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

Subtopic:  Energy of Dipole in an External Field |
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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 |
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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 \(\dfrac{1}{4 \pi \varepsilon_0}=k\))
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:  Energy of Dipole in an External Field |
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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. \(\dfrac{rV}{R^2}\) 2. \(\dfrac{R^2V}{r^3}\)
3. \(\dfrac{RV}{r^2}\) 4. \(\dfrac{V}{r}\)
Subtopic:  Electric Potential |
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NEET - 2023
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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:  Equipotential Surfaces |
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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 |
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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 |
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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. \(8~\mu \text F\)
Subtopic:  Combination of Capacitors |
 72%
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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:  Relation between Field & Potential |
 74%
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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:  Relation between Field & Potential |
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