QBManager

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359353 Assertion :
An electron moves from a region of lower potential to a region of higher potential
Reason :
An electron has a negative charge.

1 Both assertion and reason are correct and reason is the correct explanation of assertion.

2 Both assertion and reason are correct but reason is not the correct explanation of assertion.

3 Assertion is correct but reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359354 The electric field potential at a point in the space region depends only on $x$ coordinates as $V = - a x^{3} + b$ . Find the space charge density $ρ (x)$

1

4 a ε_{0} x

2

6 a ε_{0} x

3

a ε_{0} x

4

2 a ε_{0} x

Explanation:

$E = \frac{- d V}{d x} = 3 a x^{2}$
Using Gauss’s law in differential from
$\frac{\partial E}{\partial x} = \frac{ρ (x)}{ε_{0}} = 6 a x o r ρ (x) = 6 a ε_{0} x$

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359355 Electric potential of earth is taken to be zero because earth is a good

1 Insulator

2 Conductor

3 Semi conductor

4 Dielectric

Explanation:

Earth is a conducting sphere of large capacitance, $V = q / C$
As, $C$ is very large, so $V \to 0$ for all fintie charges.
Hence, earth is a conductor.

AIIMS - 2011

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359356 The potential (in volts) of a charge distribution is given by $V (z) = 30 - 5 z^{2}$ for $| z | \leq 1 m$ $V (z) = 35 - 10 | z |$ for $| z | \geq 1 m$ $V (z)$ does not depend on $x$ and $y$ . If this potential is generated by a constant charge per unit volume $ρ_{o},$ (in units of $ε_{o}$ ) which is spread over certain region, then choose the correct statement.

1

ρ_{o} = 40 ε_{o}

in the entire region.

2

ρ_{o} = 20 ε_{o}

in the entire region.

3

ρ_{o} = 20 ε_{o}

for

| z | \leq 1 m

and

ρ_{o} = 0

else where.

4

ρ_{o} = 10 ε_{o}

for

| z | \leq 1 m

and

ρ_{o} = 0

else where.

Explanation:

The differential form of Gauss law is
$\frac{d E}{d z} = \frac{ρ}{ε_{0}}$
For $| z | \leq 1 m \Rightarrow V = 30 - 5 z^{2}$
$E_{z} = \frac{- d V}{d z} = + 10 z$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 10 \Rightarrow ρ = 10 ε_{0}$
For $z > 1 m V = 35 - 10 z$
$E_{z} = \frac{- d V}{d z} = 10$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 0 \Rightarrow ρ = 0$
For $z < - 1 m \Rightarrow V = 35 - 10 z$
$E_{z} = \frac{- d V}{d z} = 10$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 0 \Rightarrow ρ = 0$

JEE - 2016

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359357 Assertion :
Charge is the rate of flow of current.
Reason :
Electric charge will not flow between two charged bodies when connected if their charges are same.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

Actually, current $I$ is rate of flow of charge $(Q), (I = \frac{Q}{t})$ . If bodies have the same charge, there will be no net flow of charge between them when connected because there's no potential difference to drive the flow. So correct option is (4).

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359353 Assertion :
An electron moves from a region of lower potential to a region of higher potential
Reason :
An electron has a negative charge.

1 Both assertion and reason are correct and reason is the correct explanation of assertion.

2 Both assertion and reason are correct but reason is not the correct explanation of assertion.

3 Assertion is correct but reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359354 The electric field potential at a point in the space region depends only on $x$ coordinates as $V = - a x^{3} + b$ . Find the space charge density $ρ (x)$

1

4 a ε_{0} x

2

6 a ε_{0} x

3

a ε_{0} x

4

2 a ε_{0} x

Explanation:

$E = \frac{- d V}{d x} = 3 a x^{2}$
Using Gauss’s law in differential from
$\frac{\partial E}{\partial x} = \frac{ρ (x)}{ε_{0}} = 6 a x o r ρ (x) = 6 a ε_{0} x$

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359355 Electric potential of earth is taken to be zero because earth is a good

1 Insulator

2 Conductor

3 Semi conductor

4 Dielectric

Explanation:

Earth is a conducting sphere of large capacitance, $V = q / C$
As, $C$ is very large, so $V \to 0$ for all fintie charges.
Hence, earth is a conductor.

