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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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:
($$\varepsilon_0\text-$$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 |
82%
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 |
68%
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%
From NCERT
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%
From NCERT
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