The capacity of a spherical conductor in ${\rm{MKS}}$ system is

$\frac{R}{{4\pi {\varepsilon _0}}}$

$\frac{{4\pi {\varepsilon _0}}}{R}$

Back to ELECTRIC POTENTIAL AND CAPACITANCE

Your Progress

0 / 407 Answered

Correct

Incorrect

Accuracy

JEE • PHYSICS • ELECTRIC POTENTIAL AND CAPACITANCE

Electric potential and capacitance practice · Mixed difficulty

Try a question, then open “View answer” to check it. Sign in to submit answers and save progress.

Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

Take a chapter quiz →

Showing 1-30 of 407 questions

1 Medium

1 of 407

Application +4 | -1

The potential at a point distance

x

(measured in

\mu \mathrm{m}

) due to some charges situated on the

x

axis is given by

V(x)=\frac{20}{x^2-5} \mathrm{V}

. The electric field at

x=5 \mu \mathrm{m}

is given by:

View answer and explanation

Correct option: A

\frac{5}{10} \mathrm{V \mu} \mathrm{m}^{-1}

and in positive

{x}

-direction

Option A (

\frac{5}{10} \mathrm{V \mu} \mathrm{m}^{-1}

and in positive

{x}

-direction) is correct because it accurately calculates the electric field at

x=5 \mu \mathrm{m}

by differentiating the given potential function.

2 Medium

2 of 407

Analyzing +4 | -1

A parallel plate capacitor is connected to a 5V battery and charged. The battery is then disconnected and a glass slab is introduced between the plates. Then, the quantities that decrease are

View answer and explanation

Correct option: D

energy stored and potential difference

Option B (Less than the work done by air friction in the second

100m

) is correct because the velocity increases during the first 100m, reaching terminal velocity, hence air friction is less in the first 100m.

3 Medium

3 of 407

Understanding +4 | -1

A conducting sphere of radius

R

is given a charge

Q

. The electric potential and the electric field at the centre of the sphere respectively are

View answer and explanation

Correct option: B

\frac{Q}{4 \pi \varepsilon_0 R}

and zero

Option B (

\frac{{Q}}{{4 \pi \varepsilon_0 R}}

and zero) is correct because the electric potential is constant inside a conductor, and the electric field inside a conductor is zero.

4 Medium

4 of 407

Application +4 | -1

Two capacitors when connected in series have a capacitance of

3\mu F,\,

and when connected in parallel have a capacitance of

16\mu F

. Their individual capacities are

View answer and explanation

Correct option: C

12\mu F,\,\,4\mu F

Option C (

12\mu F,\,4\mu F

) is correct because these values satisfy both the series and parallel capacitance equations.

5 Hard

5 of 407

Analyzing +4 | -1

Statement-1: If temperature is increased, the dielectric constant of a polar dielectric decreases whereas that of a non-polar dielectric does not change significantly.
Statement-2: The magniude of dipole moment of individual polar molecule decreases significantly with increase in temperature.

View answer and explanation

Correct option: D

Statement-1 is false, Statement-2 is true

Option D (Statement-1 is false, Statement-2 is true) is correct because the dipole moment of individual polar molecules remains constant with temperature, but the dielectric constant of polar dielectrics decreases due to thermal agitation.

6 Medium

6 of 407

Understanding +4 | -1

An electric dipole when placed in a uniform electric field

E

will have minimum potential energy, if the positive direction of dipole moment makes the following angle with

E

View answer and explanation

Correct option: C

Zero

Option C (Zero) is correct because the potential energy of an electric dipole is minimum when the angle between the dipole moment and the electric field is zero.

7 Medium

7 of 407

Application +4 | -1

A charge of

5 \mu \mathrm{C}

is placed at the centre of a square

\mathrm{ABCD}

of side

10 \mathrm{~cm}

. Find the work done (in

\mu J)

in moving a charge of

1 \mu \mathrm{C}

from

\mathrm{A}

\mathrm{B}

View answer and explanation

Correct option: D

Option D (0) is correct because the work done in moving a charge between two points at the same potential is zero.

8 Medium

8 of 407

Analyzing +4 | -1

Assertion (A) : An independent negative charge moves itself from point

A

to point

B

. Then, potential at

A

should be less than potential at

B

.

Reason (R): While moving from

A

B

kinetic energy of electron will increase.

View answer and explanation

Correct option: B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

Option B (If both Assertion and Reason are true but Reason is not the correct explanation of Assertion) is correct because a negative charge moves from lower to higher potential, increasing its kinetic energy, but the reason doesn't directly explain the potential difference.

