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Q. No.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: Â Electric Potential Energy |
 84%
From NCERT
NEET - 2022
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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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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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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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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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Two capacitors, each having a capacitance of \(40~\mu\text F\) are connected in series. The space between one of the capacitors is filled with a dielectric material of dielectric constant \(K,\) such that the equivalent capacitance of the system becomes \(24~\mu\text F.\) The value of \(K\) will be:
1. \(1.5\)
2. \(2.5\)
3. \(1.2\)
4. \(3\)
1. \(1.5\)
2. \(2.5\)
3. \(1.2\)
4. \(3\)
Subtopic: Â Dielectrics in Capacitors |
 63%
From NCERT
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How will the voltage \((V)\) between the two plates of a parallel plate capacitor depend on the distance \((d)\) between the plates, if the charge on the capacitor remains the same?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Capacitance |
From NCERT
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Energy per unit volume for a capacitor having area \(A\) and separation \(d\) kept at the potential difference \(V\) is given by:
| 1. | \(\dfrac{1}{2} \varepsilon_{o} \dfrac{V^{2}}{d^{2}}\) | 2. | \(\dfrac{1}{2 \varepsilon_{o}} \dfrac{V^{2}}{d^{2}}\) |
| 3. | \(\dfrac{1}{2} C V^{2}\) | 4. | \(\dfrac{Q^{2}}{2 C}\) |
Subtopic: Â Energy stored in Capacitor |
 77%
From NCERT
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