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. |
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.
\(X\) 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 |
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 \(2~\mu\text{C}\). |
2. | \(2\) cm from \(2~\mu\text{C}\). |
3. | \(2\) cm from \(8~\mu\text{C}\). |
4. | \(3\) cm from \(8~\mu\text{C}\). |
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.
An electric dipole is placed at the centre of a sphere. Which of the following statements is correct?
1. | The electric flux through the sphere is zero. |
2. | The electric field is zero at every point on the sphere. |
3. | The electric field is zero at every point inside the sphere. |
4. | The electric field is uniform inside the sphere. |
A metallic solid sphere is placed in a uniform electric field. The lines of force, as shown in the figure, follow the path(s):
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)