Home
Class 12
PHYSICS
Paragraph for Questions 53 and 54: An is...

Paragraph for Questions 53 and 54: An isolated system consists of two conducting spheres A and B. Sphere A has five times the radius of sphere B. Initially, the spheres are given equal amounts of positive charge and are isolated from each other. The two spheres are then connected by a conducting wire.
Note: The potential of a sphere of radius R that carries a charge `Q` is `V = kQ//R`, if the potential at infinity is zero.
Which one of the following statements is true after the spheres are connected by the wire?

A

The electric potential of A is 1/25 as large as that of B.

B

The electric potential of A equals that of B.

C

The electric potential of A is 25 times larger than that of B.

D

The electric potential of A is 1/5 as large as that of B.

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTRIC POTENTIAL

    RESNICK AND HALLIDAY|Exercise (PRACTICE QUESTIONS) Matrix-Match|4 Videos

  • ELECTRIC POTENTIAL

    RESNICK AND HALLIDAY|Exercise (PRACTICE QUESTIONS) Integer Type|1 Videos

  • ELECTRIC POTENTIAL

    RESNICK AND HALLIDAY|Exercise (PRACTICE QUESTIONS) More than One Correct Choice Type|8 Videos

  • ELECTRIC CHARGES AND FIELDS

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer Type )|3 Videos

  • ELECTROMAGNETIC INDUCTION

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|14 Videos

Similar Questions

Explore conceptually related problems

A conducting ball of radius r is charged to a potential V_0 . It is enveloped by a thin walled conducting sphere of radius R (gt r) and the two spheres are connected by a conducting wire. Find the potential of the outer sphere.

A metal sphere A of radius a is charged to potential V. What will be its potential if it is enclosed ny a spherical conducting shell B of radius b and the two are connected by a wire ?

Knowledge Check

  • Paragraph for Questions 53 and 54: An isolated system consists of two conducting spheres A and B. Sphere A has five times the radius of sphere B. Initially, the spheres are given equal amounts of positive charge and are isolated from each other. The two spheres are then connected by a conducting wire. Note: The potential of a sphere of radius R that carries a charge Q is V = kQ//R , if the potential at infinity is zero. Determine the ratio of the charge on sphere A to that on sphere B, q_A // q_B , after the spheres are connected by the wire.

    A
    1
    B
    `1//5`
    C
    `5`
    D
    `25`

  • A conducting sphere of radius r has a charge . Then .

    A
    the charge is uniformly distributed over its surface if there is an external electric field .
    B
    Distribution of charge over its surface will be non uniform if no external electric field exist in space,
    C
    Electric field strength inside the sphere will be equal to zero only when no external electric field exists
    D
    Potential at every point of the sphere must be same

  • Two conducting spheres of radii 5 cm and 10 cm are given a charge of 15mu F each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is

    A
    `5 muC`
    B
    `10 muC`
    C
    `15 muC`
    D
    `20 muC`

    • Similar Questions

    Explore conceptually related problems

    A solid conducting sphere of radius r is given some charge. Then :

    Potential at a point x-distance from the centre inside the conducting sphere of radius R and charged with charge Q is

    The capacitance of an isolated conducting sphere of radius r is

    A conducting sphere of radius R and carrying a charge Q is joined to an uncharged conducting sphere of radius 2R . The charge flowing between them will be

    Two metal spheres A and B of radii a & b (a lt b) respectively are at a large distance apart. Each sphere carries a charge of 100 mu O. the sphere are connected by a conducting wire, then

    Home
    Profile