Electrostatics PYQs - Last 10 Years

An electron falls through a distance $1.5$ cm in $2.0 \times 10^4$ N/C from rest. The time taken to cover this distance in second is ____$(e = 1.6 \times 10^{-19}\text{ C}, m_e = 9.11 \times 10^{-31}\text{ kg})$

What will be the total electric flux through the faces of the cube as given in the figure with side of length '$a$' if a charge Q is placed at B midpoint of an edge of the cube (see figure)?

Consider three point charges $-2Q, Q$ and $-Q$ and three surfaces $S_1, S_2$ and $S_3$ as shown in the figure. Match the entries of List-I with that of List-II.List-IList-II(a) Net flux through $S_1$(i) $\dfrac{-2Q}{\varepsilon_0}$(b) Net f...

An electric dipole of dipole moment $\vec{P}$ is placed in the uniform electric field $\vec{E}$. Then which of the following statements are correct?Statement-I: The torque on the dipole is $\vec{P} \times \vec{E}$Statement-II: The potential...

A $200$ J of work is done in moving a charge $5$ C from a point A where the potential is $-20$ V to another point B where potential is V volt. The value of V at B is

You are given a dipole of charge $+q$ and $-q$ separated by a distance $2 R$. A sphere ' $A$ ' of radius ' $R$ ' passes through the centre of the dipole as shown below and another sphere ' $B$ ' of radius ' $2 R$ ' passes through the charge...

A metallic sphere of radius $R$ carrying a charge $q$ is kept at certain distance from another metallic sphere of radius $\mathrm{R} / 4$ carrying a charge Q . What is the electric flux at any point inside the metallic sphere of radius R du...

Charges are uniformly spread on the surface of a conducting sphere. The electric field from the centre of sphere to a point outside the sphere varies with distance $r$ from the centre as

Which of the following is a correct statement?

Which of the following statements is not true?

Match Column-I with Column - II related to an electric dipole of dipole moment $\vec{p}$ that is placed in a uniform electric field $\vec{E}$.



Column - I Angle between


p

→




p

→

vec(p) ...

A potential at a point A is -3 V and that at another point B is 5 V . What is the work done in carrying a charge of 5 m C from B to A ?

A cube of side 1 cm contains 100 molecules each having an induced dipole moment of $0.2 \times 10^{-6} \mathrm{C}-\mathrm{m}$ in an external electric field of $4 \mathrm{NC}^{-1}$. The electric susceptibility of the materials is ..............

Under electrostatic conditien of a charged conductor, which among the following statements is true?

A uniform electric field $E=3 \times 10^5 \mathrm{NC}^{-1}$ is acting along the positive $Y$-axis. The electric flux through a rectangle of area $10 \mathrm{~cm} \times 30 \mathrm{~cm}$ whose plane is parallel to the ZX -plane is

The total electric flux through a closed spherical surface of radius $r$ enclosing an electric dipole of dipole moment $2 a q$ is (Give $\varepsilon_0=$ permittivity of free space)

A point charge $A$ of $+10 \mu \mathrm{C}$ and another point charge $B$ of $+20 \mu \mathrm{C}$ are kept 1 m apart in free space. The electrostatic force on $A$ due to $B$ is $F_1$ and the electrostatic force on $B$ due to $A$ is $\mathbf{F...

A body has a charge of $-3.2 \mu \mathrm{C}$. The number of excess electrons will be

Electric field at a distance \(r\) from an infinitely long uniformly charged straight conductor, having linear charge density \(\lambda\) is \(E_1\). Another uniformly charged conductor having same linear charge density \(\lambda\) is bent ...

A cubical Gaussian surface has side of length \(a=10 \mathrm{~cm}\). Electric field lines are parallel to \(X\)-axis as shown in figure. The magnitudes of electric fields through surfaces \(A B C D\) and \(E F G H\) are $$6 ~\mathrm{kNC}^{-...

A uniform electric field vector \(\mathbf{E}\) exists along horizontal direction as shown. The electric potential at \(A\) is \(V_A\). A small point charge \(q\) is slowly taken from \(A\) to \(B\) along the curved path as shown. The potent...

