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.

3951.

A car of mass ?m? is driven with acceleration ?a? along a straight level road against a constant external resistive force ?R?. When the velocity of the car is ?V?, the rate at which the engine of the car is doing work will be [MP PMT/PET 1998; JIPMER 2000]

A.             RV      
B.             maV
C.             \[(R+ma)V\]
D.               \[(ma-R)V\]
Answer» D.               \[(ma-R)V\]
3952.

An engine develops 10 kW of power. How much time will it take to lift a mass of 200 kg to a height of 40 m. \[(g=10\,m/{{\sec }^{2}})\]                    [CPMT 1992]

A.             4 sec   
B.             5 sec
C.             8 sec   
D.             10 sec
Answer» D.             10 sec
3953.

If a force F is applied on a body and it moves with a velocity v, the power will be [CPMT 1985, 97; DCE 1999; UPSEAT 2004]

A.             \[F\times v\]    
B.             \[F/v\]
C.             \[F/{{v}^{2}}\]        
D.             \[F\times {{v}^{2}}\]
Answer» B.             \[F/v\]
3954.

Plane polarized light is passed through a polaroid. On viewing through the polaroid we find that when the polaroid is given one complete rotation about the direction of the light, one of the following is observed  [MNR 1993]

A.            The intensity of light gradually decreases to zero and remains at zero
B.            The intensity of light gradually increases to a maximum and remains at maximum
C.            There is no change in intensity
D.            The intensity of light is twice maximum and twice zero
Answer» E.
3955.

A polaroid is placed at 45o to an incoming light of intensity \[{{I}_{0}}\]. Now the intensity of light passing through polaroid after polarization would be                                       [CPMT 1995]

A.            \[{{I}_{0}}\]                          
B.            \[{{I}_{0}}/2\]
C.            \[{{I}_{0}}/4\]                      
D.            Zero
Answer» C.            \[{{I}_{0}}/4\]                      
3956.

Which of following  cannot be polarised     [Kerala PMT 2001]

A.            Radio waves                         
B.            Ultraviolet rays
C.            Infrared rays                        
D.            Ultrasonic waves
Answer» E.
3957.

The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refraction index n) is                                                                   [AIEEE 2004; UPSEAT 2005]

A.            \[{{\sin }^{-1}}(n)\]           
B.            \[{{\sin }^{-1}}\left( \frac{1}{n} \right)\]
C.            \[{{\tan }^{-1}}\left( \frac{1}{n} \right)\]                     
D.            \[{{\tan }^{-1}}(n)\]
Answer» E.
3958.

For the study of the helical structure of nucleic acids, the property of electromagnetic radiation generally used is [EAMCET 2005]

A.            Reflection                             
B.            Interference
C.            Diffraction                             
D.            Polarisation
Answer» E.
3959.

Two polaroids are placed in the path of unpolarized beam of intensity \[{{I}_{0}}\] such that no light is emitted from the second polaroid. If a third polaroid whose polarization axis makes an angle q with the polarization axis of first polaroid, is placed between these polaroids then the intensity of light emerging from the last polaroid will be           [UPSEAT 2005]

A.            \[\left( \frac{{{I}_{0}}}{8} \right){{\sin }^{2}}2\theta \]        
B.            \[\left( \frac{{{I}_{0}}}{4} \right){{\sin }^{2}}2\theta \]
C.            \[\left( \frac{{{I}_{0}}}{2} \right){{\cos }^{4}}\theta \]         
D.            \[{{I}_{0}}{{\cos }^{4}}\theta \]
Answer» B.            \[\left( \frac{{{I}_{0}}}{4} \right){{\sin }^{2}}2\theta \]
3960.

When the angle of incidence on a material is 60°, the reflected light is completely polarized. The velocity of the refracted ray inside the material is (in ms?1)  [Kerala PMT 2005]

A.            \[3\times {{10}^{8}}\]      
B.            \[\left( \frac{3}{\sqrt{2}} \right)\times {{10}^{8}}\]
C.            \[\sqrt{3}\times {{10}^{8}}\] 
D.            \[0.5\times {{10}^{8}}\]
Answer» D.            \[0.5\times {{10}^{8}}\]
3961.

An optically active compound           [DCE 2005]

A.            Rotates the plane polarised light
B.            Changing the direction of polarised light
C.            Do not allow plane polarised light to pass through
D.            None of the above
Answer» B.            Changing the direction of polarised light
3962.

When unpolarised light beam is incident from air onto glass (n = 1.5) at the polarising angle          [KCET 2005]

A.            Reflected beam is polarised 100 percent
B.            Reflected and refracted beams are partially polarised
C.            The reason for (a) is that almost all the light is reflected     
D.            All of the above
Answer» B.            Reflected and refracted beams are partially polarised
3963.

