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Q. No.Two hollow conducting spheres of radii \(R_1\) and \(R_2\) \(\left ( R_1\gg R_2 \right )\) have equal charges. The potential would be:
1.
dependent on the material property of the sphere
2.
more on bigger sphere
3.
more on smaller sphere
4.
equal on both the spheres
Subtopic: Electric Potential |
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The angle between the electric lines of force and the equipotential surface is:
| 1. | \(180^\circ\) | 2. | \(0^\circ\) |
| 3. | \(45^\circ\) | 4. | \(90^\circ\) |
Subtopic: Equipotential Surfaces |
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A capacitor of capacitance \(C=900~\text{pF}\) is charged fully by \(100~\text{V}\) battery \(B\) as shown in Figure \((a)\). Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance \(C=900~\text{pF}\) as shown in Figure \((b)\). The electrostatic energy stored by the system \((b)\) is:
| 1. | \(1.5\times 10^{-6}~\text{J}\) | 2. | \(4.5\times 10^{-6}~\text{J}\) |
| 3. | \(3.25\times 10^{-6}~\text{J}\) | 4. | \(2.25\times 10^{-6}~\text{J}\) |
Subtopic: Energy stored in Capacitor |
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A hollow metal sphere of radius \(R\) is given \(+Q\) charges to its outer surface. The electric potential at a distance \(\frac{R}{3}\) from the centre of the sphere will be:
| 1. | \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{9R}\) | 2. | \(\frac{3}{4\pi \varepsilon_0}\frac{Q}{R}\) |
| 3. | \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{3R}\) | 4. | \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{R}\) |
Subtopic: Electric Potential |
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Three capacitors, each of capacitance \(0.3~\mu \text{F}\) are connected in parallel. This combination is connected with another capacitor of capacitance \(0.1~\mu \text{F}\) in series. Then the equivalent capacitance of the combination is:
| 1. | \(0.9~\mu\text{F}\) | 2. | \(0.09~\mu\text{F}\) |
| 3. | \(0.1~\mu\text{F}\) | 4. | \(0.01~\mu\text{F}\) |
Subtopic: Combination of Capacitors |
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When a particle with charge \(+q\) is thrown with an initial velocity \(v\) towards another stationary change \(+Q,\) it is repelled back after reaching the nearest distance \(r\) from \(+Q.\) The closest distance that it can reach if it is thrown with initial velocity \(2v,\) is:
| 1. | \(\frac{r}{4}\) | 2. | \(\frac{r}{2}\) |
| 3. | \(\frac{r}{16}\) | 4. | \(\frac{r}{8}\) |
Subtopic: Electric Potential Energy |
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The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate is halved. If \(C\) is its initial capacitance, its final capacitance is equal to:
| 1. | \(2C\) | 2. | \(\frac{C}{2}\) |
| 3. | \(4C\) | 4. | \(\frac{C}{4}\) |
Subtopic: Capacitance |
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The effective capacitances of two capacitors are 3 \(\mu F\) and 16 \(\mu F\), when they are connected in series and parallel respectively. The capacitance of two capacitors are:
| 1. | 10 \(\mu F\), 6 \(\mu F\) | 2. | 8 \(\mu F\), 8 \(\mu F\) |
| 3. | 12 \(\mu F\), 4 \(\mu F\) | 4. | 1.2 \(\mu F\), 1.8 \(\mu F\) |
Subtopic: Capacitance |
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Six charges \(+q,\) \(-q,\) \(+q,\) \(-q,\) \(+q\) and \(-q\) are fixed at the corners of a hexagon of side \(d\) as shown in the figure. The work done in bringing a charge \(q_0\) to the centre of the hexagon from infinity is:
(\(\varepsilon_0-\)permittivity of free space)
1. zero
2. \(\frac{-q^2}{4\pi\varepsilon_0d}\)
3. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(3-\frac{1}{\sqrt2}\Big)\)
4. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(6-\frac{1}{\sqrt2}\Big)\)
(\(\varepsilon_0-\)permittivity of free space)
1. zero
2. \(\frac{-q^2}{4\pi\varepsilon_0d}\)
3. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(3-\frac{1}{\sqrt2}\Big)\)
4. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(6-\frac{1}{\sqrt2}\Big)\)
Subtopic: Electric Potential Energy |
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The equivalent capacitance of the system shown in the following circuit is:
| 1. | \(9~\mathrm{\mu F}\) | 2. | \(2~\mathrm{\mu F}\) |
| 3. | \(3~\mathrm{\mu F}\) | 4. | \(6~\mathrm{\mu F}\) |
Subtopic: Combination of Capacitors |
75%
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NEET - 2023
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