When a positive charge inside a metallic shell of thickness t is moved, then induced surface charge density

Charge distribution at three vertices of an equilateral of side is shown in the figure. The net electric dipole moment of the system is

A circular plate subtends a solid angle $\mathrm{\pi }$ steradian at a point where a point charge 2Q is kept. The total electric flux through the circular plate is

A uniform electric field of strength E exists in a region. An electron is projected in the region perpendicularly with speed v as shown in the diagram. electron exits at point B. The electric field in the region is given by 

A point charge is placed at the center of the spherical Gaussian surface. The electric flux through the surface is changed if the:

In a region, volume charge density varies with radial distance r as $p=\frac{K}{r}$ where K is positive constant. The electric field E Varies with the radial distance in the region as

Two charges each equal to $nq(n^{-1}<\sqrt{3})$ are placed at the corners of an equilateral triangle of side a. The electric field at the third corner is $E_{3, }where \left(E_0=\frac{q}{4{\mathrm{\pi \epsilon }}_0{\mathrm{a}}^2}\right)$ is-

A: a mass of a body is increased slightly when it is negatively charged.

R: Charging is due to the transfer of electrons

A: A positive point charge initially at rest in a uniform electric field starts moving along electric lines of forces

R: A point charge released from rest in an electric field moves along the lines of forces

A: Two dissimilar charges attract each other.

R: Electrostatic field lines between two dissimilar charges produce lengthwise contraction

A: Like charges may attract each other.

R: unlike charges always attract each other

A: Net charge of an electric dipole is zero

R: An electric dipole consists of two equal and opposite charges separated by a very small distance.

A: Two spherical conductors having the same surface charge density will have the same electric field near their surfaces due to their own charge.

R: Surface charge density is a charge per unit area

The electric potential in a certain region of space is given by V = –8x² + 4x, where V is in volt and x is in metre. In this region, the equipotential surface is:-

A spherical conductor of radius 10 cm has a charge of 3.2 x ${10}^{-7}$ C distributed uniformly. What is the magnitude of the electric field at a point 15 cm from the center of the sphere?

$\left(\frac{1}{4\mathrm{\pi }{\in }_0} = 9 \times {10}^9 \mathrm{N} {\mathrm{m}}^2/{\mathrm{C}}^2\right)$

The force between two small charged spheres having charges of $2\times {10}^{-7}C$ and $3\times {10}^{-7}C$ placed 30 cm apart in the air is:

$\left(1\right) 6\times {10}^{-3} N$

$\left(2\right) 5\times {10}^{-3 }N$

$\left(3\right) 4\times {10}^{-4} N$

$\left(4\right) 5\times {10}^{-4} N$

The electrostatic force on a small sphere of charge 0.4 µC due to another small sphere of charge –0.8 µC in the air is 0.2 N. The distance between the two spheres is:

Dimensional formula of $\frac{k{e}^2}{G{m}_e{m}_p}$ is:

$$\begin{gathered} \left(1\right) \left[M^1{L}^1{T}^1\right] \\ \left(2\right) \left[M^0{L}^1{T}^1\right] \\ \left(3\right) \left[M^0{L}^0{T}^0\right] \\ \left(4\right) \left[M^{-1}{L}^0{T}^2\right] \end{gathered}$$

Four point charges q_A = 2μc, q_B = -5μc, q_C = 2μc and qD = -5μc are located at corners of a square ABCD of side 10 cm. The force on a charge of 1μc placed at the center of the square is:

Two point charges q_A = 3 µC and q_B= –3 µC are located 20 cm apart in a vacuum. The electric field at the midpoint O of the line AB joining the two charges is:

A spherical conductor of radius 12 cm has a charge of 1.6 x 10^-7C distributed uniformly on its surface. The electric field just outside the sphere is:

$$\begin{gathered} \left(1\right) 0 \\ \left(2\right) {10}^5 N{C}^{-1} \\ \left(3\right) {10}^{-5} N{C}^{-1} \\ \left(4\right) {10}^6 N{C}^{-1} \end{gathered}$$

A system has two charge q_A = 2.5 x 10^-7 C and q_B = -2.5 x 10^-7 C located at point A: (0, 0, -15 cm) and B: (0, 0, +15 cm) respectively. The electric dipole moment of the system is: 

$\left(1\right) 7.5\times {10}^{-8} C m (Along negative Z-axis)$

$\left(2\right) 8.5\times {10}^{-8} C m (Along positive Z-axis)$

$\left(3\right) 5.5\times {10}^{-8} C m (Along positive Z-axis)$

$\left(4\right) 3.5\times {10}^{-8} C m (Along negative Z-axis)$

An electric dipole with dipole moment  $4\times {10}^{-9} C m$ is aligned at 30° with the direction of a uniform electric field of magnitude $5\times {10}^4 N{C}^{-1}.$ The magnitude of the torque acting on the dipole is:

$$\begin{gathered} \left(1\right) 2\times {10}^{-5} N m \\ \left(2\right) {10}^{-4} N m \\ \left(3\right) {10}^{-5} N m \\ \left(4\right) 2\times {10}^{-4} N m \end{gathered}$$

Which of the following statements about electric field lines (due to static charges) is incorrect?

A polythene piece rubbed with wool is found to have a negative charge of $3\times {10}^{-7} C$. Transfer of mass from wool to polythene is:

Two insulated charged copper spheres A and B have their centers separated by a distance of 50 cm. What is the mutual force of electrostatic repulsion if the charge on each is  $6.5\times {10}^{-7} C$? The radii of A and B are negligible compared to the distance of separation.

$$\begin{gathered} \left(1\right) 1.52\times {10}^{-2} N \\ \left(2\right) 3.7\times {10}^{-2} N \\ \left(3\right) 2.01\times {10}^{-2} N \\ \left(4\right) 2.23\times {10}^{-1} N \end{gathered}$$

The figure below shows tracks of three charged particles in a uniform electrostatic field. Which particle has the highest charge to the mass ratio?

What is the flux of electric field $\left(\overrightarrow{E}=3\times {10}^3 \hat{i} N/C\right)$ through a square of 10 cm on a side whose plane is parallel to the y z – plane?

$$\begin{gathered} \left(1\right) 15 N m^2/C \\ \left(2\right) 10 N m^2/C \\ \left(3\right) 30 N m^2/C \\ \left(4\right) 0 \end{gathered}$$

The electric field at the surface of a black box indicates that the net outward flux through the surface of the box is 8.0×10 ³ N m ² /C. What is the net charge inside the box?

$$\begin{gathered} \left(1\right) 1.01 \mu C \\ \left(2\right) 0.01 \mu C \\ \left(3\right) 0.03 \mu C \\ \left(4\right) 0.07 \mu C \end{gathered}$$

A point charge + 10 μC is at a distance 5 cm directly above the centre of a square of side 10 cm, as shown in the figure. What is the magnitude of the electric flux through the square?