In the situation shown in the diagram, magnitude, if \(q < < |Q|\) and \(r >>>a\). The net force on the free charge \(-q\) and net torque on it about \(O\) at the instant shown are respectively.
(\(p=2 a Q\) is the dipole moment)

A positively charged glass rod is brought near uncharged metal sphere, which is mounted on an insulated stand. If the glass rod is removed, the net charge on the metal sphere is

Two tiny spheres carrying charges \(1.8 \mu \mathrm{C}\) and \(2.8 \mu \mathrm{C}\) are located at \(40 \mathrm{~cm}\) apart. The potential at the mid - point of the line joining the two charges is

The electric field and the potential of an electric dipole vary with distance \(r\) as

A charged particle of mass \(m\) and charge \(q\) is released from rest in an uniform electric field E. Neglecting the effect of gravity, the kinetic energy of the charged particle after \(t\) seconds is

An electric dipole with dipole moment \(4 \times 10^{-9} \mathrm{C}-\mathrm{m}\) is aligned at \(30^{\circ}\) with the direction of a uniform electric field of magnitude \(5 \times 10^4 \mathrm{NC}^{-1}\), the magnitude of the torque acting...

Four charges \(+q_1+2 q_1+q\) and \(-2 q\) are placed at the corners of a square \(A B C D\) respectively. The force on a unit positive charge kept at the centre \(O\) is

A tiny spherical oil drop carrying a net charge \(q\) is balanced in still air, with a vertical uniform electric field of strength \(\frac{81}{7} \pi \times 10^5 \mathrm{~V} / \mathrm{m}\). When the field is switched OFF, the drop is observ...

Which of the following statements is false in the case of polar molecules?

Electric field due to infinite, straight uniformly charged wire varies with distance \(r\) as

A \(2 \mathrm{~g}\) object, located in a region of uniform electric field \(\mathrm{E}=\left(300 \mathrm{NC}^{-1}\right) \hat{\mathbf{i}}\) carries a charge \(Q\). The object released from rest at \(x=0\), has a kinetic energy of $$0.12 \ma...

The electric field lines on the left have twice the separation on those on the right as shown in figure. If the magnitude of the field at \(A\) is \(40 \mathrm{~Vm}^{-1}\), what is the force on \(20 \mu \mathrm{C}\) charge kept at \(B\) ?

Figure shows three points \(A, B\) and \(C\) in a region of uniform electric field \(\mathbf{E}\). The line \(A B\) is perpendicular and \(B C\) is parallel to the field lines. Then, which of the following holds good ? (\(V_A, V_B\) and $$V...

A point charge \(q\) is placed at the corner of a cube of side \(a\) as shown in the figure. What is the electric flux through the face \(A B C D\) ?

A dipole moment \(p\) and moment of inertia \(I\) is placed in a uniform electric field \(\mathbf{E}\). If it is displaced slightly from its stable equilibrium position, the period of oscillation of dipole is

When a soap bubble is charged?

An infinitely long thin straight wire has uniform charge density of \(\frac{1}{4} \times 10^{-2} \mathrm{~cm}^{-1}\). What is the magnitude of electric field at a distance \(20 \mathrm{~cm}\) from the axis of the wire?

The figure gives the electric potential \(V\) as a function of distance through four regions on \(x\)-axis. Which of the following is true for the magnitude of the electric field \(E\) in these regions?

A system of two charges separated by a certain distance apart stores electrical potential energy. If the distance between them is increased, the potential energy of the system

An electric dipole is kept in non-uniform electric field. It generally experiences

A particle of mass \(m\) and charge \(q\) is placed at rest in uniform electric field \(E\) and then released. The kinetic energy attained by the particle after moving a distance \(y\) is

A certain charge \(2 Q\) is divided at first into two parts \(q_1\) and \(q_2\). Later the charges are placed at a certain distance. If the force of interaction between two chagrges is maximum then \(\frac{Q}{q_1}\) is

Two protons are kept at a separation of \(10 \mathrm{~nm}\). Let \(F_n\) and \(F_e\) be the nuclear force and the electrostatic force between them

Two metal plates are separated by \(2 \mathrm{~cm}\). The potentials of the plates are \(-10 \mathrm{~V}\) and \(+30 \mathrm{~V}\). The electric field between the two plates is

The force of repulsion between two identical positive charges when kept with a separation $r$ in air is $F$. Half the gap between the two charges is filled by a dielectric slab of dielectric constant $=4$. Then, the new force of repulsion b...

A mass of 1 kg carrying a charge of 2 C is accelerated through a potential of 1 V . The velocity acquired by it is

The magnitude of point charge due to which the electric field 30 cm away has the magnitude $2 \mathrm{NC}^{-1}$ will be

The work done to move a charge on an equipotential surface is

Three point charges of $+2 q,+2 q$ and $-4 q$ are placed at the corners $A, B$ and $C$ of an equilateral triangle $A B C$ of side $x$. The magnitude of the electric dipole moment of this system is