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.

9451.

50 gm ice at 0°C in insulator vessel, 50g water of 100°C is mixed in it, then final temperature of the mixture is (neglect the heat loss)           [RPMT 2001]

A.            10°C        
B.            \[0{}^\circ <<{{T}_{m}}<20{}^\circ C\]
C.            20°C        
D.            Above 20°C
Answer» B.            \[0{}^\circ <<{{T}_{m}}<20{}^\circ C\]
9452.

A tuning fork sounded together with a tuning fork of frequency 256 emits two beats. On loading the tuning fork of frequency 256, the number of beats heard are 1 per second. The frequency of tuning fork is [NCERT 1975, 81; MP PET 1985]

A.            257
B.            258
C.            256
D.            254
Answer» E.
9453.

In a parallel plate condenser, the radius of each circular plate is \[12cm\] and the distance between the plates is\[5mm\]. There is a glass slab of \[3mm\] thick and of radius \[12cm\] with dielectric constant 6 between its plates. The capacity of the condenser will be

A.         \[144\times {{10}^{-9}}F\]
B.         \[40pF\]
C.         \[160pF\] 
D.            \[1.44\mu F\]
Answer» D.            \[1.44\mu F\]
9454.

A body has ? 80 micro coulomb of charge. Number of additional electrons in it will be          [MP PMT 2003]

A.            \[8\times {{10}^{-5}}\]     
B.            \[80\times {{10}^{-17}}\]
C.            \[5\times {{10}^{14}}\]    
D.            \[1.28\times {{10}^{-17}}\]
Answer» D.            \[1.28\times {{10}^{-17}}\]
9455.

Assertion :       The induced e.m.f. and current will be same in two identical loops of copper and aluminium, when rotated with same speed in the same magnetic field. Reason      :   Induced e.m.f. is proportional to rate of change of magnetic field while induced current depends on resistance of wire.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» F.
9456.

 A gas at NTP is suddenly compressed to one-fourth of its original volume. If  \[\gamma \] is supposed to be \[\frac{3}{2}\], then the final pressure is        [BHU 1995]

A.            4 atmosphere
B.            \[\frac{3}{2}\] atmosphere
C.            8 atmosphere
D.            \[\frac{1}{4}\] atmosphere
Answer» D.            \[\frac{1}{4}\] atmosphere
9457.

The expression for the capacity of the capacitor formed by compound dielectric placed between the plates of a parallel plate capacitor as shown in figure, will be (area of plate \[=A\])           [MP PET 1996]

A.    \[\frac{{{\varepsilon }_{0}}A}{\left( \frac{{{d}_{1}}}{{{K}_{1}}}+\frac{{{d}_{2}}}{{{K}_{2}}}+\frac{{{d}_{3}}}{{{K}_{3}}} \right)}\]
B.     \[\frac{{{\varepsilon }_{0}}A}{\left( \frac{{{d}_{1}}+{{d}_{2}}+{{d}_{3}}}{{{K}_{1}}+{{K}_{2}}+{{K}_{3}}} \right)}\]
C.    \[\frac{{{\varepsilon }_{0}}A({{K}_{1}}{{K}_{2}}{{K}_{3}})}{{{d}_{1}}{{d}_{2}}{{d}_{3}}}\]
D.          \[{{\varepsilon }_{0}}\left( \frac{A{{K}_{1}}}{{{d}_{1}}}+\frac{A{{K}_{2}}}{{{d}_{2}}}+\frac{A{{K}_{3}}}{{{d}_{3}}} \right)\]
Answer» B.     \[\frac{{{\varepsilon }_{0}}A}{\left( \frac{{{d}_{1}}+{{d}_{2}}+{{d}_{3}}}{{{K}_{1}}+{{K}_{2}}+{{K}_{3}}} \right)}\]
9458.

Assertion :       If objective and eye lenses of a microscope are interchanged then it can work as telescope. Reason      :   The objective of telescope has small focal length.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» E. If assertion is false but reason is true.
9459.

Assertion :       Although the surfaces of a goggle lens are curved, it does not have any power. Reason      :   In case of goggles, both the curved surfaces have equal radii of curvature.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
9460.

Assertion :       The illuminance of an image produced by a convex lens is greater in the middle and less towards the edges. Reason      :   The middle part of image is formed by undeflected rays while outer part by inclined rays.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
9461.

Three charges each of magnitude q are placed at the corners of an equilateral triangle, the electrostatic force on the charge placed at the center is (each side of triangle is L) [DPMT 2002]

A.            Zero        
B.            \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}^{2}}}{{{L}^{2}}}\]
C.            \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{3{{q}^{2}}}{{{L}^{2}}}\]    
D.            \[\frac{1}{12\pi {{\varepsilon }_{0}}}\frac{{{q}^{2}}}{{{L}^{2}}}\]
Answer» B.            \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}^{2}}}{{{L}^{2}}}\]
9462.

