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.

10401.

Assertion    :      \[\vec{A}\times \vec{B}\] is perpendicular to both \[\vec{A}+\vec{B}\] as well as \[\vec{A}-\vec{B}.\]        Reason        :      \[\vec{A}+\vec{B}\] as well as \[\vec{A}-\vec{B}\] lie in the plane containing \[\vec{A}\] and \[\vec{B}\], but \[\vec{A}\times \vec{B}\] lies perpendicular to the plane containing \[\vec{A}\] and \[\vec{B}.\]

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.
10402.

A current I flows along the length of an infinitely long, straight and thin-walled pipe. Then   [IIT-JEE 1993]

A.    The magnetic field at all points inside the pipe is the same but not zero
B.    The magnetic field at any point inside the pipe is zero
C.    The magnetic field is zero only on the axis of the pipe
D.    The magnetic field is different at different points inside the pipe
Answer» C.    The magnetic field is zero only on the axis of the pipe
10403.

Assertion    :       The velocity of fall of a man jumping with a parachute first increases and then becomes constant. Reason        :       The constant velocity of fall of man is called terminal velocity.

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.
10404.

The frequency of ac mains in India is [NCERT 1974; MP PMT/PET 1988; RPMT 1997; RPET 2000]

A.   30 c/s or Hz         
B.   50 c/s or Hz
C.   60 c/s or Hz         
D.   120 c/s or Hz
Answer» C.   60 c/s or Hz         
10405.

Voltage in the secondary coil of a transformer does not depend upon.        [BHU 2000]

A.   Voltage in the primary coil
B.   Ratio of number of turns in the two coils
C.   Frequency of the source
D.   Both (a) and (b)
Answer» D.   Both (a) and (b)
10406.

Dielectric constant of pure water is 81. Its permittivity will be         [CPMT 1984]  

A.          \[7.12\times {{10}^{-10}}\,MKS\] units        
B.          \[8.86\times {{10}^{-12}}MKS\] units  
C.          \[1.02\times {{10}^{13}}\ MKS\] units 
D.          Cannot be calculated
Answer» B.          \[8.86\times {{10}^{-12}}MKS\] units  
10407.

Assertion    :       The colour of the green flower seen through red glass appears to be dark. Reason        :   Red glass transmits only red light.  [AIIMS 1997]

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.
10408.

A body of mass m is taken to the bottom of a deep mine. Then [NCERT 1982]

A. Its mass increases       
B.    Its mass decreases
C.    Its weight increases     
D.    Its weight decreases
Answer» E.
10409.

For cooking the food, which of the following type of utensil is most suitable [MNR 1986; MP PET 1990; CPMT 1991; SCRA 1998; MP PMT/PET 1998, 2000; RPET 2001]

A.   High specific heat and low conductivity
B.   High specific heat and high conductivity
C.   Low specific heat and low conductivity
D.   Low specific heat and high conductivity
Answer» E.
10410.

L, C and R represent physical quantities inductance, capacitance and resistance respectively. The combination representing dimension of frequency is  [MP PET 1995; DCE 2001]

A.   LC  
B.   \[{{(LC)}^{-1/2}}\]
C.   \[{{\left( \frac{L}{C} \right)}^{-1/2}}\]
D.   \[\frac{C}{L}\]
Answer» C.   \[{{\left( \frac{L}{C} \right)}^{-1/2}}\]
10411.

At a certain instant of time the mass of a rocket going up vertically is 100 kg. If it is ejecting 5 kg of gas per second at a speed of 400 m/s, the acceleration of the rocket would be (taking \[g=10\,m/{{s}^{2}})\]     [NCERT 1984]

A.       \[20\,m/{{s}^{2}}\]   
B.      \[10\,m/{{s}^{2}}\]
C.       \[2\,m/{{s}^{2}}\]
D.      \[1\,m/{{s}^{2}}\]
Answer» C.       \[2\,m/{{s}^{2}}\]
10412.

Assertion    :       Bodies radiate heat at all temperatures.        Reason        :       Rate of radiation of heat is proportional to the fourth power of absolute temperature. [AIIMS 1999, 2002]

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.
10413.

If the density of oxygen is 16 times that of hydrogen, what will be the ratio of their corresponding velocities of sound waves      [KCET 1999]

A.   1 : 4      
B.   4 : 1
C.   16 : 1    
D.   1 : 16
Answer» B.   4 : 1
10414.

If velocity of sound in a gas is 360 m/s and the distance between a compression and the nearest rarefaction is 1m, then the frequency of sound is     [KCET 1999]

A.   90 Hz   
B.   180 Hz
C.   360 Hz 
D.   720 Hz
Answer» C.   360 Hz 
10415.

At which temperature the speed of sound in hydrogen will be same as that of speed of sound in oxygen at 100oC [UPSEAT 1999]

