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.

1101.

In the radioactive decay \[_{92}{{X}^{232}}\to {{\,}_{89}}{{Y}^{220}}\], how many \[\alpha \] and \[\beta \]- particles are ejected from \[X\] to form \[Y\] [CBSE 1999]

A.                 \[3\alpha \] and \[3\beta \]        
B.                 \[5\alpha \] and \[3\beta \]
C.                 \[3\alpha \] and \[5\beta \]        
D.                 \[5\alpha \] and \[5\beta \]
Answer» B.                 \[5\alpha \] and \[3\beta \]
1102.

The half-life of \[C{{o}^{60}}\] is  7 years. If one \[gm\] of it decays, the amount of the substance remaining after 28 years  is [EAMCET 1992]

A.                 \[0.25\,gm\]      
B.                 \[0.125\,gm\]
C.                 \[0.0625\,gm\] 
D.                 \[0.50\,gm\]
Answer» D.                 \[0.50\,gm\]
1103.

Half-life of a radioactive substance is 120 days. After 480 days, 4 gm will be reduced to   [EAMCET 1993]

A.                 2             
B.                 1
C.                 0.5         
D.                 0.25
Answer» E.
1104.

The half-life of radium (226) is 1620 years. The time taken to convert 10 grams of radium to 1.25 grams is [MP PET 1994; UPSEAT 2001]

A.                 810 years            
B.                 1620 years
C.                 3240 years          
D.                 4860 years
Answer» E.
1105.

\[8gm\] of the radioactive isotope, cesium-137 were collected on February 1 and kept in a sealed tube. On July 1, it was found that only \[0.25gm\] of it remained. So the half-life period of the isotope is            [KCET 1989]

A.                 37.5 days            
B.                 30 days
C.                 25 days
D.                 50 days
Answer» C.                 25 days
1106.

If the half-life period of a first order reaction is 138.6 minutes, then the value of decay constant for the reaction will be [MH CET 1999]

A.                 5 minute?1          
B.                 0.5 minute?1
C.                 0.05 minute?1    
D.                 0.005 minute?1
Answer» E.
1107.

The binding energy of \[_{8}{{O}^{16}}\] is 127 MeV. Its binding energy per neutron is                                   [MH CET 1999]

A.                 0.794 MeV          
B.                 1.5875 MeV
C.                 7.94 MeV            
D.                 15.875 MeV
Answer» D.                 15.875 MeV
1108.

A radioactive isotope has a half-life of 10 days. If today \[125\,mg\]is left over, what  was its original weight 40 days earlier                [KCET 2005]

A.                 2g          
B.                 600 mg
C.                 1 g         
D.                 1.5 g
Answer» B.                 600 mg
1109.

The half-life of \[_{6}{{C}^{14}}\] if its K or \[\lambda \] is \[2.31\times {{10}^{-4}}\] is [BHU 1999]

A.                 \[2\times {{10}^{2}}yrs\]             
B.                 \[3\times {{10}^{3}}yrs\]
C.                 \[3.5\times {{10}^{4}}yrs\]          
D.                 \[4\times {{10}^{3}}yrs\]
Answer» C.                 \[3.5\times {{10}^{4}}yrs\]          
1110.

What kind of radioactive decay does not lead to the formation of a daughter nucleus that is an isobar of the parent nucleus                                                [JIPMER 1999]

A.                 a-rays  
B.                 b-rays
C.                 Positron              
D.                 Electron capture
Answer» B.                 b-rays
1111.

Half-life period of a metal is 20 days. What fraction of metal does remain after 80 days   [BHU 1996]

A.                 1             
B.                 1/16
C.                 1/4        
D.                 1/8
Answer» C.                 1/4        
1112.

What is the value of decay constant of a compound having half-life time \[{{T}_{1/2}}=2.95\] days            [AFMC 1997]

A.                 \[2.7\times {{10}^{-5}}{{s}^{-1}}\]           
B.                 \[2.7\times {{10}^{6}}{{s}^{-1}}\]
C.                 \[2.7\times {{10}^{-6}}{{s}^{-1}}\]           
D.                 \[3\times {{10}^{5}}{{s}^{-1}}\]
Answer» D.                 \[3\times {{10}^{5}}{{s}^{-1}}\]
1113.

In a radioactive decay, an emitted electron comes from [CBSE 1994; Pb. PET 1999]

A.                 Nucleus of the atom
B.                 Inner orbital of the atom
C.                 Outermost orbit of the atom
D.                 Orbit having principal quantum number one
Answer» B.                 Inner orbital of the atom
1114.

