# 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 |
78%
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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 $$1.2~\mu \text{F},~1.8~\mu \text{F}$$
Subtopic:  Combination of Capacitors |
76%
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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. $$\frac{-q^2}{4\pi\varepsilon_0d}$$
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 |
82%
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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 $$\frac{r}{4}$$ 2 $$\frac{r}{2}$$ 3 $$\frac{r}{16}$$ 4 $$\frac{r}{8}$$
Subtopic:  Electric Potential Energy |
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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%
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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 $$\frac{R}{3}$$ 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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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 |
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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 |
81%
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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