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NCERT Exemplar Class 12 Physics Solutions Chapter 2 Electrostatic Potential and Capacitance

NCERT Exemplar Class 12 Physics Solutions Chapter 2 Electrostatic Potential and Capacitance

Edited By Safeer PP | Updated on Sep 14, 2022 09:53 AM IST | #CBSE Class 12th

NCERT Exemplar Class 12 Physics solutions chapter 2 revolves around the charges, their electrostatic field along with potential and capacitance. NCERT Exemplar Class 12 Physics chapter 2 solutions deal with a variety of topics relating to the electrostatic field of a static charge, and the work is done in moving such charge from one point to another in the presence of the electrostatic field of one or other charge and the used electrostatic potential energy in doing so. Class 12 Physics NCERT Exemplar solutions chapter 2 also provides different questions for finding and understanding the potential due to a number of charges as well as electric dipole and also establishes the relationship between the electrostatic field and potential. Students preparing for Class 12 examinations must make use of NCERT Exemplar Class 12 Physics solutions chapter 2 PDF download that have been prepared by experts. These solutions help the students in better understanding of concepts of NCERT and the best way to solve and answer the questions.

This Story also Contains
  1. NCERT Exemplar Class 12 Physics Solutions Chapter 2 Includes The Following Topics
  2. What will students learn in NCERT Exemplar Class 12 Physics Solutions Chapter 2 Electrostatic Potential and Capacitance?
  3. NCERT Exemplar Class 12 Physics Chapter Wise Links
  4. Important Topics To Cover For Exams From NCERT Exemplar Class 12 Physics Solutions Chapter 2 Electrostatic Potential and Capacitance

Also check - NCERT Solutions for Class 12 Physics

Question:1

A capacitor of 4\mu F is connected as shown in the circuit. The internal resistance of the battery is 0.5\Omega. The amount of charge on the capacitor plates will be

a) 0
b) 4\mu C
c) 16\; \mu C
d) 8\; \mu C


Answer:

The answer is the option (d) 8\mu C
Current through the 2\Omega resistance considering internal resistance of the battery 1\Omega,
I=\frac{2.5V}{\left ( 2\Omega +0.5\Omega \right )}=1A
The voltage across the internal resistance of the battery
=\left ( 0.5\Omega \right )\left ( 1A \right )=0.5V
The voltage across the 4\mu F capacitor
2.5V-0.5V=2V
Therefore, charge on the capacitor plates
, Q=CV=\left ( 4\mu F \right )\left ( 2V \right )=8\mu C

Question:2

A positively charged particle is released from rest in a uniform electric field. The electric potential energy of the charge
a) remains a constant because the electric field is uniform
b) increases because the charge moves along the electric field
c) decreases because the charge moves along the electric field
d) decreases because the charge moves opposite to the electric field

Answer:

The answer is the option (c) decreases because the charge moves along the electric field

Question:3

Figure shows some equipotential lines distributed in space. A charged object is moved from point A to point B.

a) the work is done in fig (ii) is the least
b) the work is done in fig (i) is the greatest
c) the work is done in fig (iii) is greater than fig (ii) but equal to that in fig (i)
d) the work done is the same in fig (i), fig (ii), and fig (iii)

Answer:

The answer is the option (d) the work done is the same in fig (i), fig (ii), and fig (iii).

Question:4

The electrostatic potential on the surface of a charged conducting sphere is 100V. Two statements are made in this regard:
S1: At any point inside the sphere, the electric intensity is zero
S2: At any point inside the sphere, the electrostatic potential is 100V
Which of the following is a correct statement?
a) S1 and S2, both are false
b) S1 is true, S2 is false
c) S1 and S2, both are true but each of the statements is independent
d) S1 and S2, both are true and S1 is the cause of S2

Answer:

The answer is the option (d) S1 and S2, both are true, and S1 is the cause of S2

Question:5

Equipotential at a great distance from a collection of charges whose total sum is not zero are approximately
a) Ellipsoids
b) Spheres
c) Paraboloids
d) planes

Answer:

