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. |
1. | 2. | ||
3. | 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. |
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. \(\frac{L}{4}\)
Three infinitely long charge sheets are placed as shown in the figure. The electric field at point \(P\) is:
1. \(\dfrac{2\sigma}{\varepsilon_0}\hat k\)
2. \(-\dfrac{2\sigma}{\varepsilon_0}\hat k\)
3. \(\dfrac{4\sigma}{\varepsilon_0}\hat k\)
4. \(-\dfrac{4\sigma}{\varepsilon_0}\hat k\)