Home
Class 11
PHYSICS
An insulating solid sphere of radius R h...

An insulating solid sphere of radius R has a uniformaly positive charge density `rho`. As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinity is zero.
Statement-1: Wgen a charge 'q' is taken from the centre to the surface of the sphere, its potential energy charges by `(qrho)/(3 in_(0))`
Statement-2 : The electric field at a distance `r (r lt R)` from the centre of the the sphere is `(rho r)/(3in_(0))`

A

Statement-1 is true, Statement-2 is true and Statement-2 is the correct explanation of Statement-1

B

Statement-1 is true, Statement-2 is true and Statement-2 is not the correct explanation of Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-05(B)|19 Videos

  • MISCELLANEOUS

    ALLEN|Exercise MCQ s WITH ONE OR MORE THAN ONE CORRECT ANSWER|6 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exersice-04[B]|16 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

A solid of radius 'R' is uniformly charged with charge density rho in its volume. A spherical cavity of radius R/2 is made in the sphere as shown in the figure. Find the electric potential at the centre of the sphere.

A solid conducting sphere of radius r is having a charge of Q and point charge q is a distance d from the centre of sphere as shown. The electric potential at the centre of the solid sphere is :

Knowledge Check

  • This questions has statement-1 and statement-2. Of the four choices given after the statements, choose the one that best describe the two statements. An insulating solid sphere of radius R has a uniformly positive charge density rho . As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinite is zero. Statement-1: When a charge q is take from the centre of the surface of the sphere its potential energy changes by (qrho)/(3epsilon_0) . Statement-2: The electric field at a distance r(rltR) from the centre of the sphere is (rhor)/(3epsilon_0) .

    A
    (a) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of statement 1.
    B
    (b) Statement 1 is true Statement 2 is false.
    C
    (c) Statement 1 is false Statement 2 is true.
    D
    (d) `Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation of Statement 1

  • The questions has statement -1 and statement -2 Of the four choices given after the statements , choose the one that best describe the two statements . An insulating sokid sphere of radus R has a unioformly postive charge density f a . As a result of this uniform charge distribution thereis a finite value of elctric potential at the centre of the sphere , at the surface of the sphere and also at a poiny out side the sphere . The electric potential at infinite is zero. Statement -1 : When a charge q . is take from the centre of the surface of the sphere its potential energy charges by (q rho)/( 3 varepsilon_0) Statement - 2: The electric field at a distance r ( r lt R) from the centre of the sphere si ( q rho)/( 3 varepsilon_0) .

    A
    Statement -1 is true , Statemnt -2 is true .
    Statemtnt -2 is not the correct explantion of
    Staement -1
    B
    Statemnt -1 is false , Statement -2 is true .
    C
    Statemnt -1 is false , Statement -2 is true .
    D
    Statement -1 is true , Statemnt -2 is true .
    Statemtnt -2 is not the correct explantion of
    Staement -1

  • In the above problem, find the electric field and electric potential at the centre of the sphere due to induced charges on the sphere?

    A
    `(1)/(4pi in_(0)) (Q)/(R^(2)) and 0`
    B
    `0 and (1)/(4pi in_(0)) (Q)/(R )`
    C
    `(1)/(4pi in_(0)) (Q)/(R^(2)) and (1)/(4pi in_(0)) (Q)/(R )`
    D
    0 and 0

    • Similar Questions

    Explore conceptually related problems

    An isolated solid metal sphere of radius R is given an electric charge. The variation of the intensity of the electric field with the distance r from the centre of the sphere is best shown by

    A conducting sphere of radius R is charged to a potential of V volt. Then the electric field at a distance r (gt R) from the centre of the sphere would be

    A conducting sphere of radius R is charged to a potential of V volts. Then the electric field at a distance r ( gt R) from the centre of the sphere would be

    An insulating solid sphere of the radius R is charged in a non - uniform manner such that the value charge density rho=(A)/(r ) , where A is a positive constant and r is distance from the centre. The potential difference between the centre and surface of the sphere is

    An insulating solid sphere of the radius R is charged in a non - uniform manner such that the volume charge density rho=(A)/(r ) , where A is a positive constant and r is the distance from the centre. The potential difference between the centre and surface of the sphere is

    Home
    Profile