A.   ? 148oC        
B.   ? 212.5oC
C.   ? 317.5oC    
D.   ? 249.7oC
Answer» E.
10416.

Energy of electron in a orbit of H-atom is    [RPET 2000]

A.   Positive       
B.   Negative
C.   Zero     
D.   Nothing can be said
Answer» C.   Zero     
10417.

Four lowest energy levels of H-atom are shown in the figure. The number of possible emission lines would be          [MP PMT 2001]    

A.   3    
B.   4
C.   5    
D.   6
Answer» E.
10418.

An ideal transformer has 500 and 5000 turn in primary and secondary windings respectively. If the primary voltage is connected to a 6V battery then the secondary voltage is  [Orissa JEE 2003]

A.   0    
B.   60 V
C.   0.6 V    
D.   6.0 V
Answer» B.   60 V
10419.

Assertion    :       For cooking in a microwave oven, food is always kept in metal containers. Reason        :       The energy of microwave is easily transferred to the food in metal container.

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.
10420.

Assertion    :       Short wave bands are used for transmission of ratio waves to a large distance Reason        :       Short waves are reflected by ionosphere      [AIIMS 1994]

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.
10421.

Assertion    :       X-ray astronomy is possible only from satellites orbiting the earth. Reason        :       Efficiency of X-rays telescope is large as compared to any other 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» D.    If the assertion and reason both are false.
10422.

Assertion    :       It is impossible to photograph a virtual image. Reason        :   The rays which appear diverging from a virtual image fall on the camera and a real image is captured.

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.
10423.

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.
10424.

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.
10425.

If the capacity of a spherical conductor is 1 picofarad, then its diameter, would be        [Pb. PMT 1999]

A.   \[1.8\times {{10}^{-3}}m\]
B. \[18\times {{10}^{-3}}m\]
C.   \[1.8\times {{10}^{-5}}m\]
D. \[18\times {{10}^{-7}}m\]
Answer» C.   \[1.8\times {{10}^{-5}}m\]
10426.

A 0.10 kg block oscillates back and forth along a horizontal surface. Its displacement from the origin is given by: \[x=(10\,cm)\cos [(10\,rad/s)\,t+\pi /2\,rad]\]. What is the maximum acceleration experienced by the block      [AMU (Engg.) 2000]

A.   \[10\,\,m/{{s}^{2}}\]        
B.   \[10\,\pi \,m/{{s}^{2}}\]
C.   \[\frac{10\pi }{2}\,m/{{s}^{2}}\]  
D.   \[\frac{10\pi }{3}\,m/{{s}^{2}}\]
Answer» B.   \[10\,\pi \,m/{{s}^{2}}\]
10427.

Assertion    :       Soft iron is used as transformer core. Reason        :       Soft iron has narrow hysteresis loop.

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.
10428.

If the stone is thrown up vertically and return to ground, its potential energy is maximum        [EAMCET 1979]

A.        During the upward journey
B.        At the maximum height
C.        During the return journey
D.        At the bottom
Answer» C.        During the return journey
10429.

Assertion        :       The cloud in sky generally appear to be whitish. Reason        :   Diffraction due to clouds is efficient in equal measure at all wavelengths. [AIIMS 2005]

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.
10430.

Assertion        :       Interference pattern is made by using blue light instead of red light, the fringes becomes narrower. Reason        :   In Young?s double slit experiment, fringe width is given by relation \[B=\frac{\lambda D}{d}\]. [AIIMS 1999]

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.
10431.

Assertion    :       In adiabatic compression, the internal energy and temperature of the system get decreased. Reason        :       The adiabatic compression is a slow process [AIIMS 2001]

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.
10432.

Two long capillary tubes A and B of radius RB>RA dipped in same liquid. Then        [Orissa PMT 2004]

A. Water rise is more in A than B
B.    Water rises more in B than A  
C.    Same water rise in both    
D.    All of these according to the density of water
Answer» B.    Water rises more in B than A  
10433.

Acceleration due to gravity is ?g? on the surface of the earth. The value of acceleration due to gravity at a height of 32 km above earth?s surface is (Radius of the earth = 6400 km)  [KCET (Engg./Med.) 1999]

A. 0.9 g   
B.    0.99 g
C.    0.8 g   
D.    1.01 g
Answer» C.    0.8 g   
10434.

The ratio of the diameters of two metallic rods of the same material is 2 : 1 and their lengths are in the ratio 1 : 4. If the temperature difference between their ends are equal, the rate of flow of heat in them will be in the ratio [MP PET 1994]

A.   2 : 1      
B.   4 : 1
C.   \[8:1\] 
D.   16 : 1
Answer» E.
10435.

If instantaneous current is given by \[i=4\cos \,(\omega \,t+\varphi )\] amperes, then the r.m.s. value of current is [RPET 2000]

A.   4 amperes  
B.   \[2\sqrt{2}\] amperes
C.   \[4\sqrt{2}\] amperes      
D.   Zero amperes
Answer» C.   \[4\sqrt{2}\] amperes      
10436.