The half-life of \[_{38}^{90}Sr\] is 20 years. If its sample having initial activity of 8000 dis/min is taken, what would be its activity after 80 years                                     [MP PMT 2000]

A.                 500 dis/min        
B.                 800 dis/min
C.                 1000 dis/min     
D.                 1600 dis/min
Answer» B.                 800 dis/min
1115.

What will be half-life period of a nucleus if at the end of 4.2 days, \[N=0.798\,{{N}_{0}}\]              [MP PET 2000]

A.                 15 days
B.                 10 days
C.                 12.83 days          
D.                 20 days
Answer» D.                 20 days
1116.

If 2.0 g of a radioactive substance has half-life of 7 days. The half-life of 1 g sample is      [MP PET 2000]

A.                 7 days  
B.                 14 days
C.                 28 days
D.                 35 days
Answer» B.                 14 days
1117.

If 12 g of sample is taken, and 6 g of a sample decays in 1 hr. The amount of sample showing decay in next hour is [AMU (Engg.) 1999]

A.                 3 g
B.                 1 g
C.                 2 g         
D.                 6 g
Answer» B.                 1 g
1118.

The half-life of a radio isotope is 20 hours. After 60 hours, how much amount will be left behind [MP PMT 1991]

A.                 1/8        
B.                 1/4
C.                 1/3        
D.                 ½
Answer» B.                 1/4
1119.

The atomic mass of an element is 12.00710 amu. If there are 6 neutrons in the nucleus of the atom of the element, the binding energy per nucleon of the nucleus will be [MP PMT 1999]

A.                 7.64 MeV            
B.                 76.4 MeV
C.                 764 MeV             
D.                 0.764 MeV (\[{{e}^{-}}\]=0.00055 amu, \[p\]=1.00814 amu, \[n\]=1.00893 amu)
Answer» B.                 76.4 MeV
1120.

During a negative \[\beta \]-decay          [MNR 1990; IIT 1985]

A.                 An atomic electron is ejected
B.                 An electron which is already present within the nucleus is ejected
C.                 A neutron in the nucleus decays emitting an electron
D.                 A part of the binding energy of the nucleus is converted into an electron
Answer» D.                 A part of the binding energy of the nucleus is converted into an electron
1121.

The decay constant of a radioactive sample is \['\lambda '\]. The half-life and mean life of the sample are respectively [MNR 1990; IIT 1989]

A.                 \[\frac{1}{\lambda },\,\frac{\ln \,2}{\lambda }\]                
B.                 \[\frac{\ln \,2}{\lambda },\,\frac{1}{\lambda }\]
C.                 \[\lambda \,\ln \,2,\,\frac{1}{\lambda }\]             
D.                 \[\frac{\lambda }{\ln \,2},\,\frac{1}{\lambda }\]
Answer» C.                 \[\lambda \,\ln \,2,\,\frac{1}{\lambda }\]             
1122.

A freshly prepared radioactive source of half-life 2 hours emits radiations of intensity which is 64 times the permissible safe level. The minimum time after which it would be possible to work safely with this source is [IIT 1988]

A.                 6 hours
B.                 12 hours
C.                 24 hours              
D.                 128 hours
Answer» C.                 24 hours              
1123.

Radioactivity of a radioactive element remains \[\frac{1}{10}\] of the original radioactivity after 2.303 seconds. The half-life period is                                               [CPMT 1985]

A.                 2.303    
B.                 0.2303
C.                 0.693    
D.                 0.0693
Answer» D.                 0.0693
1124.

A radioactive substance has \[{{t}_{1/2}}\]60 minutes. After 3 hrs, what percentage of radioactive substance will remain [BHU 1995]

A.                 50%       
B.                 75%
C.                 25%       
D.                 12.5%
Answer» E.
1125.

\[10gm\] of a radioactive substance is reduced to \[1.25gm\] after 15 days. Its \[1kg\] mass will reduce (in how many days) to \[500gm\] in

A.                 500 days              
B.                 125 days
C.                 25 days
D.                 5 days
Answer» E.
1126.

\[{{C}^{14}}\] is radioactive. The activity and the disintegration product are

A.                 \[\beta \]-active,  \[_{7}{{N}^{14}}\]      
B.                  \[\alpha \]- active,  \[_{7}B{{e}^{10}}\]
C.                 Positron active, \[_{5}{{B}^{14}}\]           
D.                  \[\gamma \]- active,  \[{{C}^{14}}\]
Answer» B.                  \[\alpha \]- active,  \[_{7}B{{e}^{10}}\]
1127.

The half-life of a radionuclide is 69.3 minutes. What is its average life (in minutes)

A.                 100        
B.                 \[{{10}^{-2}}\]
C.                 \[{{(69.3)}^{-1}}\]
D.                 \[0.693\times 69.3\]
Answer» B.                 \[{{10}^{-2}}\]
1128.