9 Medium

9 of 407

Understanding +4 | -1

Choose the correct statement

a) In applying Gauss law, the charges may be located any where inside the Gaussian surface

b) The electric field due to a charge configuration with total charge zero may not be zero

View answer and explanation

Correct option: A

Both

a

and

b

are true

Option A is correct because Gauss's law depends on the enclosed charge, and a charge configuration with zero total charge can still produce a non-zero electric field.

10 Medium

10 of 407

Understanding +4 | -1

What is the direction of the lines of force at any
point on the equipotential surface?

View answer and explanation

Correct option: B

Normal to it

Option B (Normal to it) is correct because the electric field, and hence the lines of force, are always perpendicular to equipotential surfaces.

11 Medium

11 of 407

Application +4 | -1

The distance between plates of a parallel plate capacitor is '

\mathrm{d}

'. Another thick metal plate of thickness

\mathrm{d} / 2

and area same as that of plates is so placed between the plates, that it does not touch the plates. The capacity of the resultant capacitor:

View answer and explanation

Correct option: B

Becomes double

Option B (Becomes double) is correct because inserting a metal plate effectively reduces the distance between the capacitor plates, increasing the capacitance.

12 Medium

12 of 407

Analyzing +4 | -1

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason
R.
Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and
another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
Reason R: Capacitance of metallic spheres depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below:

View answer and explanation

Correct option: B

A is false but R is true

Option B (A is false but R is true) is correct because two metallic spheres at the same potential will have the same charge, and the capacitance does depend on the radii.

13 Medium

13 of 407

Analyzing +4 | -1

A parallel plate capacitor is filled with a dielectric whose dimensions are the same as that of the capacitor. The capacitor is connected to a battery.
Statement 1: If the dielectric is pulled out, the electric field inside the capacitor increases.
Statement 2: The electric field inside the dielectric is lesser than the electric field in the region outside the dielectric.

View answer and explanation

Correct option: D

Statement–1 is False, Statement–2 is True

Option D is correct because when a dielectric is pulled out of a capacitor connected to a battery, the electric field decreases, and the electric field inside the dielectric is less than the field outside.

14 Medium

14 of 407

Remembering +4 | -1

The capacity of a spherical conductor in

\mathrm{MKS}

system is

View answer and explanation

Correct option: C

4\pi {\varepsilon _0}R

The correct answer is C (

4\pi {\varepsilon _0}R

) because the capacitance of a spherical conductor is directly proportional to its radius.

15 Medium

15 of 407

Application +4 | -1

The difference in the effective capacity of two similar capacitors when joined in series and then in parallel is

6 \mu \mathrm{F}.

The capacity of each capacitor is

View answer and explanation

Correct option: B

4 \mu \mathrm{F}

Option B (

4 \mu \mathrm{F}

) is correct because the difference between the parallel and series combinations of two identical capacitors is used to solve for the individual capacitance.

Explore Other Chapters in PHYSICS

View All →

UNITS & MEASUREMENTS 633 MCQs WAVES 566 MCQs THERMAL PROPERTIES OF MATTER 564 MCQs WORK-ENERGY-POWER 553 MCQs MOTION IN PLANE 530 MCQs OSCILLATIONS 498 MCQs

16 Medium

16 of 407

Understanding +4 | -1

When a capacitor of capacity

\text{C}

is charged through a resistance

\text{R}

by a battery of emf

\varepsilon_0

the charge on the capacitor vary with time according to the relation, (Here

\text{Q}

is the maximum charge on the capacitor):

View answer and explanation

Correct option: A

\mathrm{q}(\mathrm{t})=\mathrm{Q}\left[1-\mathrm{e}^{-\mathrm{t} / \text{RC}}\right]

Option A (

\mathrm{q}(\mathrm{t})=\mathrm{Q}\left[1-\mathrm{e}^{-\mathrm{t} / \text{RC}}\right]

) is correct because this equation describes the charging of a capacitor through a resistor, where the charge approaches the maximum charge Q exponentially.

17 Medium

17 of 407

Application +4 | -1

A parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If

x

is the separation between the plates, the time rate of change of electrostatic energy of capacitor is proportional to

View answer and explanation

Correct option: A

{x^{ - 2}}

Option A (

{x^{ - 2}}

) is correct because the time rate of change of electrostatic energy is inversely proportional to the square of the separation between the plates.

18 Medium

18 of 407

Understanding +4 | -1

Which of the following about potential at a point due to a given point charge is true? The potential at a point

P

due to a given point charge:

View answer and explanation

Correct option: A

Is a function of distance from the point charge

Option A is correct because the electric potential due to a point charge is inversely proportional to the distance from the charge, making it a function of distance.

19 Medium

19 of 407

Understanding +4 | -1

Assertion (A): The work done by the electrostatic force is zero when a point charge moves in a circular path around another charge.

