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. \(1.2~\mu \text{F},~1.8~\mu \text{F}\)

Subtopic:  Combination of Capacitors |
 76%
From NCERT
NEET - 2022
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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. \(\dfrac{-q^2}{4\pi\varepsilon_0d}\)
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 |
 82%
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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 |
 78%
From NCERT
NEET - 2022
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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 an initial velocity \(2v,\) is:

1. \(\dfrac{r}{4}\) 2. \(\dfrac{r}{2}\)
3. \(\dfrac{r}{16}\) 4. \(\dfrac{r}{8}\)
Subtopic:  Electric Potential Energy |
 67%
From NCERT
NEET - 2022
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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 |
 83%
From NCERT
NEET - 2022
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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 \(\dfrac{R}{3}\) 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 |
 62%
From NCERT
NEET - 2022
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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 |
 56%
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NEET - 2022
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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 |
 82%
From NCERT
NEET - 2022
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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 |
 71%
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NEET - 2022
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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 |
 78%
From NCERT
NEET - 2023
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