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 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. | \(1.67\times 10^{23}~\text{C}\) |
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 \(\vec E_1,\vec E_2,\vec E_3,\) then which of the following is incorrect? \(\left ( d\gg l \right )\)
1. \(\vec E_1=-\vec E_3\)
2. \(\vec E_1=-2\vec E_2\)
3. \(\vec E_1=\vec E_3\)
4. \(\vec E_3=-2\vec E_2\)
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. \(4\)