]               
B.                 \[C{{O}_{2}}>CO>CO_{3}^{2-}\]
C.                 \[CO>C{{O}_{2}}>CO_{3}^{2-}\]               
D.                 None of these
Answer» B.                 \[C{{O}_{2}}>CO>CO_{3}^{2-}\]
3430.

The correct order in which the O ? O bond length increases in the following is     [BHU 2000; CBSE PMT 2005]

A.                 \[{{H}_{2}}{{O}_{2}}<{{O}_{2}}<{{O}_{3}}\]         
B.                 \[{{O}_{2}}<{{H}_{2}}{{O}_{2}}<{{O}_{3}}\]
C.                 \[{{O}_{2}}<{{O}_{3}}<{{H}_{2}}{{O}_{2}}\]         
D.                 \[{{O}_{3}}<{{H}_{2}}{{O}_{2}}<{{O}_{2}}\]
Answer» D.                 \[{{O}_{3}}<{{H}_{2}}{{O}_{2}}<{{O}_{2}}\]
3431.

Which of the following species have maximum number of unpaired electrons                                    [AIIMS 1983]

A.                 \[{{O}_{2}}\]     
B.                 \[O_{2}^{+}\]
C.                 \[O_{2}^{-}\]    
D.                 \[O_{2}^{2-}\]
Answer» B.                 \[O_{2}^{+}\]
3432.

The bond order of a molecule is given by              [NCERT 1984]

A.                 The difference between the number of electrons in bonding and antibonding orbitals
B.                 Total number of electrons in bonding and antibonding orbitals
C.                 Twice the difference between the number of electrons in bonding and antibonding electrons
D.                 Half the difference between the number of electrons in bonding and antibonding electrons
Answer» C.                 Twice the difference between the number of electrons in bonding and antibonding electrons
3433.

Which of the following is not paramagnetic          [DCE 2002]

A.                 \[{{O}_{2}}\]     
B.                 \[O_{2}^{2+}\]
C.                 \[O_{2}^{2-}\]  
D.                 \[O_{2}^{-}\]
Answer» D.                 \[O_{2}^{-}\]
3434.

In \[O_{2}^{-},\] \[{{O}_{2}}\] and \[O_{2}^{-2}\] molecular species, the total number of antibonding electrons respectively are [DCE 2003]

A.                 7, 6, 8   
B.                 1, 0, 2
C.                 6, 6, 6   
D.                 8, 6, 8
Answer» B.                 1, 0, 2
3435.

Which has the highest bond energy        [DCE 2002]

A.                 \[{{F}_{2}}\]      
B.                 \[C{{l}_{2}}\]
C.                 \[B{{r}_{2}}\]    
D.                 \[{{I}_{2}}\]
Answer» C.                 \[B{{r}_{2}}\]    
3436.

The paramagnetic molecule at ground state among the following is         [UPSEAT 2004]

A.                 \[{{H}_{2}}\]      
B.                 \[{{O}_{2}}\]
C.                 \[{{N}_{2}}\]     
D.                 \[CO\]
Answer» C.                 \[{{N}_{2}}\]     
3437.

Which of the following is paramagnetic  [UPSEAT 2004]

A.                 \[{{B}_{2}}\]      
B.                 \[{{C}_{2}}\]
C.                 \[{{N}_{2}}\]     
D.                 \[{{F}_{2}}\]
Answer» B.                 \[{{C}_{2}}\]
3438.

Which of the following is diamagnetic     [BVP 2004]

A.                 Oxygen molecule            
B.                 Boron molecule
C.                 \[N_{2}^{+}\]   
D.                 None
Answer» E.
3439.

The bond order in NO is 2.5 while that in \[N{{O}^{+}}\]is 3. Which of the following statements is true for these two species [AIEEE 2004]

A.                 Bond length in \[N{{O}^{+}}\]is equal to that in \[NO\]  
B.                 Bond length in \[NO\]is greater than in \[N{{O}^{+}}\]
C.                 Bond length in \[N{{O}^{+}}\]is greater than in \[NO\]
D.                 Bond length is unpredictable
Answer» C.                 Bond length in \[N{{O}^{+}}\]is greater than in \[NO\]
3440.

According to molecular orbital theory which of the following statement about the magnetic character and bond order is correct regarding \[O_{2}^{+}\] [IIT JEE Screening 2004]

A.                 Paramagnetic and bond order<\[{{O}_{2}}\]      
B.                 Paramagnetic and bond order>\[{{O}_{2}}\]      
C.                 Dimagnetic and bond order<\[{{O}_{2}}\]
D.                 Dimagnetic and bond order>\[{{O}_{2}}\]
Answer» C.                 Dimagnetic and bond order<\[{{O}_{2}}\]
3441.

The bond length the species \[{{O}_{2}},O_{2}^{+}\]and \[O_{2}^{-}\] are in the order of                                             [MP PET 2004]

A.                 \[O_{2}^{+}>{{O}_{2}}>O_{2}^{-}\]        
B.                 \[O_{2}^{+}>O_{2}^{-}>{{O}_{2}}\]
C.                 \[{{O}_{2}}>O_{2}^{+}>O_{2}^{-}\]        
D.                 \[O_{2}^{-}>{{O}_{2}}>O_{2}^{+}\]
Answer» B.                 \[O_{2}^{+}>O_{2}^{-}>{{O}_{2}}\]
3442.