The angle of polarization for any medium is 60o, what will be critical angle for this                                              [UPSEAT 1999]

A.            \[{{\sin }^{-1}}\sqrt{3}\]  
B.            \[{{\tan }^{-1}}\sqrt{3}\]
C.            \[{{\cos }^{-1}}\sqrt{3}\] 
D.            \[{{\sin }^{-1}}\frac{1}{\sqrt{3}}\]
Answer» E.
3964.

In case of linearly polarised light, the magnitude of the electric field vector:                                         [AIIMS 2005]

A.            Does not change with time   
B.            Varies periodically with time
C.            Increases and decreases linearly with time
D.            Is parallel to the direction of propagation
Answer» C.            Increases and decreases linearly with time
3965.

Refractive index of material is equal to tangent of polarising angle. It is called                                      [AFMC 2005]

A.            Brewster?s law
B.            Lambert?s law
C.            Malus?s law                          
D.            Bragg?s law
Answer» B.            Lambert?s law
3966.

When an unpolarized light of intensity \[{{I}_{0}}\] is incident on a polarizing sheet, the intensity of the light which does not get transmitted is                                                          [AIEEE 2005]

A.            Zero                                         
B.            \[{{I}_{0}}\]
C.            \[\frac{1}{2}{{I}_{0}}\]     
D.            \[\frac{1}{4}{{I}_{0}}\]
Answer» D.            \[\frac{1}{4}{{I}_{0}}\]
3967.

Unpolarized light of intensity 32Wm?2 passes through three polarizers such that transmission axes of the first and second polarizer makes and angle 30° with each other and the transmission axis of the last polarizer is crossed with that of the first. The intensity of final emerging light will be

A.            32 Wm?2                                 
B.            3 Wm?2
C.            8 Wm?2                                   
D.            4 Wm?2
Answer» C.            8 Wm?2                                   
3968.

Unpolarized light falls on two polarizing sheets placed one on top of the other. What must be the angle between the characteristic directions of the sheets if the intensity of the final transmitted light is one-third the maximum intensity of the first transmitted beam

A.            75°                                            
B.            55°
C.            35°
D.            15°
Answer» C.            35°
3969.

Consider the following statements A to B  and identify the correct answer A.       Polarised light can be used to study the helical surface of nucleic acids. B.        Optics axis is a direction and not any particular line in the crystal     [EAMCET (Med.) 2003]

A.            A and B are correct            
B.            A and B are wrong
C.            A is correct but B is wrong      
D.            A is wrong but B is correct
Answer» B.            A and B are wrong
3970.

When a plane polarised light is passed through an analyser and analyser is rotated through 90º, the intensity of the emerging light                                                              [TNPCEE 2002]

A.            Varies between a maximum and minimum
B.            Becomes zero
C.            Does not vary
D.            Varies between a maximum and zero
Answer» E.
3971.

Polarising angle for water is 53°4'. If light is incident at this angle on the surface of water and reflected, the angle of refraction is                                                                   [TNPCEE 2002]

A.            53°4'                                        
B.            126°56'
C.            36°56'                                      
D.            30°4'
Answer» D.            30°4'
3972.

Through which character we can distinguish the light waves from sound waves [CBSE PMT 1990; RPET 2000, 02]

A.            Interference                        
B.            Refraction
C.            Polarisation                          
D.            Reflection
Answer» D.            Reflection
3973.

\[{{V}_{o}}\]and \[{{V}_{E}}\]represent the velocities,\[{{\mu }_{o}}\]and\[{{\mu }_{E}}\]the refractive indices of ordinary and extraordinary rays for a doubly refracting crystal. Then                                          [KCET 2002]

A.            \[{{V}_{o}}\ge {{V}_{E}},\ \ {{\mu }_{o}}\le {{\mu }_{E}}\]if the crystal is calcite
B.            \[{{V}_{o}}\le {{V}_{E}},\ \ {{\mu }_{o}}\le {{\mu }_{E}}\]if the crystal is quartz
C.            \[{{V}_{o}}\le {{V}_{E}},\ \ {{\mu }_{o}}\ge {{\mu }_{E}}\]if the crystal is calcite
D.            \[{{V}_{o}}\ge {{V}_{E}},\ \ {{\mu }_{o}}\ge {{\mu }_{E}}\]if the crystal is quartz
Answer» D.            \[{{V}_{o}}\ge {{V}_{E}},\ \ {{\mu }_{o}}\ge {{\mu }_{E}}\]if the crystal is quartz
3974.

