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.

4051.

A solution of \[CaC{{l}_{2}}\] is  \[0.5\,mol/litre\], then the moles of chloride ion in \[500ml\] will be     [MP PMT 1986]

A.                 0.25       
B.                 0.50
C.                 0.75       
D.                 1.00
Answer» C.                 0.75       
4052.

Essential quantity of ammonium sulphate taken for preparation of 1 molar solution in 2 litres is

A.                 \[132\,gm\]            
B.             \[264\,gm\]
C.                 \[198\,gm\]            
D.                 \[212\,gm\]
Answer» C.                 \[198\,gm\]            
4053.

The normality of 10 lit. volume hydrogen peroxide is  [Kerala CET (Med.) 2003]

A.                 0.176     
B.                 3.52
C.                 1.78       
D.                 0.88
E.                 17.8
Answer» D.                 0.88
4054.

\[10ml\] of conc. \[{{H}_{2}}S{{O}_{4}}\] (18 molar) is diluted to 1 litre. The approximate strength of dilute acid could be             [JIPMER 1991]

A.                 0.18 N   
B.                 0.09 N
C.                 0.36 N   
D.                 1800 N
Answer» D.                 1800 N
4055.

How many grams of \[NaOH\] will be required to neutralize 12.2 grams of benzoic acid            [MP PMT 1999]

A.                 \[40\,gms\]             
B.                 \[4gms\]
C.                 \[16gms\]               
D.                 \[12.2\,gms\]
Answer» C.                 \[16gms\]               
4056.

 On dissolving 1 mole of each of the following acids in 1 litre water, the acid which does not give a solution of strength \[1N\] is                                        [MP PET 1993]

A.                 \[HCl\]    
B.                 Perchloric acid
C.                 \[HN{{O}_{3}}\] 
D.                 Phosphoric acid
Answer» E.
4057.

To neutralise completely 20 mL of 0.1 M aqueous solution of phosphorous acid \[({{H}_{3}}P{{O}_{3}}),\] the volume of 0.1 M aqueous KOH solution required is                               [AIEEE 2004]

A.                 40 mL    
B.                 20 mL
C.                 10 mL    
D.                 60 mL
Answer» B.                 20 mL
4058.

\[20\,ml\] of \[HCl\] solution requires \[19.85\,ml\] of \[0.01\,M\,NaOH\] solution for complete neutralization. The molarity of \[HCl\] solution is                                                [MP PMT 1999]

A.                 0.0099  
B.                 0.099
C.                 0.99       
D.                 9.9
Answer» B.                 0.099
4059.

1 Molar solution contains  [DPMT 2002]

A.                 1000g of solute    
B.                 1000g of solvent
C.                 1 litre of solvent    
D.             1 litre of solution
Answer» E.
4060.

If \[5.0gm\] of \[BaC{{l}_{2}}\] is present in \[{{10}^{6}}gm\] solution, the concentration is

A.                 1 ppm    
B.                 5 ppm
C.                 50 ppm 
D.                 1000 ppm
Answer» C.                 50 ppm 
4061.

The normality of 10% (weight/volume) acetic acid is [CPMT 1983]

A.                 1 N         
B.                 10 N
C.                 1.7 N     
D.                 0.83 N
Answer» D.                 0.83 N
4062.

Normality of \[2M\] sulphuric acid is                 [AIIMS 1991, 92; Pb. CET 2002]

A.                 \[2N\]     
B.             \[4N\]
C.                 \[N/2\]    
D.                 \[N/4\]
Answer» C.                 \[N/2\]    
4063.

Molar concentration \[(M)\] of any solution =

A.                 \[\frac{\text{No}\text{. of moles of solute}}{\text{Volume of solution in litre}}\]
B.                 \[\frac{\text{No}\text{. of gram equivalent of solute}}{\text{Volume of solution in litre}}\]
C.                 \[\frac{\text{No}\text{. of moles of solute}}{\text{Mass of solvent in kg}}\]
D.                 \[\frac{\text{No}\text{. of moles of any constituent}}{\text{Total no}\text{. of moles of all constituents}}\]
Answer» B.                 \[\frac{\text{No}\text{. of gram equivalent of solute}}{\text{Volume of solution in litre}}\]
4064.

When \[6gm\] urea dissolve in \[180\,gm\,{{H}_{2}}O\]. The mole fraction of urea is                                               [CPMT 1988]

A.                 \[\frac{10}{10.1}\]               
B.                 \[\frac{10.1}{10}\]
C.                 \[\frac{10.1}{0.1}\]              
D.                 \[\frac{0.1}{10.1}\]
Answer» E.
4065.

