Electric fields and charges practice · Mixed difficulty

If a charge on the body is $1 \mathrm{~nC},$ then how many electrons are present on the body?

Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude $18 \times 10^{-22} \mathrm{~Cm}^{-2}$. The electric field between the plates is:

A cube of side $a$ is placed in a uniform electric field ${E}=E_0 \hat{{i}}+E_0 \hat{{j}}+E_0 \hat{{k}}$. Total electric flux passing through the cube would be

The electrostatic field due to a charged
conductor just outside the conductor is:

There are two types of electric charges positive charges and negative charges. The property which differentiates the two types of charges is:

A current in a wire is given by the equation $I = 2{t^2} - 3t + 1$ . The charge through cross section of wire in time interval $t = 3\,s\,\,\,{t_0}t = 5s$ is

An infinite number of electric charges each equal to $5\;nano - coulomb$ (magnitude) are placed along $X$-axis at $x = 1\;cm,\;\;x = 2\;cm,\;\;x = 4\;cm\;\;x = 8\;cm \ldots \ldots \ldots$ and so on. In the setup if the consecutive charges have opposite sign, then the electric field in $Newton/Coulomb$ at $X = 0$ is

$\left[ {\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N - {m^2}/{c^2}} \right]$

Two similarly equally charged identical metal spheres $A$ and $B$ repel each other with a force of $2.0 \times 10^{-5} \mathrm{~N}$. $A$ third identical uncharged sphere $C$ is touched to $A$, then placed at the midpoint between $A$ and $B$. Calculate the net electrostatic force on $C$.

Two particles, each having a mass of $5 \mathrm{~g}$ and charge $1.0 \times 10^{-7} \mathrm{C}$, stay in limiting equilibrium on a horizontal table with a separation of $10 \mathrm{~cm}$ between them. The coefficient of friction between each particle and the table is the same. Find the value of this coefficient

The electrostatic force $\left(\overrightarrow{\mathrm{F}}_1\right)$ and magnetic force $\left(\overrightarrow{\mathrm{F}}_2\right)$ acting on a charge $\mathrm{q}$ moving with velocity $\mathrm{v}$ can be written:

Assertion (A): Some charge is put at the centre of a conducting sphere. It will move to the surface of the sphere.

Reason (R): Conducting sphere has no free electrons at the centre.

Calculate the net charge on a substance consisting of a combination of $7 \times 10^{13}$ protons and $4 \times 10^{13}$ electrons.

Assertion: Force between two point charges at rest is not changed by the presence of third point charge between them.

Reason: Force depends on the magnitude of the first two charges and seperation between them.

Two charges of equal magnitudes and at a distance $r$ exert a force $F$ on each other. If the charges are halved and distance between them is doubled, then the new force acting on each charge is

Statement-1: $\overrightarrow{{E}}$ in outside velocity of a conductor depends only on the local charge density $\alpha$.
Statement-2: $\overrightarrow{{E}}$ in outside vicinity of a conductor is given by $\frac{\sigma}{\varepsilon_0}$.

A point charge $+\,q$, is placed at a distance d from an isolated conducting plane. The field at a point $P$ on the other side of the plane is

Two bodies are charged by rubbing one against the other. During the process, one becomes positively charged while the other becomes negatively charged. Then

A point charge placed at any point on the axis of an electric dipole at some large distance experiences a force $F$. Find the force acting on the point charge when it's distance from the dipole is doubled.

An electron of mass ${M_e},\;$ initially at rest, moves through a certain distance in a uniform electric field in time ${t_1}.\;$ A proton of mass ${M_p}$ also initially at rest, takes time ${t_2}$ to move through an equal distance in this uniform electric field, neglecting the effect of gravity, the ratio ${t_1}/{t_{2\;}}$ is nearly equal to

An electric charge does not have which of the
following properties?

A neutral body is charged positively by rubbing it, its weight

A charged particle of mass $0.003 \mathrm{~g}$ is held stationary is space by placing it in a downward direction of electric field of $6 \times 10^4 \mathrm{~N} / \mathrm{C}$. Then the magnitude of the charge is

When we touch a pith ball with an electrified plastic rod, some of the negative charges on the rod are transferred to the pith ball and it also gets charged. Thus, pith ball is charged by

In nature, the electric charge of any system is always equal to

A charge of 1 $\mathrm{\mu }$C is divided into two parts such that their charges are in the ratio of 2:3. These two charges are kept at a distance 1 m apart in vacuum. Then, the electric force between them (in N) is

Two conducting spheres have radii $R_1=0.5 \mathrm{~m}$ and $R_2=1 \mathrm{~m}$. Each of them has $300 ~\mu \mathrm{C}$ charge on its surface. If the spheres are joined by a conducting wire then the amount of charge transferred from one body to the other is

Assertion: Two particles of same charge projected with different velocity normal to electric field experience same force.

Reason: A charged particle experiences force, independent of velocity in electric field.

Given below are two statements: one is labelled
as Assertion (A) and the other is labelled as
Reason (R).

Assertion (A): Net dipole moment of a polar
linear isotropic dielectric substance is not zero
even in the absence of an external electric field.

Reason (R): In absence of an external electric
field, the different permanent dipoles of a polar
dielectric substance are oriented in random
directions.

In the light of the above statements, choose the
most appropriate answer from the options given
below:

Assertion : When we rub a glass rod with silk, the rod gets negatively charged and the silk gets positively charged.

Reason : On rubbing, electrons from silk cloth move to the glass rod.

Two conducting charged spheres having different radii (Solid or Hollow) are connected by a conducting wire. Then which of the following is true