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Q. No.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.
\(\dfrac{rV}{R^2}\)
2.
\(\dfrac{R^2V}{r^3}\)
3.
\(\dfrac{RV}{r^2}\)
4.
\(\dfrac{V}{r}\)
Subtopic: Â Electric Potential |
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:
(\(\varepsilon_0=\) permittivity of free space and \(\dfrac{1}{4 \pi \varepsilon_0}=k\))
The electric potential (in \(10^2~\text{V}\)) at the point \(P\) due to the dipole is:
(\(\varepsilon_0=\) permittivity of free space and \(\dfrac{1}{4 \pi \varepsilon_0}=k\))
| 1. | \(\left(\dfrac{8}{3}\right)qk\) | 2. | \(\left(\dfrac{3}{8}\right)qk\) |
| 3. | \(\left(\dfrac{5}{8}\right)qk\) | 4. | \(\left(\dfrac{8}{5}\right)qk\) |
Subtopic: Â Energy of Dipole in an External Field |
 64%
From NCERT
NEET - 2023
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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: Â Combination of Capacitors |
 83%
From NCERT
NEET - 2023
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If an electric dipole of moment \(p\) is placed normally to the lines of forces of electric intensity \(E,\) then the work done in deflecting it through an angle of \(180^\circ\) will be:
1. \(pE\)
2. \(pE/2\)
3. \(2pE\)
4. zero
1. \(pE\)
2. \(pE/2\)
3. \(2pE\)
4. zero
Subtopic: Â Energy of Dipole in an External Field |
From NCERT
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Identify the incorrect statement from the following:
| 1. | The equipotential surface created by a single-point charge is spherical. |
| 2. | Equipotential surfaces can also be constructed for a dipole. |
| 3. | Equipotential surfaces are always perpendicular to electric field lines. |
| 4. | The work done in moving a test charge along an equipotential surface is positive. |
Subtopic: Â Equipotential Surfaces |
 84%
From NCERT
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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)
(\(\varepsilon_0\text-\)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: Â Electric Potential Energy |
 84%
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. \(1.2~\mu \text{F},~1.8~\mu \text{F}\)
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: Â Combination of Capacitors |
 79%
From NCERT
NEET - 2022
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The equivalent capacitance between points A and B in the figure (shown below) will be:
1. \(2~\mu \text F\)
2. \(4~\mu \text F\)
3. \(6~\mu \text F\)
4. \(8~\mu \text F\)
1. \(2~\mu \text F\)
2. \(4~\mu \text F\)
3. \(6~\mu \text F\)
4. \(8~\mu \text F\)
Subtopic: Â Combination of Capacitors |
 72%
From NCERT
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Two large metal plates are connected to a \(120\) V supply (see figure). What is the magnitude of force experienced by an electron \((e=-1.6\times10^{-19}~\text C)\) placed between the plates? (assume that the plates are in a vacuum)
| 1. | \(0.96\times10^{-16}~\text N\) | 2. | \(4.8\times10^{-16}~\text N\) |
| 3. | \(9.6\times10^{-16}~\text N\) | 4. | \(96\times10^{-16}~\text N\) |
Subtopic: Â Relation between Field & Potential |
 74%
From NCERT
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The electric potential at any point \((x,y,z)~\text m\) in space is given by \(V=3x^{2}~\text V.\) The electric field at the point \((1,0,3)~\text m\) will be:
| 1. | \(3~\text{V/m},\) directed along the positive \(x\text-\)axis |
| 2. | \(3~\text{V/m},\) directed along the negative \(x\text-\)axis |
| 3. | \(6~\text{V/m},\) directed along the positive \(x\text-\)axis |
| 4. | \(6~\text{V/m},\) directed along the negative \(x\text-\)axis |
Subtopic: Â Relation between Field & Potential |
 77%
From NCERT
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