The correct answer is (b) spheres

Question:6

A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d_{1} and dielectric constant k_{1} and the other has thickness d_{2} and dielectric constant k_{2} as shown in the figure. This arrangement can be thought of as a dielectric slab of thickness d=d_{1}+d_{2} and effective dielectric constant k. The k is

a) \frac{2K_{1}K_{2}}{\left ( K_{1}+K_{2} \right )}
b) \frac{K_{1}d_{1}+K_{2}d_{2}}{\left ( d_{1}+d_{2} \right )}
c) \frac{\left ( K_{1}d_{1}+K_{2}d_{2} \right )}{\left ( K_{1}+K_{2} \right )}
d)\frac{K_{1}K_{2}\left ( d_{1}+d_{2} \right )}{\left ( K_{1}d_{1}+K_{2}d_{2} \right )}

Answer:

The answer is the option (d)
{{C}_{eq}}=\dfrac{{{k}_{1}}{{k}_{2}}{{\varepsilon }_{0}}A}{{{k}_{1}}{{d}_{2}}+{{k}_{2}}{{d}_{1}}}.............(1)
C=\dfrac{k{{\varepsilon }_{0}}A}{{{d}_{1}}+{{d}_{2}}}.........(2)
From (1) and (2)
\dfrac{{{k}_{1}}{{k}_{2}}{{\varepsilon }_{0}}A}{{{k}_{1}}{{d}_{2}}+{{k}_{2}}{{d}_{1}}}=\dfrac{k{{\varepsilon }_{0}}A}{{{d}_{1}}+{{d}_{2}}}
K=\frac{K_{1}K_{2}\left ( d_{1}+d_{2} \right )}{\left ( K_{1}d_{1}+K_{2}d_{2} \right )}

Question:7

Consider a uniform electric field in the \hat{z} direction. The potential is a constant
a) in all space
b) on the x-y plane for a given z
c) for any y for a given z
d) for any x for a given z

Answer:

The electric field in z-direction implies that equipotential surfaces are in x-y plane.
The answer is the option (b) on the x-y plane for a given z; (c) for any y for a given z; and (d) for any x for a given z.

Question:8

Equipotential surfaces
a) will always be equally spaced
b) are closer in regions of large electric fields compared to regions of lower electric fields
c) will be more crowded near regions of large charge densities
d) will be more crowded near sharp edges of a conductor

Answer:

The answer is the options,
b) are closer in regions of large electric fields compared to regions of lower electric fields
c) will be more crowded near sharp edges of a conductor
d) will be more crowded near regions of large charge densities

Question:9

The work is done to move a charge along an equipotential from A to B
a) is zero
b) cannot be defined as -\int_{A}^{B}E.dl
c) must be defined as -\int_{A}^{B}E.dl
d) can have a non-zero value

Answer:

The answer is the options
c) must be defined as
-\int_{A}^{B}E.dl if q=1 C
a) is zero

Question:10

In a region of constant potential
a) the electric field shall necessarily change if a charge is placed outside the region
b) The uniform electric field will be there
c) in the inside region, there can be no charge
d) zero electric fields will be there

Answer:

The correct answers are the options,
c) in the inside region there can be no charge
d) zero electric field will be there

Question:11

In the circuit shown in the figure, initially key K_{1} is closed and K_{2} is open. Then K_{1} is opened and K_{2} is closed. Then

a) charge on C_{1} gets redistributed i.e, V_{1}=V_{2}
b) charge on C_{1} gets redistributed i.e,\left ( Q_{1}+Q_{2} \right )=Q
c) charge on C_{1} gets redistributed such that Q_{1}=Q_{2}
d) charge on C_{1} gets redistributed such that C_{1}V_{1}+C_{2}V_{2}=C_{1}E

Answer:

The answer is the options,
a) charge on C_{1} gets redistributed such that V_{1}=V_{2}
d) charge on C_{1} gets redistributed such that \left ( Q_{1}+Q_{2} \right )=Q

