Home
Class 12
PHYSICS
Two small spheres, each carrying a charg...

Two small spheres, each carrying a charge q are placed r m apart and they interact with force F. If one of the sphere is taken around the other once in a circular path, the work done will be equal to

A

`2pir^2`

B

`2pir`

C

`pir`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D

Electric force during the circular motion of the sphere remains perpendicular to its displacement all the time. Because at every instant displacement of the sphere is directed along the tangent to the circular path and electric force remains along radial direction. Hence, the net work done is zero.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise COMPETITION FILE ( Objective Question (BA.MCQ))|3 Videos
  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise COMPETITION FILE ( Objective Question (BB.MCQ))|22 Videos
  • ELECTRIC CHARGES AND FIELDS

    MODERN PUBLICATION|Exercise COMPETITION FILE ( Objective Question (A.MCQ) )|56 Videos
  • DUAL NATURE OF RADIATION AND MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos
  • ELECTROMAGNETIC INDUCTION

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST FOR BOARD EXAMINATION|14 Videos

Similar Questions

Explore conceptually related problems

(a) Two identical spheres having positive charges are placed 3 m apart repel each other with a force 8 xx 10^(-3) N . Now charges are connected by a metallic wire, they begin to repel each other with a force of 9 xx 10^(-3) N . Find initial charges on the spheres. (b) Two identical spheres having charges of opposite sign are placed 3 m apart attract other with a force 2.4 xx 10^(-3) N . Now spheres are touched and then placed at original separation repel with a force 10^(-3) N . Find initial charges on the spheres.

Two indentical metallic spheres A and B, each carrying a charge q repel each other with a force F. A third metallic uncharged sphere C of the same size is made to touch the spheres A and B alternately and then removed away. What is the force of repulsion between A and B ?

Knowledge Check

  • Two spheres, each of mass 625 kg, are placed with their centres 50 cm apart. The gravitational force between them is

    A
    10.42 dyne
    B
    15.42 dyne
    C
    20.42 dyne
    D
    5.42 dyne
  • Two identical spheres with charges 4_q-2_q kept some distance apart exert a force F on each other, if they are made to touch each other and replaced at their old positions, the force between them will be

    A
    `1/9F`
    B
    `1/8F`
    C
    `9/8F`
    D
    `8/9F`
  • Two identical spheres with charges 4q,-2q kept some distance apart exert a force F on each other if they are made to touch each other and replaced at their old positions , the force between them will be

    A
    `(1)/(8)F`
    B
    `(9)/(8)F`
    C
    `(8)/(9)F`
    D
    `(1)/(9)F`
  • Similar Questions

    Explore conceptually related problems

    Two small spheres of radius 'a' each carrying charges +q and -q are placed at points A and B, distance d apart. Calcualte potential difference between points A and B.

    Two metallic spheres of radii a and b are placed faraway from each other and are connected for a thin conducting wire. A charge Q is given to one of the spheres . Calculate the charge on each sphere at electrostatic equilibrium.

    A uniformly charged sphere, made up of non-conducting material and carrying charge Q, is placed near a uniformly charged non-conducting rod, carrying charge q. The centre of the sphere lies on the perpendicular bisector of the rod as shown in the figure. Calculate the force exerted by the sphere on the rod.

    The force between two points charges +q and -q, separated by a distance r is F. if one charge remains stationary while the other moves around it in a circle of radius r, then the work done is given by

    Three identical spheres, each having a charge q and radius R. are kept in such a way that each touches the other two. The magnitude of the electric force on any sphere due to the other two is