Molarity of 4% \[NaOH\] solution is                   [EAMCET 1987]

A.                 \[0.1M\]
B.                 \[0.5M\]
C.                 \[0.01M\]               
D.                 \[1.0M\]
Answer» E.
4066.

\[10N\] and  \[\frac{1}{10}N\] solution is called

A.                 Decinormal and decanormal solution
B.                 Normal and decinormal solution
C.                 Normal and decanormal solution
D.                 Decanormal and decinormal solution
Answer» E.
4067.

In octahedral holes  (voids)

A.                 A simple triangular void surrounded by  four spheres
B.                 A bi-triangular void surrounded  by four spheres              
C.                 A bi-triangular void surrounded by six spheres
D.                 A bi-triangular void surrounded by eight spheres
Answer» D.                 A bi-triangular void surrounded by eight spheres
4068.

\[CsBr\] crystal has \[bcc\] structure. It has an edge length of \[4.3\,\,{AA}.\] The shortest interionic distance between \[C{{s}^{+}}\] and \[B{{r}^{-}}\]ions is     [IIT 1995]

A. \[1.86\,\,{AA}\]             
B. \[3.72\,\,{AA}\]
C. \[4.3\,\,{AA}\]
D. \[7.44\,\,{AA}\]
Answer» C. \[4.3\,\,{AA}\]
4069.

For an ionic crystal of the general formula \[AX\] and coordination number 6, the value of radius ratio will be [MP PMT 1993]

A.                 Greater than 0.73
B.                 In between 0.73 and 0.41
C.                 In between 0.41 and 0.22
D.                 Less than 0.22
Answer» C.                 In between 0.41 and 0.22
4070.

The number of spheres contained (i) in one body centred cubic unit cell and (ii) in one face centred cubic unit cell, is

A.                 In (i) 2 and in (ii) 4           
B.                 In (i) 3 and in (ii) 2
C.                 In (i) 4 and in (ii) 2           
D.                 In (i) 2 and in (ii) 3
Answer» B.                 In (i) 3 and in (ii) 2
4071.

If an atom is present in the centre of the cube, the participation of that atom per unit cell is

A.                 \[\frac{1}{4}\]   
B.                 1
C.                 \[\frac{1}{2}\]   
D.                 \[\frac{1}{8}\]
Answer» C.                 \[\frac{1}{2}\]   
4072.

An element occurring in the \[bcc\] structure has \[12.08\times {{10}^{23}}\] unit cells. The total number of atoms of the element in these cells will be      [MP PET 1994]

A.                 \[24.16\times {{10}^{23}}\]         
B.                 \[36.18\times {{10}^{23}}\]
C.                 \[6.04\times {{10}^{23}}\]           
D.                 \[12.08\times {{10}^{23}}\]
Answer» B.                 \[36.18\times {{10}^{23}}\]
4073.

In face centred cubic unit cell edge length is        [DPMT 2005]

A.                 \[\frac{4}{\sqrt{3}}r\]    
B.                 \[\frac{4}{\sqrt{2}}r\]
C.                 \[2r\]    
D.                 \[\frac{\sqrt{3}}{2}r\]
Answer» C.                 \[2r\]    
4074.

A metal has bcc structure and the edge length of its unit cell is\[3.04{AA}\]. The volume of the unit cell in \[c{{m}^{3}}\] will be [Orrisa JEE 2005]

A. \[1.6\times {{10}^{21}}c{{m}^{3}}\]        
B. \[2.81\times {{10}^{-23}}c{{m}^{3}}\]
C. \[6.02\times {{10}^{-23}}c{{m}^{3}}\]    
D. \[6.6\times {{10}^{-24}}c{{m}^{3}}\]
Answer» C. \[6.02\times {{10}^{-23}}c{{m}^{3}}\]    
4075.

In orthorhombic, the value of \[a,\,b\] and \[c\] are respectively \[4.2{AA},\,8.6{AA}\] and \[8.3{AA}\]. given the molecular mass of the solute is \[155\,gm\,mo{{l}^{-1}}\] and that of density is \[3.3\,gm/cc\], the number of formula units per unit cell is [Orrisa JEE 2005]

A. 2             
B. 3
C. 4             
D. 6
Answer» D. 6
4076.

The edge of unit cell of FCC \[Xe\] crystal is \[620\,pm\]. The radius of \[Xe\] atom is      [MP PET 2004]

A.                 219.25 Pm          
B.                 235.16 Pm
C.                 189.37 Pm          
D.                 209.87 Pm
Answer» B.                 235.16 Pm
4077.