AIIMS - 2011

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359356 The potential (in volts) of a charge distribution is given by $V (z) = 30 - 5 z^{2}$ for $| z | \leq 1 m$ $V (z) = 35 - 10 | z |$ for $| z | \geq 1 m$ $V (z)$ does not depend on $x$ and $y$ . If this potential is generated by a constant charge per unit volume $ρ_{o},$ (in units of $ε_{o}$ ) which is spread over certain region, then choose the correct statement.

1

ρ_{o} = 40 ε_{o}

in the entire region.

2

ρ_{o} = 20 ε_{o}

in the entire region.

3

ρ_{o} = 20 ε_{o}

for

| z | \leq 1 m

and

ρ_{o} = 0

else where.

4

ρ_{o} = 10 ε_{o}

for

| z | \leq 1 m

and

ρ_{o} = 0

else where.

Explanation:

The differential form of Gauss law is
$\frac{d E}{d z} = \frac{ρ}{ε_{0}}$
For $| z | \leq 1 m \Rightarrow V = 30 - 5 z^{2}$
$E_{z} = \frac{- d V}{d z} = + 10 z$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 10 \Rightarrow ρ = 10 ε_{0}$
For $z > 1 m V = 35 - 10 z$
$E_{z} = \frac{- d V}{d z} = 10$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 0 \Rightarrow ρ = 0$
For $z < - 1 m \Rightarrow V = 35 - 10 z$
$E_{z} = \frac{- d V}{d z} = 10$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 0 \Rightarrow ρ = 0$

JEE - 2016

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359357 Assertion :
Charge is the rate of flow of current.
Reason :
Electric charge will not flow between two charged bodies when connected if their charges are same.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

Actually, current $I$ is rate of flow of charge $(Q), (I = \frac{Q}{t})$ . If bodies have the same charge, there will be no net flow of charge between them when connected because there's no potential difference to drive the flow. So correct option is (4).

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359353 Assertion :
An electron moves from a region of lower potential to a region of higher potential
Reason :
An electron has a negative charge.

1 Both assertion and reason are correct and reason is the correct explanation of assertion.

2 Both assertion and reason are correct but reason is not the correct explanation of assertion.

3 Assertion is correct but reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359354 The electric field potential at a point in the space region depends only on $x$ coordinates as $V = - a x^{3} + b$ . Find the space charge density $ρ (x)$

1

4 a ε_{0} x

2

6 a ε_{0} x

3

a ε_{0} x

4

2 a ε_{0} x

Explanation:

$E = \frac{- d V}{d x} = 3 a x^{2}$
Using Gauss’s law in differential from
$\frac{\partial E}{\partial x} = \frac{ρ (x)}{ε_{0}} = 6 a x o r ρ (x) = 6 a ε_{0} x$

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359355 Electric potential of earth is taken to be zero because earth is a good

1 Insulator

2 Conductor

3 Semi conductor

4 Dielectric

Explanation:

Earth is a conducting sphere of large capacitance, $V = q / C$
As, $C$ is very large, so $V \to 0$ for all fintie charges.
Hence, earth is a conductor.

AIIMS - 2011

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359356 The potential (in volts) of a charge distribution is given by $V (z) = 30 - 5 z^{2}$ for $| z | \leq 1 m$ $V (z) = 35 - 10 | z |$ for $| z | \geq 1 m$ $V (z)$ does not depend on $x$ and $y$ . If this potential is generated by a constant charge per unit volume $ρ_{o},$ (in units of $ε_{o}$ ) which is spread over certain region, then choose the correct statement.

