Two charges placed in the air at a distance of \(1\) m exert force \(F\) on each other. If these charges are placed inside mica at the same distance, then the new net force between charges is:
1. | \(>F\) |
2. | \(<F\) |
3. | \(=F\) |
4. | depends on the area of the slab |
1. | zero | 2. | \(4\dfrac{kq}{a^2}\) |
3. | \(2\dfrac{kq}{a^2}\) | 4. | \(2\sqrt2\dfrac{kq}{a^2}\) |
1. | the electric force acting on them are equal. |
2. | the magnitude of the forces is equal. |
3. | their acceleration is equal. |
4. | the magnitude of their acceleration is equal. |
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. | \(10^{6 }~ \text{NC}^{-1} \) |
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. |
A point charge is brought in an electric field. The electric field at a nearby point,
(a) | will increase if the charge is positive |
(b) | will decrease if the charge is negative |
(c) | may increase if the charge is positive |
(d) | may decrease if the charge is negative |
1. | (a) only | 2. | (b), (c) |
3. | (c), (d) | 4. | (a), (d) |
Twelve point charges each of charge \(q~\text C\) are placed at the circumference of a circle of radius \(r~\text m\) with equal angular spacing. If one of the charges is removed, the net electric field (in \(\text{N/C}\)) at the centre of the circle is:
(\(\varepsilon_0 \)-permittivity of free space)
1. | \(\frac{13q}{4\pi \varepsilon_0r^2}\) | 2. | zero |
3. | \(\frac{q}{4\pi \varepsilon_0r^2}\) | 4. | \(\frac{12q}{4\pi \varepsilon_0r^2}\) |
\(ABC\) is an equilateral triangle. Charges \(+q\) are placed at each corner. The electric intensity at \(O\) will be:
1. | \(\dfrac{1}{4\pi\epsilon _0}\dfrac{q}{r^{2}}\) | 2. | \(\dfrac{1}{4\pi\epsilon _0}\dfrac{q}{r^{}}\) |
3. | zero | 4. | \(\dfrac{1}{4\pi\epsilon _0}\dfrac{3q}{r^{2}}\) |