It the distance between \[N{{a}^{+}}\] and \[C{{l}^{-}}\] ions in sodium chloride crystal is \[X\]pm, the length of the edge of the unit cell is    [KCET 2004]

A.                 4X pm  
B.                 X/4 pm
C.                 X/2 pm
D.                 2X pm
Answer» E.
4078.

The number of atoms/molecules contained in one body centered cubic unit cell is

A.                 1             
B.                 2
C.                 4             
D.                 6
Answer» C.                 4             
4079.

If the value of ionic radius ratio \[\left( \frac{{{r}_{c}}}{{{r}_{a}}} \right)\] is 0.52 in an ionic compound, the geometrical arrangement of ions in crystal is

A.                 Tetrahedral       
B.                 Planar
C.                 Octahedral         
D.                 Pyramidal
Answer» D.                 Pyramidal
4080.

The number of atoms/molecules contained in one face  centred cubic unit cell of a monoatomic substance is [CPMT 1989, 94; CBSE PMT 1989, 96; NCERT 1990; MP PET 1993; KCET 1999]

A.                 1             
B.                 2
C.                 4             
D.                 6
Answer» D.                 6
4081.

Potassium fluoride has \[NaCl\] type structure. What is the distance between \[{{K}^{+}}\] and \[{{F}^{-}}\] ions if cell edge is \[a\,\,cm\]

A.                 \[2a\,\,cm\]
B.                 \[a/2\,\,cm\]
C.                 \[4a\,\,cm\]      
D.                 \[a/4\,\,cm\]
Answer» C.                 \[4a\,\,cm\]      
4082.

Potassium has a \[bcc\] structure with nearest neighbour distance \[4.52\,\,{AA}.\] Its atomic weight is 39. Its density (in \[kg\,\,{{m}^{-3}}\])  will be        [AIIMS 1991]

A. 454        
B. 804
C. 852        
D. 908
Answer» E.
4083.

Sodium metal crystallizes as a body centred cubic lattice with the cell edge 4.29 Å. What is the radius of sodium atom [AIIMS 1999]

A.                 \[1.857\times {{10}^{-8}}cm\]   
B.                 \[2.371\times {{10}^{-7}}cm\]
C.                 \[3.817\times {{10}^{-8}}cm\]   
D.                 \[9.312\times {{10}^{-7}}cm\]
Answer» B.                 \[2.371\times {{10}^{-7}}cm\]
4084.

In a face centred cubic cell, an atom at the face contributes to the unit cell [Karnataka (Engg./Med.) 2000; AFMC 2001]

A.                 1/4 part               
B.                 1/8 part
C.                 1 part   
D.                 1/2 part
Answer» E.
4085.

The interionic distance for cesium chloride crystal will be  [MP PET 2002]

A.                 a            
B.                 \[\frac{a}{2}\]
C.                 \[\frac{\sqrt{3}a}{2}\]   
D.                 \[\frac{2a}{\sqrt{3}}\]
Answer» D.                 \[\frac{2a}{\sqrt{3}}\]
4086.

In the Bragg?s equation  for diffraction of X-rays, n represents for      [MP PMT 2000]

A.                 Quantum number          
B.                 An integer
C.                 Avogadro?s numbers     
D.                 Moles
Answer» C.                 Avogadro?s numbers     
4087.

How many unit cells are present in a cube-shaped ideal crystal of \[NaCl\] of mass \[1.00\,g\] [Atomic masses: \[Na=23,\,Cl=35.5]\]       [AIEEE 2003]

A.                 \[2.57\times {{10}^{21}}\] unit cells        
B.                 \[5.14\times {{10}^{21}}\] unit cells
C.                 \[1.28\times {{10}^{21}}\] unit cells        
D.                 \[1.71\times {{10}^{21}}\] unit cells
Answer» B.                 \[5.14\times {{10}^{21}}\] unit cells
4088.

The number of unit cells in \[58.5\,g\] of \[NaCl\] is nearly [MP PMT 2000, 01]

A.                 \[6\times {{10}^{20}}\] 
B.                 \[3\times {{10}^{22}}\]
C.                 \[1.5\times {{10}^{23}}\]             
D.                 \[0.5\times {{10}^{24}}\]
Answer» D.                 \[0.5\times {{10}^{24}}\]
4089.

The number of atoms in \[100\,\,g\] of an \[fcc\] crystal with density \[d=10\,\,g/c{{m}^{3}}\] and cell edge equal to \[100\,\,pm,\]is equal to              [CBSE PMT 1994; KCET 2002]

A.                 \[4\times {{10}^{25}}\] 
B.                 \[3\times {{10}^{25}}\]
C.                 \[2\times {{10}^{25}}\]
D.                 \[1\times {{10}^{25}}\]
Answer» B.                 \[3\times {{10}^{25}}\]
4090.

