What is the angle between the electric dipole moment and the electric field strength due to it on the equatorial line

(1) $0°$

(2) $90°$

(3) $180°$

(4) None of these

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

1. zero and parallel to the surface at every point inside the conductor

2. zero and is normal to the surface at every point inside the conductor

3. parallel to the surface at every point and zero inside the conductor

4. normal to the surface at every point and zero inside the conductor

\(X\) and \(Y\) are large, parallel conducting plates close to each other. Each face has an area \(A.\) \(X\) is given a charge \(Q.\) \(Y\) is without any charge. Points \(A,B,\) and \(C\) are as shown in the figure. The incorrect option is:

Four charges are arranged at the corners of a square ABCD, as shown in the adjoining figure. The force on the charge kept at the centre O is 

(1) Perpendicular to side BC

(2) Along the diagonal AC

(3) Along the diagonal BD

(4) Perpendicular to side AB

Three charges 4q, Q, and q are in a straight line in the position of 0, l/2, and l respectively. The resultant force on q will be zero if Q = 

(1) – q

(2) –2q

(3) $-\frac{q}{2}$

(4) 4q

Force of attraction between two point charges Q and – Q separated by d meter is F_e. When these charges are placed on two identical spheres of radius R = 0.3 d whose centres are d meter apart, the force of attraction between them is 

(1) Greater than F_e

(2) Equal to F_e

(3) Less than F_e

(4) Less than F_e

When 10¹⁹ electrons are removed from a neutral metal plate, the electric charge on it is 

(1) –1.6 C

(2) +1.6 C

(3) 10⁺¹⁹ C

(4) 10^–19 C

Three charges are placed at the vertices of an equilateral triangle of side \(a\) as shown in the following figure. The force experienced by the charge placed at the vertex \(A\) in a direction normal to \(BC\) is: 

1. \(Q^{2} / \left(\right. 4 \pi \epsilon_{0} a^{2} \left.\right)\)

2. \(- Q^{2} / \left(\right. 4 \pi \epsilon_{0} a^{2} \left.\right)\)

3. zero

4. \(Q^{2} / \left(\right. 2 \pi \epsilon_{0} a^{2} \left.\right)\)

Two particles of equal mass m and charge q are placed at a distance of 16 cm. They do not experience any force. The value of $\frac{q}{m}$ is 

(1) l

(2) $\sqrt{\frac{\pi {\epsilon }_0}{G}}$

(3) $\sqrt{\frac{G}{4\pi {\epsilon }_0}}$

(4) $\sqrt{4\pi {\epsilon }_{0}G}$

Two identical conductors of copper and aluminium are placed in an identical electric field. The magnitude of induced charge in the aluminium will be:

1. zero.

2. greater than in copper.

3. equal to that in copper.

4. less than in copper.