Question:12

If a conductor has a potential V\neq 0 and there are no charges anywhere else outside, then
a) the charges must on the surface or inside itself
b) no charge will be in the body of the conductor
c) the charges must be only on the surface
d) the charges must be inside the surface

Answer:

The answer is the options,
a) the charges must on the surface or inside itself
b) no charge will be in the body of the conductor

Question:13

A parallel plate capacitor is connected to a battery as shown in the figure. Consider two situations:
A: Key K is kept closed and plates of capacitors are moved apart using the insulating handle
B: Key K is opened, and plates of capacitors are moved apart using the insulating handle
Choose the correct options

a) In A: V remains the same and hence Q changes
b) In A: Q remains the same but C changes
c) In B: Q remains the same and hence V changes
d) In B: V remains the same but C changes

Answer:

The answer is the options,
a) In A: V remains the same and hence Q changes
c) In B: Q remains the same and hence V changes

Question:14

Consider two conducting spheres of radius R_{1} and R_{2} with R_{1} > R_{2}. If the two are at the same potential, the larger sphere has more charge than the smaller sphere. State whether the charge density of the smaller sphere is more or less than that of the larger one.

Answer:

Here, \sigma _{1}R_{1}=\sigma _{2}R_{2}
Hence, \frac{\sigma _{1}}{\sigma _{2}}=\frac{R_{2}}{R_{1}}
If we consider R_{2}>R_{1}, therefore, \sigma _{1}>\sigma _{2}
Therefore, it is clear from the above statement that the charge density of the smaller sphere is greater than the charge density of the larger sphere.

Question:15

Do free electrons travel to a region of higher potential or lower potential?

Answer:

We know that the charged particle in the electric field has a force, that can be expressed as F=qE
Here, the direction of the electrostatic force experienced by the free electrons is exactly in the opposite direction of the electric field. The electrons travel from a lower potential region to a higher potential because the direction of the electric field is higher than the potential.

Question:16

Can there be a potential difference between two adjacent conductors carrying the same charge?

Answer:

Yes, it is possible and there may be a potential difference between two same charges carrying adjacent conductors. This is because the sizes of the conductors might be different

Question:17

Can the potential function have a maximum or minimum in free space?

Answer:

Because the atmosphere around the conductor that prevents the electric discharge is absent, therefore, the potential function cannot be maximum or minimum in free space.

Question:18

A test charge q is made to move in the electric field of a point charge Q along two different closed paths. The first path has sections along and perpendicular to lines of the electric field, the second path is a rectangular loop of the same area as the first loop. How does the work done compare in the two cases?

Answer:


Here we can observe that the work done in both of the cases is zero. The work done due to the electric force on the charge is in the closed-loop and the value of it is equal to zero.

Question:19

Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.

Answer:

In a closed equipotential surface, the potential changes from position to position.
The potential inside the surface is different from the potential gradient caused in the surface that is \frac{dV}{dr}
This also means that the electric field is not equal to zero and it is given as E=\frac{-dV}{dr}
Therefore, it could be said that the field lines are either pointing inwards or outwards the surface.
So, it can be said that the field lines originate from the charges inside which contradicts the original assumption. Therefore, the volume inside the surface must be equipotential.

Question:20

A capacitor has some dielectric between its plates, and the capacitor is connected to a DC source. The battery is now disconnected and then the dielectric is removed. State whether the capacitance, the energy stored in it, electric field, the charge stored, and the voltage will increase, decrease, or remain constant.

Answer:

Quantity
Battery is removed
Battery remains connected

Capacity
C'=KC
C'=KC
Charge
Q'=Q
Q'=KQ
Potential
V'=\frac{V}{K}
V'V
Intensity
E'=\frac{E}{K}
E'=E
Energy
U'=\frac{U}{K}
U'=UK

Question:21

Prove that, if an insulated, uncharged conductor is placed near a charged conductor and no other conductors are present, the uncharged body must be intermediate in potential between that of the charged body and that of infinity.