In the crystals of which of the following ionic compounds would you expect maximum distance between centres of cations and anions          [CBSE PMT 1998]

A.                 \[LiF\]  
B.                 \[CsF\]
C.                 \[CsI\]  
D.                 \[LiI\]
Answer» D.                 \[LiI\]
4091.

The formula for determination of density of unit cell is

A.                 \[\frac{{{a}^{3}}\times {{N}_{o}}}{N\times M}g\,c{{m}^{-3}}\]   
B.                 \[\frac{N\times M}{{{a}^{3}}\times {{N}_{o}}}g\,c{{m}^{-3}}\]
C.                 \[\frac{{{a}^{3}}\times M}{N\times {{N}_{o}}}g\,c{{m}^{-3}}\]   
D.                 \[\frac{M\times {{N}_{o}}}{{{a}^{3}}\times N}g\,c{{m}^{-3}}\]
Answer» C.                 \[\frac{{{a}^{3}}\times M}{N\times {{N}_{o}}}g\,c{{m}^{-3}}\]   
4092.

If \[{{P}^{o}}\] and \[P\] are the vapour pressure of a solvent and its solution respectively  and \[{{N}_{1}}\] and \[{{N}_{2}}\] are the mole fractions of the solvent and solute respectively, then correct relation is

A.                 \[P={{P}^{o}}{{N}_{1}}\]             
B.                 \[P={{P}^{o}}{{N}_{2}}\]
C.                 \[{{P}^{o}}=P\,{{N}_{2}}\]           
D.                 \[P={{P}^{o}}\,({{N}_{1}}/{{N}_{2}})\]
Answer» B.                 \[P={{P}^{o}}{{N}_{2}}\]
4093.

An aqueous solution of methanol in water has vapour pressure                                    [MNR 1986]

A.                 Equal to that of water
B.                 Equal to that of methanol
C.                 More than that of water
D.                 Less than that of water
Answer» D.                 Less than that of water
4094.

When mercuric iodide is added to the aqueous solution of potassium iodide, the      [IIT 1987]

A.                 Freezing point is raised
B.             Freezing point is lowered
C.                 Freezing point does not change
D.                 Boiling point does not change
Answer» C.                 Freezing point does not change
4095.

Vapour pressure of a solution is [EAMCET 1988; MP PET 1994]

A.                 Directly proportional to the mole fraction of the solvent
B.                 Inversely proportional to the mole fraction of the solute
C.                 Inversely proportional to the mole fraction of the solvent
D.                 Directly proportional to the mole fraction of the solute
Answer» B.                 Inversely proportional to the mole fraction of the solute
4096.

A dry air is passed through the solution, containing the 10 gm of solute and 90 gm of water and then it pass through pure water. There is the depression in weight of solution wt by 2.5 gm and in weight of pure solvent by 0.05 gm. Calculate the molecular weight of solute    [Kerala CET 2005]

A.                 50          
B.             180
C.                 100        
D.                 25
E.                 51
Answer» D.                 25
4097.

Determination of correct molecular mass from Raoult's law is applicable to

A.                 An electrolyte in solution
B.             A non-electrolyte in a dilute solution
C.                 A non-electrolyte in a concentrated solution
D.                 An electrolyte in a liquid solvent
Answer» C.                 A non-electrolyte in a concentrated solution
4098.

If two substances \[A\] and \[B\] have \[P_{A}^{0}:\,P_{B}^{0}=1\,:\,2\] and have mole fraction in solution 1 : 2 then mole fraction of \[A\] in vapours                                  [DPMT 2005]

A.                 0.33       
B.             0.25
C.                 0.52       
D.                 0.2
Answer» E.
4099.

The vapour pressure of a solvent A is 0.80 atm  When a non-volatile substance B is added to this solvent its vapour pressure drops to 0.6 atm. What is mole fraction of B in solution                                 [MP PMT 2000, 01]

A.                 0.25       
B.                 0.50
C.                 0.75       
D.                 0.90
Answer» B.                 0.50
4100.

For a dilute solution, Raoult's law states that [CPMT 1987; BHU 1979; IIT 1985; MP PMT 2004; MNR 1988; AMU 2002]

A.                 The lowering of vapour pressure is equal to mole fraction of solute
B.                 The relative lowering of vapour pressure is equal to mole fraction of solute
C.                 The relative lowering of vapour pressure is proportional to the amount of solute in solution
D.                 The vapour pressure of the solution is equal to the mole fraction of solvent
Answer» C.                 The relative lowering of vapour pressure is proportional to the amount of solute in solution