Two equal negative charges of charge \(-q\) are fixed at the points \((0,a)\) and \((0,-a)\) on the \(Y\text-\)axis. A positive charge \(Q\) is released from rest at the point \((2a,0)\) on the \(X\text-\)axis. The charge \(Q\) will:
1. execute simple harmonic motion about the origin.
2. move to the origin and remain at rest.
3. move to infinity.
4. execute oscillatory but not simple harmonic motion.

Subtopic:  Coulomb's Law |
 54%
From NCERT
PMT - 1996
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An electrostatic line of force in the xy plane is given by equation x2 + y2 = 1. A particle with unit positive charge, initially at rest at the point x = 1, y = 0 in the xy plane will -

1. Not move at all

2. Will move along straight line

3. Will move along the circular line of force

4. The data given in the question is contradictory

Subtopic:  Electric Field |
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A positively charged ball hangs from a silk thread. We put a positive test charge q0 at a point and measure F/q0, then it can be predicted that the electric field strength E 

(1) > F/q0

(2) = F/q0

(3) < F/q0

(4) Cannot be estimated

Subtopic:  Electric Field |
From NCERT
PMT - 1990
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A solid metallic sphere has a charge +3Q. Concentric with this sphere is a conducting spherical shell having charge –Q. The radius of the sphere is a and that of the spherical shell is (b > a). What is the electric field at a distance R(a < R < b) from the centre 

(1) Q2πε0R

(2) 3Q2πε0R

(3) 3Q4πε0R2

(4) 4Q4πε0R2 

Subtopic:  Electric Field |
 70%
From NCERT
PMT - 1995
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A point charge \(q\) is placed at a distance \(\frac{a}{2}\) directly above the centre of a square of side \(a\). The electric flux through the square (i.e. one face) is:
1. \(\frac{q}{\varepsilon_0}\)
2. \(\frac{q}{\pi\varepsilon_0}\)
3. \(\frac{q}{4\varepsilon_0}\)
4. \(\frac{q}{6\varepsilon_0}\)

Subtopic:  Gauss's Law |
 62%
From NCERT
PMT - 1997
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Two infinitely long parallel wires having linear charge densities λ1 and λ2 respectively are placed at a distance of R meters. The force per unit length on either wire will be K=14πε0

(1) K2λ1λ2R2

(2) K2λ1λ2R

(3) Kλ1λ2R2 

(4) Kλ1λ2R

Subtopic:  Electric Field |
 59%
From NCERT
PMT - 1998
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The charge on 500 cc of water due to protons will be:

1. 6.0 × 1027 C
2. 2.67 × 107 C
3. 6 × 1023 C
4. 1.67 × 1023 C

Subtopic:  Electric Charge |
 62%
From NCERT
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In the given figure two tiny conducting balls of identical mass m and identical charge q hang from non-conducting threads of equal length L. Assume that θ is so small that tanθsinθ, then for equilibrium x is equal to 

(1) q2L2πε0mg13

(2) qL22πε0mg13

(3) q2L24πε0mg13

(4) q2L4πε0mg13

Subtopic:  Coulomb's Law |
 59%
From NCERT
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Three positive charges of equal value q are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in 

(1)   (2)

(3)    (4)

Subtopic:  Electric Field |
 76%
From NCERT
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Two equal charges are separated by a distance d. A third charge placed on a perpendicular bisector at x distance will experience maximum coulomb force when 

(1) x=d2

(2) x=d2

(3) x=d22

(4) x=d23

Subtopic:  Coulomb's Law |
From NCERT
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