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:
1. | \(V\) | 2. | \(v \over \sqrt{2}\) |
3. | \(v \sqrt{2}\) | 4. | \(2V\) |
In the circuit shown in figure, energy stored in 6 capacitor will be:
1. | \(48 \times10^{-6}~ \mathrm J\) | 2. | \(32 \times10^{-6}~ \mathrm J\) |
3. | \(96 \times10^{-6}~ \mathrm J\) | 4. | \(24 \times10^{-6}~ \mathrm J\) |
A metallic sphere of capacitance , charged to electric potential is connected by a metal wire to another metallic sphere of capacitance charged to electric potential . The amount of heat produced in connecting the wire during the process is:
1.
2.
3.
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. \(V_A=V_B=V_C\)
1. | zero | 2. | \(180^{\circ}\) |
3. | \(90^{\circ}\) | 4. | \(45^{\circ}\) |
A charge +q is fixed at each of the points ..... infinite, on the x-axis, and a charge –q is fixed at each of the points ,..... 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 . Then, the potential at the origin due to the above system of charges is:
1. 0
2.
3. ∞
4.
A conductor with a positive charge:
1. | is always at +ve potential. |
2. | is always at zero potential. |
3. | is always at negative potential. |
4. | may be at +ve, zero or –ve potential. |
On rotating a point charge having a charge \(q\) around a charge \(Q\) in a circle of radius \(r\), the work done will be:
1. | \(q \times2 \pi r\) | 2. | \(q \times2 \pi Q \over r\) |
3. | zero | 4. | \(Q \over 2\varepsilon_0r\) |
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:
1. | K | 2. | L |
3. | M | 4. | N |
What is the potential energy of two equal positive point charges of \(1~ \mu \text{C}\) each held \(1\) m apart in the air?
1. | \(9 \times 10^{-3}~\text{J}\) | 2. | \(9 \times 10^{-3}~\text{eV}\) |
3. | \(2~\text{eV/m}\) | 4. | zero |