The half-life period of a radioactive substance is 8 years. After 16 years, the mass of the substance will reduce from starting \[16.0g\] to         [MP PMT 1999]

A.                 \[8.0\,g\]            
B.                 \[6.0\,g\]
C.                 \[4.0\,g\]
D.                 \[2.0\,g\]
Answer» D.                 \[2.0\,g\]
1129.

In radioactive decay which one of the following moves the fastest           [MP PET/PMT 1998]

A.                 \[\alpha \]-particle         
B.                 \[\beta \]-particle
C.                 \[\gamma \]-rays            
D.                 Positron
Answer» D.                 Positron
1130.

In a catalytic conversion of \[{{N}_{2}}\] to \[N{{H}_{3}}\] by Haber's process, the rate of reaction was expressed as change in the concentration of ammonia per time is \[40\times {{10}^{-3}}\,mol\,litr{{e}^{-1}}{{s}^{-1}}\]. If there are no side reaction, the rate of the reaction as expressed in terms of hydrogen is     (in mol \[litr{{e}^{-1}}{{s}^{-1}}\])

A.                 \[60\times {{10}^{-3}}\]               
B.                 \[20\times {{10}^{-3}}\]
C.                 1.200    
D.                 \[10.3\times {{10}^{-3}}\]
Answer» B.                 \[20\times {{10}^{-3}}\]
1131.

The concentration of a reactant decreases from 0.2 M to 0.1 M in 10 minutes. The rate of the reaction is

A.                 0.01 M    
B.                 \[{{10}^{-2}}\]
C.                 0.01 mol \[d{{m}^{-3}}\,{{\min }^{-1}}\]              
D.                 1 mol \[d{{m}^{-3}}\,{{\min }^{-1}}\]
Answer» D.                 1 mol \[d{{m}^{-3}}\,{{\min }^{-1}}\]
1132.

When a reaction is progressing

A.                 The rate of the reaction goes on increasing
B.                 The concentration of the products goes on decreasing
C.                 The concentration of the reactants goes on decreasing
D.                 The reaction rate always remains constant
Answer» D.                 The reaction rate always remains constant
1133.

The rate of chemical reaction at constant temperature is proportional to

A.                 The amount of products formed
B.                 The product of masses of the reactants
C.                 The product of the molar concentration of the reactants
D.                 The mean free path of the reaction
Answer» D.                 The mean free path of the reaction
1134.

If doubling the concentration of a reactant `A' increases the rate 4 times and tripling the concentration of `A' increases the rate 9 times, the rate is proportional to    [AIIMS 1991]

A.                 Concentration of `A'
B.                 Square of concentration of `A'
C.                 Under root of the  concentration of `A'
D.                 Cube of concentration of `A'
Answer» C.                 Under root of the  concentration of `A'
1135.

A first order reaction complete its 10% in 20 minutes then time required to complete its 19% is  [Kerala CET  2005]

A.                 30 minutes         
B.                 40 minutes
C.                 50 minutes         
D.                 38 minutes
E.                 45 minutes
Answer» C.                 50 minutes         
1136.

For the reaction\[2{{N}_{2}}{{O}_{5(g)}}\to 4N{{O}_{2(g)}}+{{O}_{2(g)}}\], if concentration of \[N{{O}_{2}}\] in 100 seconds is increased by \[5.2\times {{10}^{-3}}m\]. Then rate of reaction will be [Kerala CET  2005]

A.                 \[1.3\times {{10}^{-5}}m{{s}^{-1}}\]       
B.                 \[5\times {{10}^{-4}}m{{s}^{-1}}\]
C.                 \[7.6\times {{10}^{-4}}m{{s}^{-1}}\]       
D.                 \[2\times {{10}^{-3}}m{{s}^{-1}}\]
E.                 \[2.5\times {{10}^{-5}}m{{s}^{-1}}\]
Answer» B.                 \[5\times {{10}^{-4}}m{{s}^{-1}}\]
1137.

Rate of reaction                                                [Pb. CET 2004]

A.                 Decreases with increase in temperature
B.                 Increases with increase in temperature
C.                 May increase or decrease with increase in temperature               
D.                 Does not depend on temperature
Answer» D.                 Does not depend on temperature
1138.

The rate law for the reaction                 \[RCl+NaOH(aq)\to ROH+NaCl\] is given by Rate \[={{K}_{1}}[RCl]\]. The rate of the reaction will be            [IIT 1988]

A.                 Doubled on doubling the concentration of sodium hydroxide
B.                 Halved on reducing the concentration of alkyl halide to one half
C.                 Decreased on increasing the temperature of the reaction
D.                 Unaffected by increasing the temperature of the reaction
Answer» C.                 Decreased on increasing the temperature of the reaction
1139.

