Assertion (A): | The potential \((V)\) at any axial point, at \(2~\text m\) distance (\(r\)) from the centre of the dipole of dipole moment vector \(\vec P\) of magnitude, \(4\times10^{-6}~\text{C m},\) is \(\pm9\times10^3~\text{V}.\) (Take \({\frac{1}{4\pi\varepsilon_0}}=9\times10^9\) SI units) |
Reason (R): | \(V=\pm{\large\frac{2P}{4\pi\varepsilon_0r^2}},\) where \(r\) is the distance of any axial point situated at \(2~\text m\) from the centre of the dipole. |
1. | Both (A) and (R) are True and (R) is NOT the correct explanation of (A). |
2. | (A) is True but (R) is False. |
3. | (A) is False but (R) is True. |
4. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
\(\mathrm A.\) | the charge stored in it, increases. |
\(\mathrm B.\) | the energy stored in it, decreases. |
\(\mathrm C.\) | its capacitance increases. |
\(\mathrm D.\) | the ratio of charge to its potential remains the same. |
\(\mathrm E.\) | the product of charge and voltage increases. |
1. | \(\frac{rV}{R^2}\) | 2. | \(\frac{R^2V}{r^3}\) |
3. | \(\frac{RV}{r^2}\) | 4. | \(\frac{V}{r}\) |
1. | \(30~\mu \text{F}\) | 2. | \(15~\mu \text{F}\) |
3. | \(25~\mu\text{F}\) | 4. | \(20~\mu\text{F}\) |
1. | \(9~{\mu \text{F}}\) | 2. | \(2~{\mu \text{F}}\) |
3. | \(3~{\mu \text{F}}\) | 4. | \(6~{\mu \text{F}}\) |