A metallic ball and highly stretched spring are made of the same material and have the same mass. They are heated so that they melt, the latent heat required       [AIIMS 2002]

A.            Are the same for both
B.            Is greater for the ball
C.            Is greater for the spring
D.            For the two may or may not be the same depending upon the metal
Answer» B.            Is greater for the ball
9463.

The mass and diameter of a planet have twice the value of the corresponding parameters of earth. Acceleration due to gravity on the surface of the planet is     [NCERT 1971; Pb. PMT 2000]

A. \[9.8\,m/{{\sec }^{2}}\]
B.   \[4.9\,m/{{\sec }^{2}}\]
C. \[980\,m/{{\sec }^{2}}\]      
D. \[19.6\,m/{{\sec }^{2}}\]
Answer» C. \[980\,m/{{\sec }^{2}}\]      
9464.

A long straight wire carries a current of \[\pi \,amp.\] The magnetic field due to it will be \[5\times {{10}^{-5}}\text{ }weber/{{m}^{\text{2}}}\] at what distance from the wire \[[{{\mu }_{o}}=\]permeability of air]  [MP PMT 2002]

A.            \[{{10}^{4}}{{\mu }_{o}}\] metre    
B.            \[\frac{{{10}^{4}}}{{{\mu }_{o}}}\] metre
C.            \[{{10}^{6}}{{\mu }_{o}}\] metre    
D.            \[\frac{{{10}^{6}}}{{{\mu }_{o}}}\]metre
Answer» B.            \[\frac{{{10}^{4}}}{{{\mu }_{o}}}\] metre
9465.

A metal rod of length 2m has cross sectional areas 2A and A as shown in figure. The ends are maintained at temperatures 100°C and 70°C. The temperature at middle point C is  [CPMT 2000]

A.            80°C
B.            85°C
C.            90°C
D.            95°C
Answer» D.            95°C
9466.

If a dielectric substance is introduced between the plates of a charged air-gap capacitor. The energy of the capacitor will [MP PMT 2004]

A.            Increase
B.            Decrease
C.            Remain unchanged
D.            First decrease and then increase
Answer» C.            Remain unchanged
9467.

 A variable condenser is permanently connected to a 100 \[V\] battery. If the capacity is changed from \[2\mu \,F\] to \[10\,\mu \,F\], then change in energy is equal to         [BHU 2000]

A.            \[2\times {{10}^{-2}}\,J\]
B.         \[2.5\times {{10}^{-2}}\,J\]
C.            \[3.5\times {{10}^{-2}}\,J\]
D.         \[4\times {{10}^{-2}}\,J\]
Answer» E.
9468.

An electron makes a transition from orbit n = 4 to the orbit n = 2 of a hydrogen atom. The wave number of the emitted radiations (R = Rydberg's constant) will be  [CBSE PMT 1995]

A.            \[\frac{16}{3R}\]      
B.            \[\frac{2R}{16}\]
C.            \[\frac{3R}{16}\]      
D.            \[\frac{4R}{16}\]
Answer» D.            \[\frac{4R}{16}\]
9469.

Assertion :       Inductance coil are made of copper. Reason      :   Induced current is more in wire having less resistance.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
9470.

When a copper voltameter is connected with a battery of e.m.f. 12 volts. 2 gms of copper is deposited in 30 minutes. If the same voltameter is connected across a 6 volt battery, then the mass of copper deposited in 45 minutes would be   [SCRA 1994]

A.         1 gm          
B.         1.5 gm
C.         2 gm          
D.         2.5 gm
Answer» C.         2 gm          
9471.

Two parallel glass plates are dipped partly in the liquid of density 'd' keeping them vertical. If the distance between the plates is 'x', surface tension for liquids is T and angle of contact is \[\theta \], then rise of liquid between the plates due to capillary will be       [NCERT 1981]

A. \[\frac{T\cos \theta }{xd}\]
B.   \[\frac{2T\cos \theta }{xdg}\]
C. \[\frac{2T}{xdg\cos \theta }\]
D.            \[\frac{T\cos \theta }{xdg}\]
Answer» C. \[\frac{2T}{xdg\cos \theta }\]
9472.

For adiabatic process, wrong statement is    [RPMT 1997]

A.            \[dQ=0\]          
B.            \[dU=-dW\]
C.            Q = constant  
D.            Entropy is not constant
Answer» E.
9473.

