Two capacitors each having capacitance \(C\) and breakdown voltage \(V\) are joined in series. The capacitance and the breakdown voltage of the combination will be:   
1. \(2C\) and \(2V\)
2. \(C/2\) and \(V/2\)
3. \(2C\) and \(V/2\)
4. \(C/2\) and \(2V\)

          
1. \(C\)
2. \(2C\)
3. \(\frac{C}{2}\)
4. none of these

         
1. \(C_{1}>C_{2}\)
2. \(C_{1}=C_{2}\)
3. \(C_{1}<C_{2}\)
4. the information is not sufficient to decide the relation between \(C_{1}\) and \(C_{2}\)

Three capacitors of capacitances \(6\) µF each are available. The minimum and maximum capacitances, which may be obtained are:
1. \(6~\mu\text{F}, 18~\mu\text{F}\)
2. \(3~\mu\text{F}, 12~\mu\text{F}\)
3. \(2~\mu\text{F}, 12~\mu\text{F}\)
4. \(2~\mu\text{F}, 18~\mu\text{F}\)

Following operations can be performed on a capacitor: 

X - connect the capacitor to a battery of emf  ε.

Y - disconnect the battery.

Z - reconnect the battery with polarity reversed.

W - insert a dielectric slab in the capacitor.

(a) In XYZ (perform X, then Y, then Z) the stored electric energy remains unchanged and no thermal energy is developed.

(b) The charge appearing on the capacitor is greater after the action XWY than after the action XYW.

(c) The electric energy stored in the capacitor is greater after the action WXY than after the action XYW.

(d) The electric field in the capacitor after the action XW is the same as that after WX

Choose the correct option 

1.  (a) , (b) , (c)

2. (b) , (c), (d)

3. (c) , (a) , (d) 

4. (a) , (d) ,(b)