Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force F when kept apart at some distance. A third spherical conductor having same radius as that of B but uncharged is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is 

(1) F/4

(2) 3 F/4

(3) F/8

(4) 3 F/8

Concept Questions :-

Coulomb's law
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Two equally charged, identical metal spheres A and B repel each other with a force 'F'. The spheres are kept fixed with a distance 'r' between them. A third identical, but uncharged sphere C is brought in contact with A and then placed at the mid-point of the line joining A and B. The magnitude of the net electric force on C is 

(1) F

(2) 3F/4

(3) F/2

(4) F/4

Concept Questions :-

Electric field
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An infinite number of charges, each of charge 1 μC, are placed on the x-axis with co-ordinates x = 1, 2, 4, 8, ....∞. If a charge of 1 C is kept at the origin, then what is the net force acting on 1 C charge 

(1) 9000 N

(2) 12000 N

(3) 24000 N

(4) 36000 N

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A charge q is placed at the centre of the line joining two equal charges Q. The system of the three charges will be in equilibrium, if q is equal to 

(1) Q2

(2) Q4

(3) +Q4

(4) +Q2 

Concept Questions :-

Coulomb's law
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Figure shows the electric lines of force emerging from a charged body. If the electric field at A and B are EA and EB respectively and if the displacement between A and B is r then 

(1) EA > EB

(2) EA < EB

(3) EA=EBr

(4) EA=EBr2

Concept Questions :-

Electric field
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ABC is an equilateral triangle. Charges +q are placed at each corner. The electric intensity at O will be 

(1) 14πε0qr2

(2) 14πε0qr

(3) Zero

(4) 14πε03qr2

Concept Questions :-

Electric field
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The magnitude of electric field intensity E is such that, an electron placed in it would experience an electrical force equal to its weight is given by 

(1) mge

(2) mge

(3) emg

(4) e2m2g

Concept Questions :-

Electric field
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A charge particle is free to move in an electric field. It will travel 

(1) Always along a line of force

(2) Along a line of force, if its initial velocity is zero

(3) Along a line of force, if it has some initial velocity in the direction of an acute angle with the line of force

(4) None of the above

Concept Questions :-

Electric field
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An uncharged sphere of metal is placed in between two charged plates as shown. The lines of force look like 

(1) A

(2) B

(3) C

(4) D

Concept Questions :-

Electric field
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The electric field near a conducting surface having a uniform surface charge density σ is given by 

(1) σε0 and is parallel to the surface

(2) 2σε0 and is parallel to the surface

(3) σε0 and is normal to the surface

(4) 2σε0 and is normal to the surface 

Concept Questions :-

Electric field
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