The total number of electron that takes part in forming bonds in \[{{N}_{2}}\]is [MP PET 2004]

A.                 2             
B.                 4
C.                 6             
D.                 10
Answer» D.                 10
3443.

The bond order of \[O_{2}^{+}\] is the same as in            [CPMT 2004]

A.  \[N_{2}^{+}\]  
B.                 \[C{{N}^{-}}\]
C.                 \[CO\]  
D.                 \[N{{O}^{+}}\]
Answer» B.                 \[C{{N}^{-}}\]
3444.

Bond order of \[{{O}_{2}}\]is      [DPMT  2004]

A.                 2             
B.                         1.5
C.                 3             
D.                 3.5
Answer» B.                         1.5
3445.

In \[PO_{4}^{3-}\]ion, the formal charge on each oxygen atom and \[P-O\]bond order respectively are  [DPMT 2004]

A.                 \[-0.75,\ 1.25\] 
B.                 \[-0.75,\ 1.0\]
C.                 \[-0.75,\ 0.6\]   
D.                 \[-3,\ 1.25\]
Answer» B.                 \[-0.75,\ 1.0\]
3446.

The paramagnetic property of the oxygen molecule due to the presence of unpaired electorns present in [Kerala PMT 2004]

A.                 \[{{(\sigma 2{{p}_{x}})}^{1}}\] and \[{{({{\sigma }^{*}}2{{p}_{x}})}^{1}}\]
B.                  \[{{(\sigma 2{{p}_{x}})}^{1}}\]and \[{{(\pi 2{{p}_{y}})}^{1}}\]
C.                 \[{{(\pi *2{{p}_{y}})}^{1}}\] and \[{{(\pi *2{{p}_{z}})}^{1}}\]
D.                 \[{{(\pi *2{{p}_{y}})}^{1}}\]and \[{{(\pi 2{{p}_{y}})}^{1}}\]
E.                 \[{{(\pi *2{{p}_{z}})}^{1}}\] and \[{{(\pi 2{{p}_{z}})}^{1}}\]
Answer» D.                 \[{{(\pi *2{{p}_{y}})}^{1}}\]and \[{{(\pi 2{{p}_{y}})}^{1}}\]
3447.

From elementary molecular orbital theory we can give the electronic configuration of the singly positive nitrogen molecular ion \[N_{2}^{+}\] as                                        [UPSEAT 2003]

A.                 \[\sigma {{(1s)}^{2}}{{\sigma }^{*}}{{(1s)}^{2}}\sigma {{(2s)}^{2}}{{\sigma }^{*}}{{(2s)}^{2}}\pi {{(2p)}^{4}}\sigma {{(2p)}^{1}}\]
B.                         \[\sigma {{(1s)}^{2}}{{\sigma }^{*}}{{(1s)}^{2}}\sigma {{(2s)}^{2}}{{\sigma }^{*}}{{(2s)}^{2}}\sigma {{(2p)}^{1}}\pi {{(2p)}^{3}}\]
C.                 \[\sigma {{(1s)}^{2}}{{\sigma }^{*}}{{(1s)}^{2}}\sigma {{(2s)}^{2}}{{\sigma }^{*}}{{(2p)}^{2}}\pi {{(2p)}^{4}}\]
D.                 \[\sigma {{(1s)}^{2}}{{\sigma }^{*}}{{(1s)}^{2}}\sigma {{(2s)}^{2}}{{\sigma }^{*}}{{(2s)}^{2}}\sigma {{(2p)}^{2}}\pi {{(2p)}^{2}}\]
Answer» B.                         \[\sigma {{(1s)}^{2}}{{\sigma }^{*}}{{(1s)}^{2}}\sigma {{(2s)}^{2}}{{\sigma }^{*}}{{(2s)}^{2}}\sigma {{(2p)}^{1}}\pi {{(2p)}^{3}}\]
3448.

The atomicity of phosphorus is X and the \[P\hat{P}P\] bond angle in the molecule is Y. What are X and Y             [EAMCET 2003]

A.                 X = 4, Y = \[{{90}^{o}}\] 
B.                 X = 4, Y = \[{{60}^{o}}\]
C.                 X = 3, Y = \[{{120}^{o}}\]              
D.                 X = 2, Y = \[{{180}^{o}}\]
Answer» C.                 X = 3, Y = \[{{120}^{o}}\]              
3449.

How many bonding electron pairs are there in white phosphorous                                           [MP PET 2003]

A.                 6             
B.                 12
C.                 4             
D.                 8
Answer» B.                 12
3450.

Which of the following is paramagnetic  [MP PET 2003]

A.                 \[O_{2}^{+}\]   
B.                         \[C{{N}^{-}}\]
C.                 CO         
D.                 \[{{N}_{2}}\]
Answer» B.                         \[C{{N}^{-}}\]