Reason (R): The dot product of force and displacement vectors gives work done.

View answer and explanation

Correct option: A

Both (A) and (R) are correct and (R) is the correct explanation of (A)

Option A is correct because the electrostatic force is conservative, so the work done in a closed path is zero, and the work done is indeed the dot product of force and displacement.

20 Medium

20 of 407

Understanding +4 | -1

A positive charge is moved from low potential point A to a high potential point B. Then the electric potential energy

View answer and explanation

Correct option: A

Increases

Option A is correct because moving a positive charge from a low to a high potential requires work, thus increasing its electric potential energy.

21 Medium

21 of 407

Understanding +4 | -1

Nature of equipotential surface for a point charge is:

View answer and explanation

Correct option: B

Sphere with charge at the centre of the sphere

Option B (Sphere with charge at the centre of the sphere) is correct because equipotential surfaces are surfaces of constant potential, and for a point charge, these are spheres centered on the charge.

22 Medium

22 of 407

Understanding +4 | -1

If the charge on a capacitor is doubled, the value of its capacitance

C

will be

View answer and explanation

Correct option: C

Remain the same

Option C (Remain the same) is correct because capacitance is a property of the capacitor's physical structure and the dielectric material, and it does not depend on the charge stored on the capacitor.

23 Medium

23 of 407

Remembering +4 | -1

‘Debye’ is the unit of

View answer and explanation

Correct option: B

Electric dipolement

Option B (Electric dipolement) is correct because the Debye is the unit of electric dipole moment.

24 Easy

24 of 407

Analyzing +4 | -1

Assertion (A) : In series combination, charges on two capacitors are always equal.

Reason (R) : If charges are same, the total potential difference applied across two capacitors will be distributed in inverse ratio of capacities.

View answer and explanation

Correct option: D

If Assertion is false but the Reason is true.

Option D (If Assertion is false but the Reason is true) is correct because in a series combination, charges are the same only if initially uncharged, and the potential difference is indeed inversely proportional to capacitance.

25 Medium

25 of 407

Understanding +4 | -1

Variation in electric potential is maximum if one goes :-

View answer and explanation

Correct option: A

Along the line of force

Option A is correct because the electric potential changes most rapidly along the direction of the electric field, which is along the line of force.

26 Medium

26 of 407

Understanding +4 | -1

An uncharged capacitor is connected to a battery. On charging the capacitor

View answer and explanation

Correct option: B

Half the energy supplied is stored in the capacitor

Option B (Half the energy supplied is stored in the capacitor) is correct because half the energy is dissipated as heat during the charging process.

27 Medium

27 of 407

Analyzing +4 | -1

Two insulated charged spheres of radii 20 cm and
25 cm respectively and having an equal charge

\text{Q}

are connected by a copper wire, then they are
separated

View answer and explanation

Correct option: B

Charge on the 20 cm sphere will be greater than
that on the 25 cm sphere

Option B (Charge on the 20 cm sphere will be greater than that on the 25 cm sphere) is correct because after connecting the spheres, they will have the same potential, and the charge will be proportional to the radius.

28 Medium

28 of 407

Understanding +4 | -1

The plates of a charge parallel plate capacitor are moved apart. This will result in increase of

View answer and explanation

Correct option: B

Potential

Option B is correct because as the plates of a charged capacitor are moved apart, the potential difference between them increases while the charge remains constant.

29 Medium

29 of 407

Understanding +4 | -1

Which among the following represents the expression of displacement current during charging of a capacitor? (Symbols have their usual meaning)

View answer and explanation

Correct option: D

All of these

Option D (All of these) is correct because all the given expressions represent the displacement current during the charging of a capacitor.

30 Medium

30 of 407

Remembering +4 | -1

The electric field due to a dipole at a distance

r

on its axis is

View answer and explanation

Correct option: B

Inversely proportional to

{r^3}

Option B (Inversely proportional to

{r^3}

) is correct because the electric field due to a dipole at a distance

r

on its axis is inversely proportional to

{r^3}

Revision notes and key takeaways

Review ELECTRIC POTENTIAL AND CAPACITANCE in your textbook or class notes, then use this set to check your understanding.

Key Takeaways

✓ This set contains 407 single-correct-answer MCQs on ELECTRIC POTENTIAL AND CAPACITANCE.
✓ Try each question before opening its answer. Read the explanation where one is available.
✓ Sign in to save submitted answers. Revisit incorrect answers alongside your textbook or class notes.

Showing 1-30 of 407 questions

Continue Your Practice

📚 Switch Set (ALL)

Chapter Sets

ALL 407 MCQs EASY 23 MCQs HARD 12 MCQs MEDIUM 372 MCQs

0 /407

0✓ 0✗

0% Accuracy