1. | \(2\) | 2. | \(3\) |
3. | \(8\) | 4. | \(11\) |
1. | \({\dfrac 2 7} ~\text{m}\) | 2. | \({\dfrac 2 3}~\text{m}\) |
3. | \({\dfrac {22} {21}} ~\text{m}\) | 4. | \({\dfrac {20} {21}} ~\text{m}\) |
1. | \(-\dfrac{q}{2 \pi^{} \varepsilon_{0} r^{}} \) | 2. | \(-\dfrac{q}{4 \pi^{} \varepsilon_{0} r^{}} \) |
3. | \(\dfrac{q}{4 \pi^{} \varepsilon_{0} r^{}} \) | 4. | \(0\) |
Assertion (A): | In the absence of an externally applied electric field, the displacement per unit volume of a polar dielectric material is always zero. |
Reason (R): | In polar dielectrics, each molecule has a permanent dipole moment, but these dipoles are randomly oriented when there is no external electric field. |
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. | Both (A) and (R) are False. |
1. | \(\dfrac{1}{2} \varepsilon_{o} \dfrac{V^{2}}{d^{2}}\) | 2. | \(\dfrac{1}{2 \varepsilon_{o}} \dfrac{V^{2}}{d^{2}}\) |
3. | \(\dfrac{1}{2} C V^{2}\) | 4. | \(\dfrac{Q^{2}}{2 C}\) |
1. | ![]() |
2. | ![]() |
3. | ![]() |
4. | ![]() |
1. | \(3~\text{V/m},\) directed along the positive \(x\text-\)axis |
2. | \(3~\text{V/m},\) directed along the negative \(x\text-\)axis |
3. | \(6~\text{V/m},\) directed along the positive \(x\text-\)axis |
4. | \(6~\text{V/m},\) directed along the negative \(x\text-\)axis |