# 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

Subtopic:  Electric Field |
55%
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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 $$1~\text{C}$$ charge?
 1 $$9000$$ N 2 $$12000$$ N 3 $$24000$$ N 4 $$36000$$ N
Subtopic:  Coulomb's Law |
67%
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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) $+\frac{Q}{2}$

Subtopic:  Coulomb's Law |
67%
From NCERT
PMT - 1995
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The figure shows the electric lines of force emerging from a charged body. If the electric fields at A and B are EA and EB respectively and if the distance between A and B is r, then:

1. $$E_{A}~>~E _{B}$$
2. $$E_{A}~<~E _{B}$$
3. $$E_{A}~=~\frac{E_{B}}{r^{}}$$
4. $$E_{A}~=~\frac{E_{B}}{r^{2}}$$

Subtopic:  Electric Field |
88%
From NCERT
PMT - 1986
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$$ABC$$ is an equilateral triangle. Charges $$+q$$  are placed at each corner. The electric intensity at $$O$$ will be:

 1 $$\dfrac{1}{4\pi\epsilon _0}\dfrac{q}{r^{2}}$$ 2 $$\dfrac{1}{4\pi\epsilon _0}\dfrac{q}{r^{}}$$ 3 zero 4 $$\dfrac{1}{4\pi\epsilon _0}\dfrac{3q}{r^{2}}$$
Subtopic:  Electric Field |
87%
From NCERT
PMT - 1985
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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) $\frac{{e}^{2}}{{m}^{2}}g$

Subtopic:  Electric Field |
83%
From NCERT
PMT - 1975
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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

Subtopic:  Electric Field |
From NCERT
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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

Subtopic:  Electric Field |
76%
From NCERT
PMT - 1985
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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

Subtopic:  Electric Field |
77%
From NCERT
PMT - 1994
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The magnitude of electric field E in the annular region of a charged cylindrical capacitor

(1) Is same throughout

(2) Is higher near the outer cylinder than near the inner cylinder

(3) Varies as 1/r, where r is the distance from the axis

(4) Varies as 1/r2, where r is the distance from the axis

Subtopic:  Electric Field |
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