    Assertion          :           If both the speed of a body and radius of its circular path are doubled, then centripetal force also gets doubled. Reason            :           Centripetal force is directly proportional to both speed of a body and radius of circular path.          

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» D. If the assertion and reason both are false.
9474.

In electrolysis, if the duration of the passage of current is doubled, the mass liberated is         [EAMCET 1979]

A.         Doubled   
B.         Halved
C.         Increased four times
D.         Remains the same
Answer» B.         Halved
9475.

The ratio of the frequencies of the long wavelength limits of Lyman and Balmer series of hydrogen spectrum is [KCEE 1996]

A.            27 : 5       
B.            5 : 27
C.            4 : 1         
D.            1 : 4
Answer» B.            5 : 27
9476.

The distance between the plates of a parallel plate capacitor is \[d\]. A metal plate of thickness \[d/2\] is placed between the plates. The capacitance would then be [MP PMT 1994]

A.         Unchanged        
B.            Halved
C.         Zero
D.            Doubled
Answer» E.
9477.

When two ends of a rod wrapped with cotton are maintained at different temperatures and after some time every point of the rod attains a constant temperature, then [MP PET/PMT 1988]

A.            Conduction of heat at different points of the rod stops because the temperature is not increasing
B.            Rod is bad conductor of heat
C.            Heat is being radiated from each point of the rod
D.            Each point of the rod is giving heat to its neighbour at the same rate at which it is receiving heat
Answer» E.
9478.

Assertion :       All the materials always have the same colour, whether viewed by reflected light or through transmitted light. Reason      :   The colour of material does not depend on nature of light.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» E. If assertion is false but reason is true.
9479.

Assertion :       A beam of white light gives a spectrum on passing through a hollow prism. Reason      :   Speed of light outside the prism is different from the speed of light inside the prism.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» E. If assertion is false but reason is true.
9480.

Assertion :       By increasing the diameter of the objective of telescope, we can increase its range. Reason      :   The range of a telescope tells us how far away a star of some standard brightness can be spotted by telescope.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» C. If assertion is true but reason is false.
9481.

The peak value of an Alternating current is 6 amp, then r.m.s. value of current will be

A.            3 A
B.            \[3\sqrt{3}\]A
C.            \[3\sqrt{2}\]A
D.            \[2\sqrt{3}\]A
Answer» D.            \[2\sqrt{3}\]A
9482.

In the circuit shown below, the ac source has voltage \[V=20\cos (\omega t)\] volts with \[\omega \]= 2000 rad/sec. the amplitude of the current will be nearest to  [AMU (Engg.) 2000]

A.            \[2A\]
B.            \[3.3A\]
C.            \[2/\sqrt{5}A\]
D.            \[\sqrt{5}A\]
Answer» B.            \[3.3A\]
9483.

A diatomic gas initially at 18°C is compressed adiabatically to one-eighth of its original volume. The temperature after compression will be [Pb. PET 1995; CBSE PMT 1996; CPMT 1999]

A.            \[{{10}^{o}}C\]         
B.            \[{{887}^{o}}C\]
C.            \[668K\]
D.            \[{{144}^{o}}C\]
Answer» D.            \[{{144}^{o}}C\]
9484.

At what distance from the centre of the earth, the value of acceleration due to gravity g will be half that on the surface (R = radius of earth)          [MP PMT 2001]

A. 2 R      
B. R
C. 1.414 R
D.   0.414 R
Answer» E.
9485.

R and r are the radii of the earth and moon respectively. \[{{\rho }_{e}}\] and \[{{\rho }_{m}}\] are the densities of earth and moon respectively. The ratio of the accelerations due to gravity on the surfaces of earth and moon is [EAMCET 2000]

A. \[\frac{R}{r}\frac{{{\rho }_{e}}}{{{\rho }_{m}}}\]
B.   \[\frac{r}{R}\frac{{{\rho }_{e}}}{{{\rho }_{m}}}\]
C. \[\frac{r}{R}\frac{{{\rho }_{m}}}{{{\rho }_{e}}}\]          
D. \[\frac{R}{r}\frac{{{\rho }_{e}}}{{{\rho }_{m}}}\]
Answer» B.   \[\frac{r}{R}\frac{{{\rho }_{e}}}{{{\rho }_{m}}}\]
9486.

Assertion :       When charges are shared between any two bodies, no charge is really lost, but some loss of energy does occur. Reason     :   Some energy disappears in the form of heat, sparking etc.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E.      If assertion is false but reason is true.
Answer» C. If assertion is true but reason is false.
9487.

Assertion :       The permeability of a ferromagnetic material is independent of the magnetic field. Reason      :       Permeability of a material is a constant quantity.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» E. If assertion is false but reason is true.
9488.

