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1. 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

Correct Answers :

[B]

Explanation :

2. In the previous question, if e = electronic charge, the minimum
magnitude of Q is

Correct Answers :

[C]

Explanation :

3. Two particles, each of mass *m* and carrying charge Q, are
separated by some distance. If they are in equilibrium under mutual gravitational and electrostatic forces then Q/*m* (in C/kg)
is of the order of

Correct Answers :

[B]

Explanation :

4. In the previous question, the equilibrium is

Correct Answers :

[C]

Explanation :

5. Three point charges are placed at the corners of an equilateral
triangle. Assume that only electrostatic forces are acting.

Correct Answers :

[D]

Explanation :

6. Charge Q is divided into two parts which are then kept some
distance apart. The force between them will be maximum if the
two parts are

Correct Answers :

[A]

Explanation :

7. Two identical positive charges are fixed on the *y*-axis, at equal
distances from the origin O. A particle with a negative charge starts on the *x*-axis at a large distance from O, moves along the
*x*-axis, passes through O and moves far away from O. Its acceleration a is taken as positive along its direction of motion.
The particleâ€™s acceleration *a* is plotted against its *x*-coordinate. Which of the following best represents the plot?

Correct Answers :

[B]

Explanation :

8. Two identical point charges are placed at a separation of *l*. P is a
point on the line joining the charges, at a distance *x* from any one
charge. The field at P is E. E is plotted against *x* for values of *x*
from close to zero to slightly less than *l*. Which of the following
best represents the resulting curve?

Correct Answers :

[D]

Explanation :

9. Two identical pendulums, A and B, are suspended from the
same point. The bobs are given positive charges, with A having
more charge than B. They diverge and reach equilibrium, with A
and B making angles θ1 and θ2 with the vertical respectively.

Correct Answers :

[C]

Explanation :

10. A point charge Q is moved along a circular path around another
fixed point charge. The work done is zero

Correct Answers :

[D]

Explanation :

11. In a regular polygon of n sides, each corner is at a distance r from
the centre. Identical charges of magnitude Q are placed at (n - 1)
corners. The field at the centre is

Correct Answers :

[A]

Explanation :

12. A half ring of radius R has a charge of λ per unit length. The
potential at the centre of the half ring is

Correct Answers :

[D]

Explanation :

13. In the previous question, the field at the centre is

Correct Answers :

[C]

Explanation :

14. Two identical metal balls with charges +2Q and -Q are separated
by some distance, and exert a force F on each other. They are
joined by a conducting wire, which is then removed. The force
between them will now be

Correct Answers :

[D]

Explanation :

15. Charge Q is given a displacement in an electric field

Correct Answers :

[A]

Explanation :

16. Let V_{0} be the potential at the origin in an electric field . The potential at the point (x, y) is

Correct Answers :

[A]

Explanation :

17.

A point charge*q* moves from point P to point S along the path
PQRS in a uniform electric field pointing parallel to the positive direction of the *x*-axis. The coordinates of the points P, Q, R and
S are *(a, b, 0), (2a, 0, 0), (a, -b, 0)* and (0, 0, 0) respectively. The work done by the field in the above process is given by the
expression

A point charge

Correct Answers :

[B]

Explanation :

18. The electric potential V at any point x, y, z (all in metres) in space
is given by *V* = 4*x*^{2} volts. The electric field (in V/m) at the point (1 m, 0, 2 m) is

Correct Answers :

[A]

Explanation :

19. A nonconducting ring of radius 0.5 m carries a total charge of
1.11 X 10 ^{-10} C distributed nonuniformly on its circumference, producing an electric field everywhere in space. The value of the line integral (*l* = 0 being the centre of the ring) in volts is

Correct Answers :

[A]

Explanation :

20. A charge +q is placed at each of the points* x* = *x*_{0},* x* = 3x_{0}, x = 5x_{0},
.. ad infinitum on the * x*-axis, and a charge *-q* is placed at each of
the points * x* = 2* x*_{0}, * x* = 4* x*_{0}, * x* = 6* x*_{0}, ... ad infinitum. Here, * x*_{0} is a positive constant. Take the electric potential at a point due to a
charge Q at a distance *r* from it to be Q/(4πε_{0}*r*). Then, the
potential at the origin due to the above system of charges is

Correct Answers :

[D]

Explanation :

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