1

ρ_{o} = 40 ε_{o}

in the entire region.

2

ρ_{o} = 20 ε_{o}

in the entire region.

3

ρ_{o} = 20 ε_{o}

for

| z | \leq 1 m

and

ρ_{o} = 0

else where.

4

ρ_{o} = 10 ε_{o}

for

| z | \leq 1 m

and

ρ_{o} = 0

else where.

Explanation:

The differential form of Gauss law is
$\frac{d E}{d z} = \frac{ρ}{ε_{0}}$
For $| z | \leq 1 m \Rightarrow V = 30 - 5 z^{2}$
$E_{z} = \frac{- d V}{d z} = + 10 z$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 10 \Rightarrow ρ = 10 ε_{0}$
For $z > 1 m V = 35 - 10 z$
$E_{z} = \frac{- d V}{d z} = 10$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 0 \Rightarrow ρ = 0$
For $z < - 1 m \Rightarrow V = 35 - 10 z$
$E_{z} = \frac{- d V}{d z} = 10$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 0 \Rightarrow ρ = 0$

JEE - 2016

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359357 Assertion :
Charge is the rate of flow of current.
Reason :
Electric charge will not flow between two charged bodies when connected if their charges are same.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

Actually, current $I$ is rate of flow of charge $(Q), (I = \frac{Q}{t})$ . If bodies have the same charge, there will be no net flow of charge between them when connected because there's no potential difference to drive the flow. So correct option is (4).

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359353 Assertion :
An electron moves from a region of lower potential to a region of higher potential
Reason :
An electron has a negative charge.

1 Both assertion and reason are correct and reason is the correct explanation of assertion.

2 Both assertion and reason are correct but reason is not the correct explanation of assertion.

3 Assertion is correct but reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359354 The electric field potential at a point in the space region depends only on $x$ coordinates as $V = - a x^{3} + b$ . Find the space charge density $ρ (x)$

1

4 a ε_{0} x

2

6 a ε_{0} x

3

a ε_{0} x

4

2 a ε_{0} x

Explanation:

$E = \frac{- d V}{d x} = 3 a x^{2}$
Using Gauss’s law in differential from
$\frac{\partial E}{\partial x} = \frac{ρ (x)}{ε_{0}} = 6 a x o r ρ (x) = 6 a ε_{0} x$

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359355 Electric potential of earth is taken to be zero because earth is a good

1 Insulator

2 Conductor

3 Semi conductor

4 Dielectric

Explanation:

Earth is a conducting sphere of large capacitance, $V = q / C$
As, $C$ is very large, so $V \to 0$ for all fintie charges.
Hence, earth is a conductor.

AIIMS - 2011

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359356 The potential (in volts) of a charge distribution is given by $V (z) = 30 - 5 z^{2}$ for $| z | \leq 1 m$ $V (z) = 35 - 10 | z |$ for $| z | \geq 1 m$ $V (z)$ does not depend on $x$ and $y$ . If this potential is generated by a constant charge per unit volume $ρ_{o},$ (in units of $ε_{o}$ ) which is spread over certain region, then choose the correct statement.

1

ρ_{o} = 40 ε_{o}

in the entire region.

2

ρ_{o} = 20 ε_{o}

in the entire region.

3

ρ_{o} = 20 ε_{o}

for

| z | \leq 1 m

and

ρ_{o} = 0

else where.

4

ρ_{o} = 10 ε_{o}

for

| z | \leq 1 m

and

ρ_{o} = 0

else where.