A quantity of heat required to change the unit mass of a solid substance, from solid state to liquid state, while the temperature remains constant, is known as     [AIIMS 1998]

A.            Latent heat     
B.            Sublimation
C.            Hoar frost        
D.   Latent heat of fusion
Answer» E.
9489.

Magnetic field intensity at the centre of coil of 50 turns, radius 0.5 m and carrying a current of 2 A is [CBSE PMT 1999; BHU 2002]

A.    \[0.5\times {{10}^{-5}}\,T\]      
B.    \[1.25\times {{10}^{-4}}\,T\]
C.    \[3\times {{10}^{-5}}\,T\]          
D.    \[4\times {{10}^{-5}}\,T\]
Answer» C.    \[3\times {{10}^{-5}}\,T\]          
9490.

A 0.5 kg ball is thrown up with an initial speed 14 m/s and reaches a maximum height of 8.0m. How much energy is dissipated by air drag acting on the ball during the ascent [AMU (Med.) 2000]

A.      \[19.6Joule\]
B.      \[4.9\,Joule\]
C.      \[10\,Joule\]
D.      \[9.8\,Joule\]
Answer» E.
9491.

50 gm of copper is heated to increase its temperature by 10°C. If the same quantity of heat is given to 10 gm of water, the rise in its temperature is (Specific heat of copper = 420 Joule-kg?1 °C?1) [EAMCET (Med.) 2000]

A.            5°C
B.            6°C
C.            7°C
D.   8°C
Answer» B.            6°C
9492.

A piece of glass is heated to a high temperature and then allowed to cool. If it cracks, a probable reason for this is the following property of glass       [CPMT 1985]

A.            Low thermal conductivity
B.            High thermal conductivity
C.            High specific heat
D.            High melting point
Answer» B.            High thermal conductivity
9493.

A parallel plate capacitor of plate area \[A\]and plate separation \[d\]is charged to potential \[V\]and then the battery is disconnected. A slab of dielectric constant \[k\]is then inserted between the plates of the capacitors so as to fill the space between the plates. If \[Q,\ E\] and \[W\] denote respectively, the magnitude of charge on each plate, the electric field between the plates (after the slab is inserted) and work done on the system in question in the process of inserting the slab, then state incorrect relation from the following           [IIT 1991; MP PET 1997]         

A.         \[Q=\frac{{{\varepsilon }_{0}}AV}{d}\]
B.         \[W=\frac{{{\varepsilon }_{0}}A{{V}^{2}}}{2kd}\]
C.         \[E=\frac{V}{kd}\]
D.         \[W=\frac{{{\varepsilon }_{0}}A{{V}^{2}}}{2d}\left( 1-\frac{1}{k} \right)\]
Answer» C.         \[E=\frac{V}{kd}\]
9494.

The height of the point vertically above the earth?s surface, at which acceleration due to gravity becomes 1% of its value at the surface is (Radius of the earth = R) [EAMCET (Engg.) 2000]

A. 8 R      
B. 9 R
C. 10 R    
D. 20 R
Answer» C. 10 R    
9495.

Which of the following spectral series in hydrogen atom give spectral line of 4860 Å   [Roorkee 1999]

A.            Lyman    
B.            Balmer
C.            Paschen
D.            Brackett
Answer» C.            Paschen
9496.

How much heat energy is gained when 5 kg of water at 20°C is brought to its boiling point (Specific heat of water = 4.2 kJ kg?1c?1)       [BHU 2001]

A.            1680 kJ   
B.            1700 kJ
C.            1720 kJ   
D.            1740 kJ
Answer» B.            1700 kJ
9497.

Assertion :       Dispersion of light occurs because velocity of light in a material depends upon its colour. Reason      :   The dispersive power depends only upon the material of the prism, not upon the refracting angle of the prism.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» C. If assertion is true but reason is false.
9498.

Assertion :       An empty test tube dipped into water in a beaker appears silver, when viewed from a suitable direction. Reason      :   Due to refraction of light, the substance in water appears silvery.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» D. If the assertion and reason both are false.
9499.

Assertion :       Spherical aberration occur in lenses of larger aperture. Reason      :   The two rays, paraxial and marginal rays focus at different points.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
E. If assertion is false but reason is true.
Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
9500.

According to Faraday's laws of electrolysis, the amount of decomposition is proportional to         [MP PMT 1993]

A. \[\frac{1}{\text{Time for which curent passes}}\]
B. Electrochemical equivalent of the substance
C. \[\frac{1}{\text{Current}}\]
D. \[\frac{1}{\text{Electrochemical equivalent}}\]
Answer» C. \[\frac{1}{\text{Current}}\]