In which of the following cases, does the reaction go farthest to completion                                       [UPSEAT 2001]

A.                 \[K={{10}^{3}}\]               
B.                 \[K={{10}^{-2}}\]
C.                 \[K=10\]              
D.                 \[K=1\]
Answer» B.                 \[K={{10}^{-2}}\]
1140.

The velocity constant of a reaction at 290 K was found to be \[3.2\times {{10}^{-3}}\]. At 300 K it will be  [MP PMT 2004]

A.                 \[1.28\times {{10}^{-2}}\]            
B.                 \[6.4\times {{10}^{-3}}\]
C.                 \[9.6\times {{10}^{-3}}\]              
D.                 \[3.2\times {{10}^{-4}}\]
Answer» C.                 \[9.6\times {{10}^{-3}}\]              
1141.

A reaction is catalysed by  ?X ?. Here ?X ? [MP PMT 2003]

A.                 Decreases the rate constant of reaction
B.                 Does not affect the equilibrium constant of reaction
C.                 Decreases the enthalpy of reaction
D.                 Decreases the activation energy
Answer» E.
1142.

Which reaction characteristics are changing by the addition of a catalyst to a reaction at constant temperature (i)            Activation energy            (ii)           Equilibrium constant (iii)          Reaction entropy             (iv)         Reaction enthalpy [DCE 2003]

A.                 (i) Only
B.                 (iii) only
C.                 (i) and I(ii) only 
D.                 All of these
Answer» B.                 (iii) only
1143.

Which of the following statements is false in relation to enzyme                                               [MP PMT 2003]

A.                 pH affects their functioning
B.                 Temperature affects their functioning
C.                 They always increase activation energy
D.                 Their reactions are specific
Answer» D.                 Their reactions are specific
1144.

The rate of a reaction     [CPMT 1973]

A.                 Increases with increase in temperature
B.                 Decreases with increase in temperature
C.                 Does not depend on temperature
D.                 Does not depend on concentration
Answer» B.                 Decreases with increase in temperature
1145.

The temperature coefficient of a reaction is

A.                 Specific reaction rate at \[{{25}^{o}}C\]
B.                 Rate of the reaction at \[{{100}^{o}}C\]
C.                 Ratio of the rate constants at temperatures \[{{35}^{o}}C\] and \[{{25}^{o}}C\]
D.                 Ratio of the rate constants at two temperatures differing by \[{{1}^{o}}C\]
Answer» D.                 Ratio of the rate constants at two temperatures differing by \[{{1}^{o}}C\]
1146.

Velocity constant of a reaction at 290 K was found to be\[3.2\times {{10}^{-3}}\]. At 310 K it will be about              [KCET 1989, 91]

A.                 \[1.28\times {{10}^{-2}}\]            
B.                 \[9.6\times {{10}^{-3}}\]
C.                 \[6.4\times {{10}^{-3}}\]              
D.                 \[3.2\times {{10}^{-4}}\]
Answer» B.                 \[9.6\times {{10}^{-3}}\]
1147.

The rate of a reaction is doubled for every \[{{10}^{o}}\] rise in temperature. The increase in reaction rate as a result of temperature rise from \[{{10}^{o}}\] to \[{{100}^{o}}\] is [KCET 1993; Kerala PET 2002; MP PET 2003]

A.                 112        
B.                 512
C.                 400        
D.                 614
Answer» C.                 400        
1148.

The temperature coefficient for reaction in which food deteriorates is 2. Then food deteriorates ...... times as rapidly at \[{{25}^{o}}C\] as it does at \[{{5}^{o}}C\]

A.                 Two      
B.                 Four
C.                 Six         
D.                 Twenty
Answer» C.                 Six         
1149.

The velocity of the chemical reaction doubles every \[{{10}^{o}}C\] rise of temperature. If the temperature is raised by \[{{50}^{o}}C\], the velocity of the reaction increases to about

A.                 32 times              
B.                 16 times
C.                 20 times              
D.                 50 times
Answer» B.                 16 times
1150.

The rate of disappearance of \[S{{O}_{2}}\] in the reaction \[2S{{O}_{2}}+{{O}_{2}}\to 2S{{O}_{3}}\] is \[1.28\times {{10}^{-3}}g/sec\] then the rate of formation of \[S{{O}_{3}}\] is                                    [JIPMER 2002]

A.                 \[0.64\times {{10}^{-3}}g/sec\] 
B.                 \[0.80\times {{10}^{-3}}g/sec\]
C.                 \[1.28\times {{10}^{-3}}g/sec\] 
D.                 \[1.60\times {{10}^{-3}}g/sec\]
Answer» D.                 \[1.60\times {{10}^{-3}}g/sec\]