Three infinitely long charge sheets are placed as shown in the figure. The electric field at point P is:
1.
2.
3.
4.
Two-point charges \(+8q\) and \(-2q\) are located at \(x=0\) and \(x=L\) respectively. The location of a point on the \(x\text-\)axis at which the net electric field due to these two point charges is zero is:
1. \(8L\)
2. \(4L\)
3. \(2L\)
4. \(\frac{L}{4}\)
Which of the following graphs shows the variation of electric field \(E\) due to a hollow spherical conductor of radius \(R\) as a function of distance from the centre of the sphere?
1. | 2. | ||
3. | 4. |
Three positive charges of equal value \(q\) are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in:
1. | 2. | ||
3. | 4. |
The figure shows the electric lines of force emerging from a charged body. If the electric field at \(A\) and \(B\) are \(E_A\) and \(E_B\) respectively and if the displacement between \(A\) and \(B\) is \(r,\) then:
1. \(E_A>E_B\)
2. \(E_A<E_B\)
3.
4.
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. \(4\)
\(X\) 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.
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. |