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Electrostatics question

2016 · 9 Apr · Shift 1 · Q54

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JEE Main
Physics
Electrostatics
2016 · 9 Apr · Shift 1 · Q54

Electrostatics question

2016 · 9 Apr · Shift 1 · Q54

JEE MainPhysicsElectrostaticsMCQ+4 / −1

The potential (in volts) of a charge distribution is given by. V(z) = 30

-

5x2 for

\left| z \right|

\le

1 m. V(z) = 35

-

10

\left| z \right|

for

\left| z \right|

\ge

1 m. V(z) does not depend on x and y. If this potential is generated by a constant charge per unit volume

{\rho _0}

(in units of

{\varepsilon _0}

) which is spread over a certain region, then choose the correct statement.

A
${\rho _0}$ = 10 ${\varepsilon _0}$ for $\left| z \right|$ $\le$ 1 m and ${\rho _0} = 0$ elsewhere
B
${\rho _0}$ = 20 ${\varepsilon _0}$ in the entire region
C
${\rho _0}$ = 40 ${\varepsilon _0}$ in the entire region
D
${\rho _0}$ = 20 ${\varepsilon _0}$ for $\left| z \right|$ $\le$ 1 m and ${\rho _0} = 0$ elsewhere

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