Explanation:

The differential form of Gauss law is
$\frac{d E}{d z} = \frac{ρ}{ε_{0}}$
For $| z | \leq 1 m \Rightarrow V = 30 - 5 z^{2}$
$E_{z} = \frac{- d V}{d z} = + 10 z$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 10 \Rightarrow ρ = 10 ε_{0}$
For $z > 1 m V = 35 - 10 z$
$E_{z} = \frac{- d V}{d z} = 10$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 0 \Rightarrow ρ = 0$
For $z < - 1 m \Rightarrow V = 35 - 10 z$
$E_{z} = \frac{- d V}{d z} = 10$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 0 \Rightarrow ρ = 0$

JEE - 2016

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359357 Assertion :
Charge is the rate of flow of current.
Reason :
Electric charge will not flow between two charged bodies when connected if their charges are same.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

Actually, current $I$ is rate of flow of charge $(Q), (I = \frac{Q}{t})$ . If bodies have the same charge, there will be no net flow of charge between them when connected because there's no potential difference to drive the flow. So correct option is (4).

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359353 Assertion :
An electron moves from a region of lower potential to a region of higher potential
Reason :
An electron has a negative charge.

1 Both assertion and reason are correct and reason is the correct explanation of assertion.

2 Both assertion and reason are correct but reason is not the correct explanation of assertion.

3 Assertion is correct but reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359354 The electric field potential at a point in the space region depends only on $x$ coordinates as $V = - a x^{3} + b$ . Find the space charge density $ρ (x)$

1

4 a ε_{0} x

2

6 a ε_{0} x

3

a ε_{0} x

4

2 a ε_{0} x

Explanation:

$E = \frac{- d V}{d x} = 3 a x^{2}$
Using Gauss’s law in differential from
$\frac{\partial E}{\partial x} = \frac{ρ (x)}{ε_{0}} = 6 a x o r ρ (x) = 6 a ε_{0} x$

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359355 Electric potential of earth is taken to be zero because earth is a good

1 Insulator

2 Conductor

3 Semi conductor

4 Dielectric

Explanation:

Earth is a conducting sphere of large capacitance, $V = q / C$
As, $C$ is very large, so $V \to 0$ for all fintie charges.
Hence, earth is a conductor.

AIIMS - 2011

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359356 The potential (in volts) of a charge distribution is given by $V (z) = 30 - 5 z^{2}$ for $| z | \leq 1 m$ $V (z) = 35 - 10 | z |$ for $| z | \geq 1 m$ $V (z)$ does not depend on $x$ and $y$ . If this potential is generated by a constant charge per unit volume $ρ_{o},$ (in units of $ε_{o}$ ) which is spread over certain region, then choose the correct statement.

1

ρ_{o} = 40 ε_{o}

in the entire region.

2

ρ_{o} = 20 ε_{o}

in the entire region.

3

ρ_{o} = 20 ε_{o}

for

| z | \leq 1 m

and

ρ_{o} = 0

else where.

4

ρ_{o} = 10 ε_{o}

for

| z | \leq 1 m

and

ρ_{o} = 0

else where.

Explanation:

The differential form of Gauss law is
$\frac{d E}{d z} = \frac{ρ}{ε_{0}}$
For $| z | \leq 1 m \Rightarrow V = 30 - 5 z^{2}$
$E_{z} = \frac{- d V}{d z} = + 10 z$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 10 \Rightarrow ρ = 10 ε_{0}$
For $z > 1 m V = 35 - 10 z$
$E_{z} = \frac{- d V}{d z} = 10$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 0 \Rightarrow ρ = 0$
For $z < - 1 m \Rightarrow V = 35 - 10 z$
$E_{z} = \frac{- d V}{d z} = 10$
$\frac{d E_{z}}{d z} = \frac{ρ}{ε_{0}} = 0 \Rightarrow ρ = 0$

JEE - 2016

PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359357 Assertion :
Charge is the rate of flow of current.
Reason :
Electric charge will not flow between two charged bodies when connected if their charges are same.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

Explanation:

Actually, current $I$ is rate of flow of charge $(Q), (I = \frac{Q}{t})$ . If bodies have the same charge, there will be no net flow of charge between them when connected because there's no potential difference to drive the flow. So correct option is (4).

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Question Bank Series

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation:

Explanation: