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) 3*F*/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) $-\frac{Q}{2}$

(2) $-\frac{Q}{4}$

(3) $+\frac{Q}{4}$

(4) $+\frac{Q}{2}$

PMT - 1995

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 *E _{A}* and

(1) *E _{A}* >

(2) *E _{A}* <

(3) ${E}_{A}=\frac{{E}_{B}}{r}$

(4) ${E}_{A}=\frac{{E}_{B}}{{r}^{2}}$

PMT - 1986

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) $\frac{1}{4\pi {\epsilon}_{0}}\frac{q}{{r}^{2}}$

(2) $\frac{1}{4\pi {\epsilon}_{0}}\frac{q}{r}$

(3) Zero

(4) $\frac{1}{4\pi {\epsilon}_{0}}\frac{3q}{{r}^{2}}$

PMT - 1985

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) $\frac{mg}{e}$

(3) $\frac{e}{mg}$

(4) $\frac{{e}^{2}}{{m}^{2}}g$

PMT - 1975

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*

PMT - 1985

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) $\frac{\sigma}{{\epsilon}_{0}}$ and is parallel to the surface

(2) $\frac{2\sigma}{{\epsilon}_{0}}$ and is parallel to the surface

(3) $\frac{\sigma}{{\epsilon}_{0}}$ and is normal to the surface

(4) $\frac{2\sigma}{{\epsilon}_{0}}$ and is normal to the surface

PMT - 1994

Concept Questions :-

Electric field

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