An electric dipole is place at an angle of \(30^{\circ}\) with an electric field intensity \(2\times10^{5}~\text{N/C}\). It experiences a torque equal to \(4~\text{N-m}\). The charge on the dipole, if the dipole length is \(2~\text{cm}\), is: 
1. \(8~\text{mC}\)
2. \(2~\text{mC}\)
3. \(5~\text{mC}\)
4. \(7~\mu\text{C}\)

A capacitor of capacitance 6 μF is charged upto 100 volt. The energy stored in the capacitor is 

1. 0.6 Joule

2. 0.06 Joule

3. 0.03 Joule

4. 0.3 Joule

The electric field between the plates of a parallel plate capacitor when connected to a certain battery is E₀. If the space between the plates of the capacitor is filled by introducing a material of dielectric constant K without disturbing the battery connections, the field between the plates shall be 

1. K E₀

2. E₀

3. $\frac{E_0}{K}$

4. None of the above

The capacity of a parallel plate condenser is 10 μF, when the distance between its plates is 8 cm. If the distance between the plates is reduced to 4 cm, then the capacity of this parallel plate condenser will be 

1. 5 μF

2. 10 μF

3. 20 μF

4. 40 μF

A 12pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor ?

1. 1.5 × 10^–8 Joule

2. 2.5 × 10^–7 Joule

3. 3.5 × 10^–5 Joule

4. 4.5 × 10^–2 Joule

A parallel plate condenser with oil between the plates (dielectric constant of oil K = 2) has a capacitance C. If the oil is removed, then capacitance of the capacitor becomes 

1. $\sqrt{2}C$

2. 2C

3. $\frac{C}{\sqrt{2}}$

4. $\frac{C}{2}$

The intensity of electric field at a point between the plates of a charged capacitor 

1. Is directly proportional to the distance between the plates

2. Is inversely proportional to the distance between the plates

3. Is inversely proportional to the square of the distance between the plates

4. Does not depend upon the distance between the plates

Force of attraction between the plates of a parallel plate capacitor whose dielectric constant is K will be -

1. $\frac{q^2}{2{\epsilon }_{0}AK}$

2. $\frac{q^2}{{\epsilon }_{0}AK}$

3. $\frac{q}{2{\epsilon }_{0}A}$

4. $\frac{q^2}{2{\epsilon }_0{A}^{2}K}$

The true statement is, on increasing the distance between the plates of a parallel plate condenser -

1. The electric intensity between the plates will decrease

2. The electric intensity between the plates will increase

3. The electric intensity between the plates will remain unchanged

4. The P.D. between the plates will decrease