A table tennis ball that has been covered with conducting paint is suspended by a silk thread so that it hangs between two plates, out of which one is earthed and other is connected to a high voltage generator. This ball

1. Is attracted towards high voltage plate and stays there

2. Hangs without moving

3. Swing backward and forward hitting each plate in turn

4. Is attracted to the earthed plate and stays there

Eight drops of mercury of equal radii possessing equal charges combine to form a big drop. Then the capacitance of bigger drop compared to each individual small drop is 

1. 8 times

2. 4 times

3. 2 times

4. 32 times

The capacity of parallel plate condenser depends on 

1. The type of metal used

2. The thickness of plates

3. The potential applied across the plates

4. The separation between the plates

The capacity of a parallel plate condenser is C. It's capacity when the separation between the plates is halved will be?

1. 4 C

2. 2 C

3. $\frac{C}{2}$

4. $\frac{C}{4}$

The capacity of a parallel plate capacitor increases with the 

1. Decrease of its area

2. Increase of its distance

3. Increase of its area

4. None of the above

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

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

In a spherical condenser radius of the outer sphere is R. The difference in the radii of the outer and inner sphere is x. Its capacity is proportional to

1. $\frac{xR}{(R-x)}$

2. $\frac{x(R-x)}{r}$

3. $\frac{R(R-x)}{x}$

4. $\frac{R}{x}$

Two identical charged spherical drops each of capacitance C merge to form a single drop. The resultant capacitance is -

1. Equal to 2C

2. Greater than 2C

3. Less than 2C but greater than C

4. Less than C

The capacity of a parallel plate condenser is \(15~\mu\text{F}\), when the distance between its plates is \(6~\text{cm}\). If the distance between the plates is reduced to \(2~\text{cm}\), then the capacity of this parallel plate condenser will be?
1. \(15~\mu\text{F}\)
2. \(30~\mu\text{F}\)
3. \(45~\mu\text{F}\)
4. \(60~\mu\text{F}\)