Q. No.A total charge \(Q\) is broken in two parts \(Q_1\) and \(Q_2\) and they are placed at a distance \(R\) from each other. The maximum force of repulsion between them will occur, when:
| 1. | \(Q_2=\frac{Q}{R}, Q_1=Q-\frac{Q}{R}\) |
| 2. | \(Q_2=\frac{Q}{4}, Q_1=Q-\frac{2 Q}{3}\) |
| 3. | \(Q_2=\frac{Q}{4}, Q_1=\frac{3 Q}{4}\) |
| 4. | \(Q_1=\frac{Q}{2}, Q_2=\frac{Q}{2}\) |
| 1. | \(4~\text{cm}\) from \(2~\mu\text{C}.\) |
| 2. | \(2~\text{cm}\) from \(2~\mu\text{C}.\) |
| 3. | \(2~\text{cm}\) from \(8~\mu\text{C}.\) |
| 4. | \(3~\text{cm}\) from \(8~\mu\text{C}.\) |
Two positive ions, each carrying a charge \(q\), are separated by a distance \(d\). If \(F\) is the force of repulsion between the ions, the number of electrons missing from each ion will be:
(\(e\) is the charge on an electron)
| 1. | \(\frac{4 \pi \varepsilon_{0} F d^{2}}{e^{2}}\) | 2. | \(\sqrt{\frac{4 \pi \varepsilon_{0} F e^{2}}{d^{2}}}\) |
| 3. | \(\sqrt{\frac{4 \pi \varepsilon_{0} F d^{2}}{e^{2}}}\) | 4. | \(\frac{4 \pi \varepsilon_{0} F d^{2}}{q^{2}}\) |
Two charges \(+2\) C and \(+6\) C are repelling each other with a force of \(12\) N. If each charge is given \(-2\) C of charge, then the value of the force will be:
| 1. | \(4\) N (attractive) | 2. | \(4\) N (repulsive) |
| 3. | \(8\) N (repulsive) | 4. | zero |
The acceleration of an electron due to the mutual attraction between the electron and a proton when they are \(1.6~\mathring{A}\) apart is:
\(\left(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9~ \text{Nm}^2 \text{C}^{-2}\right)\)
| 1. | \( 10^{24} ~\text{m/s}^2\) | 2 | \( 10^{23} ~\text{m/s}^2\) |
| 3. | \( 10^{22}~\text{m/s}^2\) | 4. | \( 10^{25} ~\text{m/s}^2\) |
1. \(-1.6~\text{C}\)
2. \(+1.6~\text{C}\)
3. \(10^{19}~\text{C}\)
4. \(10^{-19}~\text{C}\)
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. \(1.7\times10^{-18}~\text{kg}\)
The charge on \(500~\text{cc}\) of water due to protons will be:
| 1. | \(6.0\times 10^{27}~\text{C}\) | 2. | \(2.67\times 10^{7}~\text{C}\) |
| 3. | \(6\times 10^{23}~\text{C}\) | 4. | \(1.67\times 10^{23}~\text{C}\) |
If \(10^9\) electrons move out of a body to another body every second, how much time approximately is required to get a total charge of \(1\) C on the other body?
1. \(200\) years
2. \(100\) years
3. \(150\) years
4. \(250\) years
Given below are two statements:
| Assertion (A): | When charges are shared between any two bodies, no charge is really lost but some loss of energy does occur. |
| Reason (R): | Some energy disappears in the form of heat, sparking, etc. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
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