Answer:

The electric potential will decrease in the direction of the electric field. The potential
E=\frac{dV}{dr}
The electric potential will also decrease again when the path from the charged conductor is taken to the uncharged conductor in the direction of the electric field.
This process will continue when another uncharged conductor is considered to the infinity lowering the potential even further.
As a result, the uncharged body is at intermediate potential and the charged body is at infinity potential.

Question:22

Calculate the potential energy of a point charge -q placed along the axis due to charge +Q uniformly distributed along a ring of radius R. Sketch PE as a function of axial distance z from the center of the ring. Looking at the graph, can you see what would happen if -q is displaced slightly from the center of the ring?

Answer:


The potential energy of a point charge q is U and this point is placed at potential V, U=qV
A negatively charged particle is placed at the axis of the ring with charge Q
Let a be the radius of the ring
The electric potential at the axial distance is given as
V=\frac{1}{4\pi \epsilon _{0}}\frac{Q}{\sqrt{z^{2}+a^{2}}}
The potential energy, U is given as
U=\frac{1}{4\pi \epsilon _{0}}\frac{Qq}{\sqrt{1+\left ( \frac{z}{a} \right )^{2}}}
When z=infinity, U=0.
When z=0, U is given as
U=\frac{1}{4\pi \epsilon _{0}}\frac{Qq}{a}

Question:23

Calculate potential on the axis of a ring due to charge Q uniformly distributed along the ring of radius R.

Answer:


Here, in the above image, point P is perpendicular to O and is at a distance of z from point O, which is the centre of the ring.
The charge dq is at a distance z from the point P.
Therefore, V can be written as:
V=\frac{1}{4\pi \epsilon _{0}}\int \frac{dq}{r}=\frac{1}{4\pi \epsilon _{0}}\int \frac{dq}{\sqrt{z^{2}+a^{2}}}
Therefore, the net potential will be :
V=\frac{1}{4\pi \epsilon _{0}}\frac{Q}{\sqrt{z^{2}+a^{2}}}

Question:24

Find the equation of the equipotential for an infinite cylinder of radius r_{0}, carrying charge of linear density \lambda.

Answer:


We know, the equation of the equipotential for an infinite cylinder of radius r_{0} with linear charge density \lambda is:

r=r_{0}e^{-2\pi \varepsilon _{0} \left [ V(r)-V(r_{0}) \right ]/\lambda}

Question:25

Two-point charges of magnitude \text {+q and -q} are placed at \left ( \frac{-d}{2},0,0 \right ) and \left ( \frac{d}{2},0,0 \right ) respectively. Find the equation of the equipotential surface where the potential is zero.

Answer:


Here, the potential due to charges at the point P is
V_{p}=\frac{1}{4\pi\varepsilon _{0}}\frac{q}{r_{1}}+\frac{1}{4\pi\varepsilon _{0}}\frac{(-q)}{r_{2}}
The net electric potential at this point is zero,
Therefore, r_{1}=r_{2}
We know that
r_{1}=\sqrt{\left ( \frac{x+d}{2} \right )^{2}+h^{2}}
r_{2}=\sqrt{\left ( \frac{x-d}{2} \right )^{2}+h^{2}}
Solving the two equations, we the required equation in-plane x = 0 which is a y-z plane.

Question:26

A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage (U) as \varepsilon =\alpha U where \alpha =2V-1. A similar capacitor with no dielectric is charged to U_{0}=78 V. It is then connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.

Answer:

Here, the capacitors are connected in parallel. Therefore, the voltage across the capacitors is the same. Let us assume the final voltage is U. Here, C is the capacitance of the capacitor without the dielectric. At this point, the charge is Q_{1}=CU
If the initial charge is Q_{0} given by Q_{0}=CU_{0}
The conversion of charges is
Q_{1}=Q_{1}+Q_{2}
CU_{0}=CU+\alpha CU_{2}
\alpha U_{2}+U-U_{o}=0
Solving the equation, we get U=6V

Question:27

A capacitor is made of two circular plates of radius R each, separated by a distance d < < R. The capacitor is connected to a constant voltage. A thin conducting disc of radius r < < R and thickness t < < r is placed at the center of the bottom plate. Find the minimum voltage required to lift the disc if the mass of the disc is m.

Answer:



The thin conducting disc of radius r and thickness t is placed at the center of the bottom plate. Therefore, the potential of that thin disc is equal to the potential of that plate.
Hence, the electric field E on the disc will be
E=\frac{V}{d}
Therefore, the charge transferred to the disc
q'=-\varepsilon _{0}\frac{V}{d\; \pi r^{2}}
Therefore, the force acting on the disc,
F=\varepsilon _{0}\frac{V^2}{d^2}\pi r^{2}
Therefore,
V=\sqrt{\frac{md^2g}{\pi \; \varepsilon _{0}r^{2}}}

Question:28

a) In a quark model of elementary particles, a neutron is made of one up quarks and two down quarks. Assume that they have a triangle configuration with a side length of the order of 10^{-15} m. Calculate the electrostatic potential energy of the neutron and compare it with its mass 939 MeV.

Answer:

There are three charges in the system. The potential energy of the system is equal to the sum of the PE of each pair.
U=\frac{1}{4\pi \varepsilon _{0}}\left \{ q_{d}\frac{q_{d}}{r}-q_{u}\frac{q_{d}}{r}-q_{u}\frac{q_{d}}{r} \right \}
Substituting the values we get,
U=7.68^{*}10^{-14}J
U=4.8^{*}10^{5}eV
U=0.48\; MeV
U=5.11^{*}10^{-4}\left ( m_{n}c^{2} \right )

Question:29

Two metal spheres, one of radius R and the other of radius 2R, both have the same surface charge density \sigma. They are brought in contact and separated. What will be the new surface charge densities on them?

Answer:

Let us say, the charge stored on the first and second metal spheres before contact is Q_{1} and Q_{2} respectively.
Therefore,
Q_{1}=\sigma .4\pi R^2
Q_{2}=\sigma .4\pi (2R)^2=4\; Q_{1}
Again assume, the charge stored on the first and second metal spheres are Q{_{1}}^{'} and Q{_{2}}^{'} respectively.
Therefore,
\left ( Q{_{1}}^{'}+Q{_{2}}^{'} \right )=\left ( Q{_{1}}+Q{_{2}} \right )=5\; Q_{1}
When the metal spheres are in contact, the following is the potentials acquired by them
Q{_{1}}^{'} = \frac{Q{_{2}}^{'}}{2}
By solving the above equations, we get,
\sigma 1=5\frac{\sigma }{3}
\sigma 2=5\frac{\sigma }{6}

Question:30

In the circuit shown in the figure, initially, K_{1} is closed and K_{2} is open. What are the charges on each capacitor? Then K_{1} was opened and K_{2} was closed. What will be the charge on each capacitor now?

Answer:


When key K_{1} is closed and key K_{2} is open, then capacitors C_{1} and C_{2} are connected in series with the battery.
Therefore, the charge stored in the capacitors C_{1} and C_{2} will be same as Q_{1}=Q_{2}
Therefore, Q_{1}=Q_{2}=q=\left ( \frac{C_{1}}{\left ( C_{1}+C_{2} \right )} \right )E=18\mu C

Assuming only capacitors C_{2} and C_{3} are placed in parallel,
C_{2}V'+ C_{3}V'=Q_{2}
V'=\frac{Q_{2}}{C_{2}+C_{3}}=3V
Therefore,
Q{_{2}}^{'}=3CV'=9\; \mu C
Q{_{3}}=3CV'= \mu C
Q{_{1}}^{'}=18\; \mu C

Question:31

Calculate potential on the axis of a disc of radius R due to a charge Q uniformly distributed on its surface.