Light passes successively through two polarimeters tubes each of length 0.29m. The first tube contains dextro rotatory solution of concentration 60kgm?3 and specific rotation 0.01rad m222222222222222222222kg?1. The second tube contains laevo rotatory solution of concentration 30kg/m3 and specific rotation 0.02 radm2kg?1. The net rotation produced is [KCET 2002]

A.            15°
B.            0°
C.            20°
D.            10°
Answer» C.            20°
3975.

When light is incident on a doubly refracting crystal, two refracted rays-ordinary ray (O-ray) and extra ordinary ray (E-ray) are produced. Then                                                       [KCET 2001]

A.            Both O-ray and E-ray are polarised perpendicular to the plane of incidence
B.            Both O-ray and E-ray are polarised in the plane of incidence
C.            E-ray is polarised perpendicular to the plane of incidence and O-ray in the plane of incidence
D.            E-ray is polarised in the plane of incidence and O-ray perpendicular to the plane of incidence
Answer» E.
3976.

A light has amplitude A and angle between analyser and polariser is 60°. Light is reflected by analyser has amplitude       [UPSEAT 2001]

A.            \[A\sqrt{2}\]                        
B.            \[A/\sqrt{2}\]
C.            \[\sqrt{3}A/2\]                    
D.            \[A/2\]
Answer» E.
3977.

In the propagation of electromagnetic waves the angle between the direction of propagation and plane of polarisation is                                                                                              [CPMT 1978]

A.            0o   
B.            45o
C.            90o
D.            180o
Answer» B.            45o
3978.

Polarised glass is used in sun glasses because   [CPMT 1981]

A.            It reduces the light intensity to half an account of polarisation
B.            It is fashionable
C.            It has good colour
D.            It is cheaper
Answer» B.            It is fashionable
3979.

A beam of light AO is incident on a glass slab \[(\mu =1.54)\] in a direction as shown in figure. The reflected ray OB is passed through a Nicol prism on viewing through a Nicole prism, we find on rotating the prism that         [CPMT 1986]

A.            The intensity is reduced down to zero and remains zero   
B.            The intensity reduces down somewhat and rises again      
C.            There is no change in intensity
D.            The intensity gradually reduces to zero and then again increases
Answer» E.
3980.

Figure represents a glass plate placed vertically on a horizontal table with a beam of unpolarised light falling on its surface at the polarising angle of 57o with the normal. The electric vector in the reflected light on screen S will vibrate with respect to the plane of incidence in a          [CPMT 1988]

A.            Vertical plane
B.            Horizontal plane                 
C.            Plane making an angle of 45o with the vertical
D.            Plane making an angle of 57o with the horizontal
Answer» B.            Horizontal plane                 
3981.

Out of the following statements which is not correct  [CPMT 1991]

A.            When unpolarised light passes through a Nicol's prism, the emergent light is elliptically polarized
B.            Nicol's prism works on the principle of double refraction and total internal reflection 
C.            Nicol's prism can be used to produce and analyze polarized light   
D.            Calcite and Quartz are both doubly refracting crystals
Answer» B.            Nicol's prism works on the principle of double refraction and total internal reflection 
3982.

A polariser is used to                                                   [CPMT 1999]

A.            Reduce intensity of light 
B.            Produce polarised light
C.            Increase intensity of light
D.            Produce unpolarised light
Answer» C.            Increase intensity of light
3983.

A thick plane mirror shows a number of images of the filament of an electric bulb. Of these, the brightest image is the                                                                         [RPMT 2003]

A.            First                                         
B.            Second
C.            Fourth                                    
D.            Last
Answer» C.            Fourth                                    
3984.

It is desired to photograph the image of an object placed at a distance of \[3m\] from the plane mirror. The camera which is at a distance of \[4.5m\] from the mirror should be focussed for a distance of                                    [NCERT 1971]

A.            \[3m\]                                    
B.            \[4.5m\]
C.            \[6m\]                                    
D.            \[7.5m\]
Answer» E.
3985.

A light bulb is placed between two plane mirrors inclined at an angle of \[60{}^\circ .\] The number of images formed are                    [NCERT 1980; CPMT 1996, 97; SCRA 1994; AIIMS 1997; RPMT 1999; AIEEE 2002;  Orissa JEE 2003; MP PMT 2004; MP PET 2004]

A.            6    
B.            2
C.            5    
D.            4
Answer» D.            4
3986.

A plane mirror is approaching you at a speed of \[10\,cm/sec\]You can see your image in it. At what speed will your image approach you                                                                  [CPMT 1974]

A.            \[10cm/sec\]                       
B.            \[5cm/sec\]
C.            \[20cm/sec\]                       
D.            \[15cm/sec\]
Answer» D.            \[15cm/sec\]
3987.

