New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Electrostatics question

2012 · Shift 0 · Q59

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Physics
Electrostatics
2012 · Shift 0 · Q59

Electrostatics question

2012 · Shift 0 · Q59

JEE MainPhysicsElectrostaticsMCQ+4 / −1

This question 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 center 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

{{q\rho } \over {3{\varepsilon _0}}}

Statement-

2:

The electric field at a distance

r\left( {r \lt R} \right)

from the center of the sphere is

{{\rho r} \over {3{\varepsilon _0}}}.

A
Statement- $1$ is true, Statement- $2$ is true; Statement- $2$ is not the correct explanation of Statement- $1$ .
B
Statement $1$ is true, Statement $2$ is false.
C
Statement $1$ is false, Statement $2$ is true.
D
Statement- $1$ is true, Statement- $2$ is true; Statement- $2$ is the correct explanation of Statement- $1$ .

More from Electrostatics

In a uniformly charged sphere of total charge $E$ and radius $R,$ the electric field $E$ is plotted as function of distance from the center. The graph which would correspond to the above will be:2012 · MCQ
The electrostatic potential inside a charged spherical ball is given by $ϕ = a r^{2} + b$ where $r$ is the distance from the center and $a, b$ are constants. Then the charge density inside the ball is:2011 · MCQ
Two identical charged spheres suspended from a common point by two massless strings of length $l$ are initially a distance $d (d << 1)$ apart because of their mutual repulsion. The charge begins to leak from both the…2011 · MCQ
A thin semi-circular ring of radius $r$ has a positive charges $q$ distributed uniformly over it. The net field $E$ at the center $O$ is Includes diagram2010 · MCQ
Let there be a spherically symmetric charge distribution with charge density varying as $ρ (r) = ρ_{0} (\frac{5}{4} - \frac{r}{R})$ upto $r = R,$ and $ρ (r) = 0$ for $r > R,$ where $r$ …2010 · MCQ
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of $3 0^{\circ}$ with each other. When suspended in a liquid of density $0.8 g c m^{- 3},$ the angle remains the same. If density of the…2010 · MCQ
Two points $P$ and $- 4 V$ are maintained at the potentials of $10 V$ and $- 4 V$ , respectively. The work done in moving $100$ electrons from $P$ to $Q$ is :2009 · MCQ
(This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.) Statement-1 : For a charged particle moving from point $P$ to point $Q$ , the net…2009 · MCQ