Answer:


In the above figure, we can see that the disc is divided into several charged rings. Let P be the point on the axis of the disc at a distance x from the centre of the disc.
The radius of the ring is r and the width is dr. dq is the charge on the ring which is given as
dq=\sigma dA=\sigma 2\pi rdr
The potential is given as
dV=\frac{1}{4\pi\varepsilon _{0}}\frac{dq}{\sqrt{r^{2}+x^{2}}}=\frac{1}{4\pi \varepsilon _{0}}\frac{\left ( \sigma 2\pi rdr \right )}{\sqrt{r^{2}+x^{2}}}
The total potential at P is given as
\frac{Q}{2\pi \varepsilon _{0}R^2}\left ( \sqrt{R_{2}+x_{2}-x} \right )

Question:32

Two charges q_{1} and q_{2} are placed at (0, 0, d) and (0, 0, -d) respectively. Find the locus of points where the potential is zero.

Answer:


We know that the potential at point P is V=\sum Vi
Where Vi=\frac{qi}{4\pi \varepsilon _{0}}, ri is the magnitude of the position vector P
V=\frac{1}{4 \pi \varepsilon _{0}}\sum \frac{qi}{rpi}
When the (x,y,z) plane is considered, the two charges lie on the z-axis and are separated by 2d. The potential is given as
\frac{q_{1}}{\sqrt{x^{2}+y^{2}+\left ( z-d \right )^{2}}}+\frac{q_{2}}{\sqrt{x^{2}+y^{2}+\left ( z+d \right )^{2}}}=0
Squaring the equation, we get
x^{2}+y^{2}+z^{2}+\left [ \left ( \frac{q_{1}^2+q_2^2}{q_{1}^2-q_2^2} \right )^2 \right ]\left ( 2zd \right )+d^2=0
The Centre of the sphere is
\left ( 0,0,-d\left [ \frac{q_{1}^{2}+q_{2}^{2}}{q_{1}^{2}-q_{2}^{2}} \right ] \right )
And radius is
r=\frac{2q_{1}q_{2}d}{q_{1}^{2}-q_{2}^{2}}

Question:33

Two charges -q each are separated by distance 2d. A third charge +q is kept at midpoint O. Find potential energy of +q as a function of small distance x from O due to -q charges. Sketch PE versus x and convince yourself that the charge at O is in an unstable equilibrium.

Answer:


In the above figure, +q charge is at a point away from O towards \left ( -d,0 \right ).
This can be written as
U=q\left ( V_{1}+V_{2} \right )=q\frac{1}{4\pi\; \varepsilon _{0}}[\frac{-q}{\left ( d-x \right )}+\frac{-q}{d+x}]
U=\frac{1}{2\pi\varepsilon _{0}}\frac{-q^{2}d}{d^{2}-x^{2}}
At x=0;
U=\frac{1}{2\pi\varepsilon _{0}}\frac{q^{2}}{d}
If we differentiate both sides of the equation with respect to x, we get
\frac{dU}{dx}>0, when x<0
and \frac{dU}{dx}<0, when x>0
With the help of this two, we can assume that the charge on the particle to be
F=\frac{-dU}{dx}
Hence, F=\frac{-dU}{dx}=0
When
a) \frac{d^2U}{dx^{2}} = positive, equilibrium is stable
b) \frac{d^2U}{dx^{2}} = negative, equilibrium is unstable
c) \frac{d^2U}{dx^{2}}=0, equilibrium is neutral
Therefore, when
x=0,\frac{d^2U}{dx^{2}}=\left ( \frac{-2dq2}{4\pi\varepsilon _{0}} \right )\left ( \frac{1}{d^{6}} \right )\left ( 2d^2 \right )<0
Which shows that the system is an unstable equilibrium.

NCERT Exemplar Class 12 Physics Solutions Chapter 2 Includes The Following Topics

  • Introduction
  • Electrostatic Potential
  • Potential due to a point charge
  • Potential Due To An Electric Dipole
  • Potential Due To A System Of Charges
  • Equipotential Surfaces
  • Relation Between Field And Potential
  • Potential Energy Of A System Of Charges
  • Potential Energy In An External Field
  • Electrostatics Of Conductors
  • Dielectrics And Polarization
  • Capacitors And Capacitance
  • The Parallel Plate Capacitor
  • Effect Of Dielectric On Capacitance
  • Combination Of Capacitors
  • Energy Stored In A Capacitor
  • Van De Graff Generator

What will students learn in NCERT Exemplar Class 12 Physics Solutions Chapter 2 Electrostatic Potential and Capacitance?

