Q. No.| 1. | zero | 2. | \(\sqrt2\dfrac{kq}{a}\) |
| 3. | \(2\dfrac{kq}{a}\) | 4. | \(4\dfrac{kq}{a}\) |
Two tiny spheres carrying charges of \(1.5\) µC and \(2.5\) µC are located \(30\) cm apart. What is the potential at a point \(10\) cm from the midpoint in a plane normal to the line and passing through the mid-point?
| 1. | \(1.5\times 10^{5}\) V | 2. | \(1.0\times 10^{5}\) V |
| 3. | \(2.4\times 10^{5}\) V | 4. | \(2.0\times 10^{5}\) V |
1. \(10\) V
2. \(5 \sqrt 2\) V
3. \(10 \sqrt 2\) V
4. \(10 (\sqrt {2} -1)\) V
| 1. | zero | 2. | \(\dfrac{kq }{2R}\) |
| 3. | \(\dfrac{-kq }{ 2R}\) | 4. | \(\dfrac{2kq }{ R}\) |
1. \(180^\circ\)
2. \(0^\circ\)
3. \(45^\circ\)
4. \(90^\circ\)
The diagrams below show regions of equipotential.
A positive charge is moved from \(A\) to \(B\) in each diagram. Choose the correct statement from the options given below:
| 1. | in all four cases, the work done is the same. |
| 2. | minimum work is required to move \(q\) in figure \(\mathrm{(a)}.\) |
| 3. | maximum work is required to move \(q\) in figure \(\mathrm{(b)}.\) |
| 4. | maximum work is required to move \(q\) in figure \(\mathrm{(c)}.\) |
Consider a uniform electric field in the \(z\text-\)direction. The potential is a constant:
| (a) | in all space. |
| (b) | for any \(x\) for a given \( z.\) |
| (c) | for any \( y\) for a given \( z.\) |
| (d) | on the \({x\text-y}\) plane for a given \( z.\) |
Choose the correct from the given options:
| 1. | (c) and (d) only | 2. | (a) and (c) only |
| 3. | (b), (c) and (d) only | 4. | (a) and (b) only |
In a region, the potential is represented by \(V=(x,y,z)=6x-8xy-8y+6yz,\) where \(V\) is in volts and \(x,y,z\) are in meters. The electric force experienced by a charge of \(2\) coulomb situated at a point \((1,1,1)\) is:
1. \(6\sqrt{5}~\text{N}\)
2. \(30~\text{N}\)
3. \(24~\text{N}\)
4. \(4\sqrt{35}~\text{N}\)
In a certain region of space with volume \(0.2~\text m^3,\) the electric potential is found to be \(5~\text V\) throughout. The magnitude of the electric field in this region is:
1. \(0.5~\text {N/C}\)
2. \(1~\text {N/C}\)
3. \(5~\text {N/C}\)
4. zero
The electric field at the origin is along the positive \(x\text-\)axis. A small circle is drawn with the centre at the origin cutting the axes at points \(\mathrm A\), \(\mathrm B\), \(\mathrm C\) and \(\mathrm D\) having coordinates \((a,0),(0,a),(-a,0),(0,-a)\) respectively. Out of the points on the periphery of the circle, the potential is minimum at:
1. \(\mathrm A\)
2. \(\mathrm B\)
3. \(\mathrm C\)
4. \(\mathrm D\)
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