Q. No.\(A,B\) and \(C\) are three points in a uniform electric field. The electric potential is:
| 1. | maximum at \(A\) |
| 2. | maximum at \(B\) |
| 3. | maximum at \(C\) |
| 4. | same at all the three points \(A,B\) and \(C\) |
The electric potential at a point in free space due to a charge \(Q\) coulomb is \(Q\times10^{11}~\text{V}\). The electric field at that point is:
1. \(4\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)
2. \(12\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)
3. \(4\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)
4. \(12\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)
The variation of potential with distance \(x\) from a fixed point is shown in the figure. The electric field at \(x=13~\text m\) is:
| 1. | \(7.5~\text{V/m}\) | 2. | \(-7.5~\text{V/m}\) |
| 3. | \(5~\text{V/m}\) | 4. | \(-5~\text{V/m}\) |
The figure shows some of the equipotential surfaces. The magnitude and direction of the electric field are given by:
| 1. | \(200~\text{V/m},\) making an angle \(120^\circ\) with the \(x\text-\)axis |
| 2. | \(100~\text{V/m},\) pointing towards the negative \(x\text-\)axis |
| 3. | \(200~\text{V/m},\) making an angle \(60^\circ\) with the \(x\text-\)axis |
| 4. | \(100~\text{V/m},\) making an angle \(30^\circ\) with the \(x\text-\)axis |
| 1. | If \(E\neq0,V\) cannot be zero |
| 2. | If \(V\neq0, E\) cannot be zero |
| 3. | If \(V\) is constant and non-zero, \(E\) must be zero |
| 4. | If \(V=0,E\) must be zero |
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
| 1. | \(10\) V | 2. | \(-20\) V |
| 3. | \(+20\) V | 4. | \(-10\) V |
| 1. | \(V = -x+y+\) constant |
| 2. | \(V\) = constant |
| 3. | \(V=-\left({x}^2+{y}^2\right)+\) constant |
| 4. | \(V=-x y+\) constant |
| 1. | \(8~\text{V/m},\) along the negative \(x\text-\)axis |
| 2. | \(8~\text{V/m},\) along the positive \(x\text-\)axis |
| 3. | \(16~\text{V/m},\) along the negative \(x\text-\)axis |
| 4. | \(16~\text{V/m},\) along the positive \(x\text-\)axis |
Work done to carry a negatively charged body in direction of the electric field:
(assuming no other force is acting on the body)
| 1. | is always negative. | 2. | maybe negative. |
| 3. | is always positive. | 4. | maybe zero. |
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