QJEEM12Phfe2c: JEE Main 2012 Physics - Class 12 JEEM12Phfe2c Solution: This question has statement- 1 and statement- 2. Of the four…

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QJEEM12Phfe2c: JEE Main 2012 Physics - Class 12 JEEM12Phfe2c Solution: This question has statement- 1 and statement- 2. Of the four…

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

ρ

. 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 $\frac{q ρ}{3 ε_{0}}$
Statement- $2 :$ The electric field at a distance $r (r < R)$ from the center of the sphere is $\frac{ρ r}{3 ε_{0}} .$

Multiple Choice Options

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.

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Accepted Answer

The electric field inside a uniformly charged sphere is

=

\frac{ρ . r}{3 \in_{0}}

The electric potential inside a uniformly charged sphere

= \frac{ρ R^{2}}{6 \in_{0}} [3 - \frac{r^{2}}{R^{2}}]

∴

Potential difference between center and surface

= \frac{ρ R^{2}}{6 \in_{0}} [3 - 2] = \frac{ρ R^{2}}{6 \in_{0}}

Δ U = \frac{q ρ R^{2}}{6 \in_{0}}

QJEEM12Phfe2c: JEE Main 2012 Physics - Class 12 JEEM12Phfe2c Solution: This question has statement- 1 and statement- 2. Of the four…

Multiple Choice Options

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