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 |
79%
From NCERT
NEET - 2023
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An electric dipole is placed as shown in the figure.

The electric potential (in $$10^2~\text{V}$$) at the point $$P$$ due to the dipole is:
($$\epsilon_0$$= permittivity of free space and $$\frac{1}{4 \pi \epsilon_0}=k$$)
1. $$\left(\frac{8}{3}\right)qk$$
2. $$\left(\frac{3}{8}\right)qk$$
3. $$\left(\frac{5}{8}\right)qk$$
4. $$\left(\frac{8}{5}\right)qk$$
Subtopic:  Energy of Dipole in an External Field |
61%
From NCERT
NEET - 2023
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The equivalent capacitance of the arrangement shown in the figure is:

 1 $$30~\mu \text{F}$$ 2 $$15~\mu \text{F}$$ 3 $$25~\mu\text{F}$$ 4 $$20~\mu\text{F}$$
Subtopic:  Combination of Capacitors |
67%
From NCERT
NEET - 2023
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If a conducting sphere of radius $$R$$ is charged. Then the electric field at a distance $$r(r>R)$$ from the centre of the sphere would be, ($$V$$=potential on the surface of the sphere):
 1 $$\frac{rV}{R^2}$$ 2 $$\frac{R^2V}{r^3}$$ 3 $$\frac{RV}{r^2}$$ 4 $$\frac{V}{r}$$
Subtopic:  Electric Potential |
From NCERT
NEET - 2023
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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 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%
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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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 |
62%
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 |
84%
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 $$\frac{r}{4}$$ 2 $$\frac{r}{2}$$ 3 $$\frac{r}{16}$$ 4 $$\frac{r}{8}$$
Subtopic:  Electric Potential Energy |
67%
From NCERT
NEET - 2022
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