The students will be able to understand the concept of electric potential and how it is produced by a single charge, different charges, and also by electric dipole and also establishes its relationship between such potential and electric field. They will also learn about the charge storing device known as a capacitor, its working, how they are used in various devices present around us, its capacitance, and also about different types of dielectrics and their polarization. Class 12 Physics NCERT Exemplar solutions chapter 2 also gives students an insight towards the working of Van De Graff Generators which are used in laboratories for experimentation purposes.

NCERT Exemplar Class 12 Physics Chapter Wise Links

Important Topics To Cover For Exams From NCERT Exemplar Class 12 Physics Solutions Chapter 2 Electrostatic Potential and Capacitance

Here are the important topics that the students must specifically learn in Class 12 Physics chapter 2 Electrostatic Potential and Capacitance:

· The students will get to learn about equipotential surfaces, and the changes in potential energy of charges in different kinds of the external field with other charges present. The chapter also provides a complete representation of electrostatic fields around any conductor along with the concept of electrostatic shielding.

· NCERT Exemplar solutions for Class 12 Physics chapter 2 tells about capacitors, its making and how their capacitance can be affected due to change in the geographical configuration of capacitors along with the explanation for the parallel plate capacitor.

· NCERT exemplar Class 12 Physics chapter 2 solutions also includes questions related to the effect of dielectric on the capacitor and the total capacitance when various different capacitors are arranged in series and parallel and the energy stored in it and Van De Graff Generator

NCERT Exemplar Class 12 Solutions

Also, check the NCERT solutions of questions given in book

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quartely question paper for mathematics cbse

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Ah, you're looking for CBSE quarterly question papers for mathematics, right? Those can be super helpful for exam prep.

Unfortunately, CBSE doesn't officially release quarterly papers - they mainly put out sample papers and previous years' board exam papers. But don't worry, there are still some good options to help you practice!

Have you checked out the CBSE sample papers on their official website? Those are usually pretty close to the actual exam format. You could also look into previous years' board exam papers - they're great for getting a feel for the types of questions that might come up.

If you're after more practice material, some textbook publishers release their own mock papers which can be useful too.

Let me know if you need any other tips for your math prep. Good luck with your studies!

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Jefferson 25 September,2024
i have taken admission in clg after my campartment exam in chemistry along with the neet 2025 preperation but unfortunately i again got campartment after doing all this preparation i got 15 marks only now I can't able to think what should I do next.

It's understandable to feel disheartened after facing a compartment exam, especially when you've invested significant effort. However, it's important to remember that setbacks are a part of life, and they can be opportunities for growth.

Possible steps:

  1. Re-evaluate Your Study Strategies:

    • Identify Weak Areas: Pinpoint the specific topics or concepts that caused difficulties.
    • Seek Clarification: Reach out to teachers, tutors, or online resources for additional explanations.
    • Practice Regularly: Consistent practice is key to mastering chemistry.

  2. Consider Professional Help:

    • Tutoring: A tutor can provide personalized guidance and support.
    • Counseling: If you're feeling overwhelmed or unsure about your path, counseling can help.

  3. Explore Alternative Options:

    • Retake the Exam: If you're confident in your ability to improve, consider retaking the chemistry compartment exam.
    • Change Course: If you're not interested in pursuing chemistry further, explore other academic options that align with your interests.

  4. Focus on NEET 2025 Preparation:

    • Stay Dedicated: Continue your NEET preparation with renewed determination.
    • Utilize Resources: Make use of study materials, online courses, and mock tests.

  5. Seek Support:

    • Talk to Friends and Family: Sharing your feelings can provide comfort and encouragement.
    • Join Study Groups: Collaborating with peers can create a supportive learning environment.

Remember: This is a temporary setback. With the right approach and perseverance, you can overcome this challenge and achieve your goals.

I hope this information helps you.







