In the circuit shown in figure, energy stored in 6 $\mathrm{\mu F}$ capacitor will be:
 

1.	\(48 \times10^{-6}~ \mathrm J\)	2.	\(32 \times10^{-6}~ \mathrm J\)
3.	\(96 \times10^{-6}~ \mathrm J\)	4.	\(24 \times10^{-6}~ \mathrm J\)

The angle between equipotential surface and electric lines of force is:

A charge +q is fixed at each of the points $x=x_0,$ $x=3x_0,$ $x=5x_0$ ..... infinite, on the x-axis, and a charge –q is fixed at each of the points $x=2x_0,$ $x=4x_0,x=6x_0$,..... infinite. Here x₀ is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be $\frac{Q}{4\pi {\epsilon }_{0}r}$. Then, the potential at the origin due to the above system of charges is:

1.  0

2.  $\frac{q}{8\pi {\epsilon }_0{x}_0\ln 2}$

3.  ∞

4.  $\frac{q\log 2}{4\pi {\epsilon }_0{x}_0}$  

When a proton at rest is accelerated by a potential difference \(V\), its speed is found to be \(v\). The speed of an \(\alpha-\textit{particle}\) when accelerated by the same potential difference from rest will be: 

A metallic sphere of capacitance $C_1$, charged to electric potential $V_1$ is connected by a metal wire to another metallic sphere of capacitance $C_2$ charged to electric potential $V_2$. The amount of heat produced in connecting the wire during the process is:

1.$\frac{C_1{C}_2}{2\left(C_1+C_2\right)}{\left(V_1+V_2\right)}^2$

2. $\frac{C_1{C}_2}{2(C_1+C_2)}{(V_1-V_2)}^2$

3. $\frac{C_1{C}_2}{C_1+C_2}{(V_1-V_2)}^2$

4. zero

A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in the figure. Let\(​​V_A ~,V_B~,V_C\) be the potentials at points A, B and C respectively. Then:

    
1. \(V_A<V_B<V_C\)
2. \(V_A>V_B>V_C\)
3. \(V_C>V_B=V_A\)
4. \(V_A=V_B=V_C\)

A conductor with a positive charge:

On rotating a point charge having a charge \(q\) around a charge \(Q\) in a circle of radius \(r\), the work done will be:

In the figure the charge Q is at the centre of the circle. Work done by the conservative force is maximum when another charge is taken from point P to:

What is the potential energy of two equal positive point charges of \(1~ \mu \text{C}\) each held \(1\) m apart in the air?