A person goes 10 km north and 20 km east. What will be displacement from initial point     [AFMC 1994, 2003]

A.        22.36 km
B. 2 km
C.        5 km     
D.        20 km
Answer» B. 2 km
10437.

If the earth rotates faster than its present speed, the weight of an object will       [Haryana CEE 1996]

A. Increase at the equator but remain unchanged at the poles
B.    Decrease at the equator but remain unchanged at the poles
C.    Remain unchanged at the equator but decrease at the poles
D.    Remain unchanged at the equator but increase at the poles
Answer» C.    Remain unchanged at the equator but decrease at the poles
10438.

Assertion    :       The molecules at 0ºC ice and 0ºC water will have same potential energy. Reason        :       Potential energy depends only on temperature of the system.

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.
10439.

Calculate the amount of heat (in calories) required to convert 5 gm of ice at 0°C to steam at 100° [DPMT 2005]

A.   3100     
B.   3200
C.   3600     
D.   4200
Answer» D.   4200
10440.

Assertion    :       The speed of light in a rarer medium is greater than that in a denser medium  Reason        :   One light year equals to 9.5 × 1012 km [AIIMS 1999]

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.
10441.

A current i ampere flows along the inner conductor of a coaxial cable and returns along the outer conductor of the cable, then the magnetic induction at any point outside the conductor at a distance r metre from the axis is

A.   \[\infty \]   
B.   Zero
C.   \[\frac{{{\mu }_{0}}}{4\pi }\frac{2i}{r}\]     
D.   \[\frac{{{\mu }_{0}}}{4\pi }\frac{2\pi \,i}{r}\]
Answer» C.   \[\frac{{{\mu }_{0}}}{4\pi }\frac{2i}{r}\]     
10442.

A charge of Q coulomb is placed on a solid piece of metal of irregular shape. The charge will distribute itself         [MP PMT 1991]  

A.          Uniformly in the metal object  
B.          Uniformly on the surface of the object  
C.          Such that the potential energy of the system is minimized
D.          Such that the total heat loss is minimized
Answer» D.          Such that the total heat loss is minimized
10443.

Assertion : The coulomb force is the dominating force in the universe. Reason : The coulomb force is weaker than the gravitational force.          [AIIMS 2003]

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.
10444.

Assertion    :       Faraday?s laws are consequences of conservation of energy. Reason        :   In a purely resistive ac circuit, the current lags behind the e.m.f. in phase.        [AIIMS 2002]

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.
10445.

 The slopes of isothermal and adiabatic curves are related as [CPMT 1971; BHU 1996; MH CET 1999;  UPSEAT 2000; RPET 2003]

A.   Isothermal curve slope = adiabatic curve slope
B.   Isothermal curve slope = \[\gamma \times \] adiabatic curve slope
C.   Adiabatic curve slope = \[\gamma \times \] isothermal curve slope
D.   Adiabatic curve slope = \[\frac{1}{2}\times \]isothermal curve slope
Answer» D.   Adiabatic curve slope = \[\frac{1}{2}\times \]isothermal curve slope
10446.

5 g of ice at 0°C is dropped in a beaker containing 20 g of water at 40°C. The final temperature will be      [Pb. PET 2003]

A.   32°C     
B.   16°C
C.   8°C
D.   24°C
Answer» C.   8°C
10447.

A parallel plate capacitor has a capacity \[C\]. The separation between the plates is doubled and a dielectric medium is introduced between the plates. If the capacity now becomes\[2C\], the dielectric constant of the medium is    [Haryana CEE 1996]

A. 2
B. 1
C. 4
D. 8
Answer» D. 8
10448.

An air capacitor of capacity \[C=10\mu F\]is connected to a constant voltage battery of\[12\,V\]. Now the space between the plates is filled with a liquid of dielectric constant 5. The charge that flows now from battery to the capacitor is [MP PMT 1997]

A. \[120\mu C\]
B. \[699\mu C\]
C. \[480\mu C\]
D.   \[24\mu C\]
Answer» D.   \[24\mu C\]
10449.

In the nth orbit, the energy of an electron \[{{E}_{n}}=-\frac{13.6}{{{n}^{2}}}eV\]for hydrogen atom. The energy required to take the electron from first orbit to second orbit will be [MP PMT 1987; CPMT 1991, 97; RPMT 1999; DCE 2001; Kerala PMT 2004]

A.   \[10.2\ eV\]        
B.   \[12.1\ eV\]
C.   \[13.6\ eV\]        
D.   \[3.4\ eV\]
Answer» B.   \[12.1\ eV\]
10450.

Assertion    :       The periodic time of a hard spring is less as compared to that of a soft spring.  Reason        :       The periodic time depends upon the spring constant, and spring constant is large for hard spring.

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.