Home
Class 12
PHYSICS
An insulating solid sphere of radius R h...

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 infinity is zero.
Statement-1: When a charge 'q' is taken from the centre to the surface of the sphere, its potential energy changes 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 , 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

Text Solution

Verified by Experts

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

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

  • 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

  • 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

  • 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

    A non-conducting sphere of radius R is given a charge Q. Charge is uniformly distributed in its volume. The electric potential at centre and at the surface of sphere respectively are

    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

    A solid sphere of radius R has charge q uniformly distributed over its volume. The distance from it surfce at which the electrostatic potential is equal to half of the potential at the centre is

    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

    Home
    Profile