1. | \( \dfrac{q^{2}}{2 \pi \varepsilon_{0} a^{2}}\) | 2. | \( \dfrac{q^{2}}{4 \pi \varepsilon_{0} a^{2}}\) |
3. | \(\dfrac{q^{2}}{4 \sqrt{2} \pi \varepsilon_{0} a^{2}}\) | 4. | \( \dfrac{q^{2}}{\pi \varepsilon_{0} a}\) |
1. | oscillatory motion |
2. | simple harmonic motion |
3. | will come to rest at centre |
4. | will continue moving along \(y\)-axis |
1. | \(1.3\times 10^{2}\) s | 2. | \(2.1\times 10^{-12}\) s |
3. | \(1.6\times 10^{-10}\) s | 4. | \(2.9\times 10^{-9}\) s |
1. | zero | 2. | \(aA\) |
3. | \(bA\) | 4. | \(A\sqrt{a^2+b^2}\) |
1. | \(6.25\times10^{20}\) | 2. | \(1.6\times10^{19}\) |
3. | \(6.25\times10^{18}\) | 4. | \(1.6\times10^{-19}\) |
1. | Charge on any body is quantised. |
2. | Charge on any isolated system remains conserved. |
3. | Unlike mass, the charge is non-relativistic. |
4. | Unlike charged bodies always repel each other. |
Assertion (A): | Point charges \(q_{1}\) and \(q_{2}\) produce electric field of magnitude \(E_{1}\) and \(E_{2}\) at a point and potential \(V_{1}\) and \(V_{2}\) at the same point. The electric field due to both the charges at that point must be \(E_{1}+E_{2}.\) |
Reason (R): | The electric potential at that point due to both the charges must be \(V_{1}+V_{2}.\) |
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. |
1. | \(\dfrac{1}{{R}^{6}}\) | 2. | \(\dfrac{1}{{R}^{2}}\) |
3. | \(\dfrac{1}{{R}^{3}}\) | 4. | \(\dfrac{1}{{R}^{4}}\) |