Q. No.
1. \(2\) N
2. \(1\) N
3. \(5\) N
4. \(0\) N
1. \(4.5\times10^{6}~\text{N/C along}~OA\)
2. \(5.4\times10^{6}~\text{N/C along}~OA\)
3. \(4.5\times10^{6}~\text{N/C along}~OB\)
4. \(5.4\times10^{6}~\text{N/C along}~OB\)
A spherical conductor of radius \(12~\text{cm}\) has a charge of \(1.6\times10^{-7}~\text{C}\) distributed uniformly on its surface. The electric field just outside the sphere is:
| 1. | \(\text{zero}\) | 2. | \(10^5~ \text{NC}^{-1} \) |
| 3. | \(10^{-5}~ \text{NC}^{-1} \) | 4. | \(10^{6 }~ \text{NC}^{-1} \) |
A system has two charges, \(q_\mathrm{A} = 2.5 \times 10^{-7}~\text{C}\) and \(q_\mathrm{B} = -2.5 \times 10^{-7}~\text{C}\), is located at points \(\mathrm{A}\): \((0,0,-15~\text{cm})\) and \(\mathrm{B}\): \((0,0,+15~\text{cm})\) respectively. The electric dipole moment of the system is:
| 1. | \(7.5\times 10^{-8}~\text{C-m}\) (along negative z-axis) |
| 2. | \(8.5\times 10^{-8}~\text{C-m}\) (along positive z-axis) |
| 3. | \(5.5\times 10^{-8}~\text{C-m}\) (along positive z-axis) |
| 4. | \(3.5\times 10^{-8}~\text{C-m}\) (along negative z-axis) |
| 1. | \(2\times 10^{-5}~\text{N-m}\) | 2. | \(10^{-4}~\text{N-m}\) |
| 3. | \(10^{-5}~\text{N-m}\) | 4. | \(2\times 10^{-4}~\text{N-m}\) |
Which of the following statements about electric field lines (due to static charges) is incorrect?
| 1. | electric field lines never cross each other at any point. |
| 2. | electric field lines do not form any closed loop. |
| 3. | electric field lines can not be taken as continuous curves. |
| 4. | electric field lines start from a positive charge and end on a negative charge. |
A polythene piece rubbed with wool is found to have a negative charge of \(3 \times10^{-7}~\text{C}.\) Transfer of mass from wool to polythene is:
1. \(0.7\times10^{-18}~\text{kg}\)
2. \(1.7\times10^{-17}~\text{kg}\)
3. \(0.7\times10^{-17}~\text{kg}\)
4. \(1.7\times10^{-18}~\text{kg}\)
Two insulated charged copper spheres \(A\) and \(B\) have their centers separated by a distance of \(50 ~\text{cm}.\) What is the mutual force of electrostatic repulsion if the charge on each is \(6 . 5 × 10 ^{- 7}~\text C ?\)
(the radii of \(A\) and \(B\) are negligible compared to the distance of separation.)
1. \(1.52 × 10^{−2}~\text N\)
2. \(3.7 × 10^{−2}~\text N\)
3. \(2.01 × 10^{−2}~\text N\)
4. \(2.23 × 10^{−1}~\text N\)
The figure below shows tracks of three charged particles in a uniform electrostatic field. Which particle has the highest charge to the mass ratio?
| 1. | \(2\) | 2. | \(3\) |
| 3. | \(1\) | 4. | \(1\) and \(3\) |
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