Q. No.If \(50~\text{J}\) of work must be done to move an electric charge of \(2~\text{C}\) from a point where the potential is \(-10\) volt to another point where the potential is \(\mathrm{V}\) volt, then the value of \(\mathrm{V}\) is:
1. \(5\) volt
2. \(-15\) volt
3. \(+15\) volt
4. \(+10\) volt
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How much kinetic energy will be gained by an \(\alpha\text-\text{particle}\) in going from a point at \(70~\text{V}\) to another point at \(50~\text{V}\)?
| 1. | \(40~\text{eV}\) | 2. | \(40~\text{keV}\) |
| 3. | \(40~\text{MeV}\) | 4. | 0 |
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Three charges, each \(+q\), are placed at the corners of an equilateral triangle \(ABC\) of sides \(BC\), \(AC\), and \(AB\). \(D\) and \(E\) are the mid-points of \(BC\) and \(CA\). The work done in taking a charge \(Q\) from \(D\) to \(E\) is:
| 1. | \(\frac{3qQ}{4\pi \varepsilon_0 a}\) | 2. | \(\frac{3qQ}{8\pi \varepsilon_0 a}\) |
| 3. | \(\frac{qQ}{4\pi \varepsilon_0 a}\) | 4. | \(\text{zero}\) |
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In a circuit, 5 C of charge is passed through a battery in a given time. The plates of the battery are maintained at a potential difference of 12 V. The work done by the battery is:
| 1. | 120 J | 2. | 60 J |
| 3. | 30 J | 4. | 15 J |
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Four point charges \(-Q, -q,2q~\text{and}~2Q\) are placed, one at each corner of the square. The relation between \(Q\) and \(q\) for which the potential at the center of the square is zero, is:
| 1. | \(Q=-q \) | 2. | \(Q=-\frac{1}{q} \) |
| 3. | \(Q=q \) | 4. | \(\mathrm{Q}=\frac{1}{q}\) |
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A bullet of mass 2 g is having a charge of 2 µC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s?
1. 50 kV
2. 5 V
3. 50 V
4. 5 kV
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Ten electrons are equally spaced and fixed around a circle of radius R. Relative to V = 0 at infinity, the electrostatic potential V and the electric field E at the centre C are:
| 1. | \(V \neq 0 \text { and } \vec{E} \neq 0\) |
| 2. | \(V \neq 0 \text { and } \vec{E}=0\) |
| 3. | \(V=0 \text { and } \vec{E}=0\) |
| 4. | \(V=0 \text { and } \vec{E} \neq 0\) |
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Four electric charges \(+\mathrm q,\) \(+\mathrm q,\) \(-\mathrm q\) and \(-\mathrm q\) are placed at the corners of a square of side \(2\mathrm{L}\) (see figure). The electric potential at point A, mid-way between the two charges \(+\mathrm q\) and \(+\mathrm q\) is:
1.
2.
3. zero
4.
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Eight equally charged tiny drops are combined to form a big drop. If the potential on each drop is 10 V, then the potential of the big drop will be:
| 1. | 40 V | 2. | 10 V |
| 3. | 30 V | 4. | 20 V |
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The increasing order of the electrostatic potential energies for the given system of charges is given by:
| 1. | a = d < b < c | 2. | b = d < c < a |
| 3. | b = c < a < d | 4. | c < a < b < d |
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