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Q. No.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 |
85%
Level 1: 80%+
NEET - 2022
Hints
A positively charged particle \(+q\) is projected with speed \(v\) toward a fixed charge \(+Q,\) and rebounds after reaching a minimum distance \(r.\) What will be the new closest distance of approach if its initial velocity is doubled to \(2v\text{?}\)
| 1. | \(\dfrac{r}{4}\) | 2. | \(\dfrac{r}{2}\) |
| 3. | \(\dfrac{r}{16}\) | 4. | \(\dfrac{r}{8}\) |
Subtopic: Electric Potential Energy |
71%
Level 2: 60%+
NEET - 2022
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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. | \(\dfrac{C}{2}\) |
| 3. | \(4C\) | 4. | \(\dfrac{C}{4}\) |
Subtopic: Capacitance |
81%
Level 1: 80%+
NEET - 2022
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The effective capacitances of two capacitors are \(3~\mu \text{F}\) and \(16~\mu \text{F}\), when they are connected in series and parallel respectively. The capacitance of two capacitors are:
1. \(10 ~\mu \text{F}, ~6~\mu \text{F} \)
2. \(8 ~\mu \text{F}, ~8~\mu \text{F} \)
3. \(12~\mu \text{F},~ 4~\mu \text{F} \)
4. \(1.2~\mu \text{F},~1.8~\mu \text{F} \)
1. \(10 ~\mu \text{F}, ~6~\mu \text{F} \)
2. \(8 ~\mu \text{F}, ~8~\mu \text{F} \)
3. \(12~\mu \text{F},~ 4~\mu \text{F} \)
4. \(1.2~\mu \text{F},~1.8~\mu \text{F} \)
Subtopic: Combination of Capacitors |
79%
Level 2: 60%+
NEET - 2022
Hints
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:
(\(\varepsilon_0\text-\)permittivity of free space)
(\(\varepsilon_0\text-\)permittivity of free space)
| 1. | zero | 2. | \(\dfrac{-q^2}{4\pi\varepsilon_0d}\) |
| 3. | \(\dfrac{-q^2}{4\pi\varepsilon_0d}\Big(3-\dfrac{1}{\sqrt2}\Big)\) | 4. | \(\dfrac{-q^2}{4\pi\varepsilon_0d}\Big(6-\dfrac{1}{\sqrt2}\Big)\) |
Subtopic: Electric Potential Energy |
84%
Level 1: 80%+
NEET - 2022
Hints
A hollow metal sphere of radius \(R\) is given \(+Q\) charges to its outer surface. The electric potential at a distance \(\dfrac{R}{3}\) from the centre of the sphere will be:
| 1. | \(\dfrac{1}{4\pi \varepsilon_0}\dfrac{Q}{9R}\) | 2. | \(\dfrac{3}{4\pi \varepsilon_0}\dfrac{Q}{R}\) |
| 3. | \(\dfrac{1}{4\pi \varepsilon_0}\dfrac{Q}{3R}\) | 4. | \(\dfrac{1}{4\pi \varepsilon_0}\dfrac{Q}{R}\) |
Subtopic: Electric Potential |
65%
Level 2: 60%+
NEET - 2022
Hints
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 |
58%
Level 3: 35%-60%
NEET - 2022
Hints
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 |
83%
Level 1: 80%+
NEET - 2022
Hints
Two hollow conducting spheres of radii \(R_1\) and \(R_2\) \(\left ( R_1\gg R_2 \right )\) are concentric and have equal charges. The potential would be:
| 1. | dependent on the material property of the sphere |
| 2. | more on the bigger sphere |
| 3. | more on the smaller sphere |
| 4. | equal on both the spheres |
Subtopic: Electric Potential |
71%
Level 2: 60%+
PMT - 2022
Hints
The equivalent capacitance of the system shown in the following circuit is:
| 1. | \(9~{\mu \text{F}}\) | 2. | \(2~{\mu \text{F}}\) |
| 3. | \(3~{\mu \text{F}}\) | 4. | \(6~{\mu \text{F}}\) |
Subtopic: Combination of Capacitors |
83%
Level 1: 80%+
NEET - 2023
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