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Kanishka kaushikii 17 September,2024
i scored 84 percent in cbse 2 years ago.Am i eligible for medhavi scholarship if give 12th again after 2 drop years and will got 75+ in mpboard

Hi,

Qualifications:
Age: As of the last registration date, you must be between the ages of 16 and 40.
Qualification: You must have graduated from an accredited board or at least passed the tenth grade. Higher qualifications are also accepted, such as a diploma, postgraduate degree, graduation, or 11th or 12th grade.
How to Apply:
Get the Medhavi app by visiting the Google Play Store.
Register: In the app, create an account.
Examine Notification: Examine the comprehensive notification on the scholarship examination.
Sign up to Take the Test: Finish the app's registration process.
Examine: The Medhavi app allows you to take the exam from the comfort of your home.
Get Results: In just two days, the results are made public.
Verification of Documents: Provide the required paperwork and bank account information for validation.
Get Scholarship: Following a successful verification process, the scholarship will be given. You need to have at least passed the 10th grade/matriculation scholarship amount will be transferred directly to your bank account.

Scholarship Details:

Type A: For candidates scoring 60% or above in the exam.

Type B: For candidates scoring between 50% and 60%.

Type C: For candidates scoring between 40% and 50%.

Cash Scholarship:

Scholarships can range from Rs. 2,000 to Rs. 18,000 per month, depending on the marks obtained and the type of scholarship exam (SAKSHAM, SWABHIMAN, SAMADHAN, etc.).

Since you already have a 12th grade qualification with 84%, you meet the qualification criteria and are eligible to apply for the Medhavi Scholarship exam. Make sure to prepare well for the exam to maximize your chances of receiving a higher scholarship.

Hope you find this useful!

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Yuvan 30 August,2024
i upload 12th board result screenshot in ncweb form from the cbse site so it is valid

hello mahima,

If you have uploaded screenshot of your 12th board result taken from CBSE official website,there won,t be a problem with that.If the screenshot that you have uploaded is clear and legible. It should display your name, roll number, marks obtained, and any other relevant details in a readable forma.ALSO, the screenshot clearly show it is from the official CBSE results portal.

hope this helps.

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Ashvadha 12 July,2024
Kya mujhe class 12 ka important question milega jo exam mai per year puche jate hai

Hello Akash,

If you are looking for important questions of class 12th then I would like to suggest you to go with previous year questions of that particular board. You can go with last 5-10 years of PYQs so and after going through all the questions you will have a clear idea about the type and level of questions that are being asked and it will help you to boost your class 12th board preparation.

You can get the Previous Year Questions (PYQs) on the official website of the respective board.

I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.

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kumardurgesh1802 10 July,2024
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Popular CBSE Class 12th Questions

A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

 Option 2)

0.16\; J
Option 3)

1.00\; J

 Option 4)

0.67\; J
Read More

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

 Option 2)

 6.45×10−3 kg
Option 3)

 9.89×10−3 kg

 Option 4)

12.89×10−3 kg

 
Read More

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

 Option 2)

200 \, \, J - 500 \, \, J
Option 3)

2\times 10^{5}J-3\times 10^{5}J

 Option 4)

20,000 \, \, J - 50,000 \, \, J
Read More

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

 Option 2)

\; K\;
Option 3)

zero\;

 Option 4)

K/4
Read More

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

 Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced
Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

 Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .
Read More

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

 Option 2)

3.125 × 10-2
Option 3)

1.25 × 10-2

 Option 4)

2.5 × 10-2
Read More

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

 Option 2)

increase two fold
Option 3)

remain unchanged

 Option 4)

be a function of the molecular mass of the substance.
Read More

With increase of temperature, which of these changes?

Option 1)

Molality

 Option 2)

Weight fraction of solute
Option 3)

Fraction of solute present in water

 Option 4)

Mole fraction.
Read More

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

 Option 2)

6.023 × 1022
Option 3)

half that in 8 g He

 Option 4)

558.5 × 6.023 × 1023
Read More

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

 Option 2)

more than 3 but less than 6
Option 3)

more than 6 but less than 9

 Option 4)

more than 9
Read More

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