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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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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Two charged spherical conductors of radii $$R_1$$ and $$R_2$$ are connected by a wire. The ratio of surface charge densities of spheres $$\left ( \frac{\sigma _{1}}{\sigma _{2}}\right )$$ is:
1. $$\sqrt{\frac{R_1}{R_2}}$$
2. $$\frac{R^2_1}{R^2_2}$$
3. $$\frac{R_1}{R_2}$$
4. $$\frac{R_2}{R_1}$$

Subtopic:  Electric Potential |
64%
From NCERT
NEET - 2021
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Twenty seven drops of same size are charged at $$220~\text{V}$$ each. They combine to form a bigger drop. Calculate the potential of the bigger drop.
1. $$1520~\text{V}$$
2. $$1980~\text{V}$$
3. $$660~\text{V}$$
4. $$1320~\text{V}$$

Subtopic:  Electric Potential |
67%
From NCERT
NEET - 2021
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The variation of electrostatic potential with radial distance $$r$$ from the centre of a positively charged metallic thin shell of radius $$R$$ is given by the graph:

 1 2 3 4
Subtopic:  Electric Potential |
71%
From NCERT
NEET - 2020
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Two metal spheres, one of radius $$R$$ and the other of radius $$2R$$ respectively have the same surface charge density $$\sigma.$$ They are brought in contact and separated.  What will be the new surface charge densities on them?
1. $$\sigma_{1}=\frac{5}{6}\sigma ,~\sigma_{2}=\frac{5}{6}\sigma$$
2. $$\sigma_{1}=\frac{5}{2}\sigma ,~\sigma_{2}=\frac{5}{6}\sigma$$
3. $$\sigma_{1}=\frac{5}{2}\sigma ,~\sigma_{2}=\frac{5}{3}\sigma$$
4. $$\sigma_{1}=\frac{5}{3}\sigma ,~\sigma_{2}=\frac{5}{6}\sigma$$
Subtopic:  Electric Potential |
55%
From NCERT
NEET - 2019
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A conducting sphere of the radius $$R$$ is given a charge $$Q.$$ The electric potential and the electric field at the centre of the sphere respectively are:

 1 zero and $$\frac{Q}{4 \pi \varepsilon_0 {R}^2}$$ 2 $$\frac{Q}{4 \pi \varepsilon_0 R}$$ and zero 3 $$\frac{Q}{4 \pi \varepsilon_0 R}$$ and $$\frac{Q}{4 \pi \varepsilon_0{R}^2}$$ 4 both are zero
Subtopic:  Electric Potential |
83%
From NCERT
AIPMT - 2014
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Four-point charges $$-Q, -q, 2q~\text{and}~2Q$$ are placed, one at each corner of the square. The relation between $$Q$$ and $$q$$ for which the potential at the center of the square is zero is:

 1 $$Q= -q$$ 2 $$Q= -2q$$ 3 $$Q= q$$ 4 $$Q= 2q$$
Subtopic:  Electric Potential |
75%
From NCERT
AIPMT - 2012
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Two metallic spheres of radii $$1~\text{cm}$$ and $$3~\text{cm}$$ are given charges of $$-1\times 10^{-2}~\text{C}$$ and $$5\times 10^{-2} ~\text{C}$$, respectively. If these are connected by a conducting wire, then the final charge on the bigger sphere is:
1. $$3\times 10^{-2}~ \text{C}$$
2. $$4\times 10^{-2}~\text{C}$$
3. $$1\times 10^{-2}~\text{C}$$
4. $$2\times 10^{-2}~\text{C}$$

Subtopic:  Electric Potential |
65%
From NCERT
AIPMT - 2012
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