A ray of light is incident at 50° on the middle of one of the two mirrors arranged at an angle of 60° between them. The ray then touches the second mirror, get reflected back to the first mirror, making an angle of incidence of [MP PET 2005]

A. \[50{}^\circ \]
B. \[60{}^\circ \]
C. \[70{}^\circ \]
D. \[80{}^\circ \]
Answer» D. \[80{}^\circ \]
3988.

Focal length of a plane mirror is                              [RPMT 2000]

A.            Zero                                         
B.            Infinite
C.            Very less                                
D.            Indefinite
Answer» C.            Very less                                
3989.

A light beam is being reflected by using two mirrors, as in a periscope used in submarines. If one of the mirrors rotates by an angle q, the reflected light will deviate from its original path by the angle                                        [UPSEAT 2004]

A.            \[2\theta \]                          
B.            \[{{0}^{o}}\]
C.            \[\theta \]                             
D.            \[4\theta \]
Answer» B.            \[{{0}^{o}}\]
3990.

A plane mirror reflecting a ray of incident light is rotated through an angle \[\theta \] about an axis through the point of incidence in the plane of the mirror perpendicular to the plane of incidence, then                            [NCERT 1978; CPMT 1991]

A.            The reflected ray does not rotate
B.            The reflected ray rotates through an angle \[\theta \]
C.            The reflected ray rotates through an angle \[2\theta \]
D.            The incident ray is fixed
Answer» D.            The incident ray is fixed
3991.

Two plane mirrors are at \[45{}^\circ \] to each other. If an object is placed between them, then the number of images will be  [MP PMT 2003]

A.            5    
B.            9
C.            7    
D.            8
Answer» D.            8
3992.

A man of length h requires a mirror, to see his own complete image of length at least equal to   [MP PET 2003]

A.            \[\frac{h}{4}\]                     
B.            \[\frac{h}{3}\]
C.            \[\frac{h}{2}\]                     
D.            h
Answer» D.            h
3993.

To get three images of a single object, one should have two plane mirrors at an angle of [AIEEE 2003]

A. \[30{}^\circ \]                                    
B. \[60{}^\circ \]
C. \[90{}^\circ \]
D. \[150{}^\circ \]
Answer» D. \[150{}^\circ \]
3994.

Two plane mirrors are inclined at an angle of \[{{72}^{0}}\]. The number of images of a point object placed between them will be      [KCET (Engg. & Med.)1999; BCECE 2003]

A.            2    
B.            3
C.            4    
D.            5
Answer» D.            5
3995.

The light reflected by a plane mirror may form a real image [KCET (Engg. & Med.) 2002]

A.            If the rays incident on the mirror are diverging
B.            If the rays incident on the mirror are converging
C.            If the object is placed very close to the mirror
D.            Under no circumstances
Answer» C.            If the object is placed very close to the mirror
3996.

A man runs towards a mirror at a speed 15 m/s  The speed of the image relative to the man is [Kerala PET 2002]

A.            15 \[m{{s}^{-1}}\]              
B.            30\[m{{s}^{-1}}\]
C.            35 \[m{{s}^{-1}}\]              
D.            20\[m{{s}^{-1}}\]
Answer» C.            35 \[m{{s}^{-1}}\]              
3997.

An object is at a distance of 0.5 m in front of a plane mirror. Distance between the object and image is  [CPMT 2002]

A.            0.5 m                                       
B.            1 m
C.            0.25 m                                     
D.            1.5 m
Answer» C.            0.25 m                                     
3998.

A small object is placed 10 cm infront of a plane mirror. If you stand behind the object 30 cm from the mirror and look at its image, the distance focused for your eye will be   [KCET (Engg.) 2001]

A.            60 cm                                      
B.            20 cm
C.            40 cm                                      
D.            80 cm
Answer» D.            80 cm
3999.

A man runs towards mirror at a speed of \[15\,m/s.\]What is the speed of his image                       [CBSE PMT 2000]

A.            7.5 m/s                                   
B.            15 m/s
C.            30 m/s                                    
D.            45 m/s
Answer» C.            30 m/s                                    
4000.

If an observer is walking away from the plane mirror with \[6m/sec.\] Then the velocity of the image with respect to observer will be                                                             [RPMT 1999]

A.            \[6m/sec\]                            
B.            \[-\,6m/sec\]
C.            \[12m/sec\]                         
D.            \[3m/sec\]
Answer» D.            \[3m/sec\]