\(X\) and \(Y\) are large, parallel conducting plates close to each other. Each face has an area \(A\). \(X\) is given a charge \(Q\). \(Y\) is without any charge. Points \(A\), \(B\), and \(C\) are as shown in the figure. The incorrect option is:
1. | the field at \(B\) is \(Q \over2ε_0A\) | 2. | the field at \(B\) is \(Q\overε_0A\) |
3. | the fields at \(A\), \(B\), and \(C\) are of the same magnitude | 4. | the fields at \(A\) and \(C\) are of the same magnitude but in opposite directions |
Three charges are placed at the vertices of an equilateral triangle of side \(a\) as shown in the following figure. The force experienced by the charge placed at the vertex A in a direction normal to BC is:
1.
2.
3. zero
4.
Two identical conductors of copper and aluminium are placed in an identical electric field. The magnitude of induced charge in the aluminium will be:
1. zero.
2. greater than in copper.
3. equal to that in copper.
4. less than in copper.
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. | \(1.67\times 10^{23}~\text{C}\) |
1. | \(E\) at all points on the \(y\text-\)axis is along \(\hat i.\) |
2. | The electric field \(\vec E\) at all points on the \(x\text-\)axis has the same direction. |
3. | Dipole moment is \(2qd\) directed along \(\hat i.\) |
4. | Work has to be done in bringing a test charge from infinity to the origin. |
The net dipole moment of the system is of the magnitude:
1. \(q\times 2a\)
2. \(2q \times 2a\)
3. \(q\times a\)
4. \(2\times (2q\times 2a)\)
1. | \(4\) cm from \(2\) μC. |
2. | \(2\) cm from \(2\) μC. |
3. | \(2\) cm from \(8\) μC. |
4. | \(3\) cm from \(8\) μC. |
The ratio of the electric flux linked with shell \(A\) and shell \(B\) in the diagram shown below is:
1. | \(1: 1\) | 2. | \(1: 2\) |
3. | \(1: 4\) | 4. | \(4: 2\) |
An electric dipole is kept at the origin as shown in the diagram. The point A, B, C are on a circular arc with the centre of curvature at the origin. If the electric fields at A, B and C respectively are , then which of the following is incorrect? \(\left ( d\gg l \right )\)
1.
2.
3.
4.
A large non-conducting sheet S is given a uniform charge density. Two uncharged small, metal rods A and B are placed near the sheet as shown in the following diagram. Choose the incorrect option:
1. S attracts A.
2. S attracts B.
3. A attracts B.
4. S repels A.