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An electric dipole of dipole moment \({p}\) is aligned parallel to a uniform electric field \({E}.\) The energy required to rotate the dipole by \(90^\circ\) is:
1. \( p^2 E\)
2. \( p E\)
3. infinite
4. \( {pE}^2\)

Subtopic:  Electric Dipole |
 90%
From NCERT
NEET - 2013
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If \(\oint_s \vec{E} \cdot {d \vec S}=0\) over a surface, then:
1. the electric field inside the surface is necessarily uniform.
2. the number of flux lines entering the surface must be equal to the number of flux lines leaving it.
3. the magnitude of electric field on the surface is constant.
4. all the charges must necessarily be inside the surface.
Subtopic:  Gauss's Law |
 81%
From NCERT
NEET - 2023
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An electric dipole is placed at an angle of \(30^\circ\) with an electric field of intensity \(2\times 10^5 ~\text{NC}^{-1}\). It experiences a torque equal to \(4~\text{N-m}\). If the dipole length is \(2\) cm, calculate the magnitude of the charge on the dipole.
1. \(2~\text{mC}\) 2. \(8~\text{mC}\)
3. \(6~\text{mC}\) 4. \(4~\text{mC}\)
Subtopic:  Electric Dipole |
 76%
From NCERT
NEET - 2023
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According to Gauss's law in electrostatics, the electric flux through a closed surface depends on:

1. the area of the surface
2. the quantity of charges enclosed by the surface
3. the shape of the surface
4. the volume enclosed by the surface
Subtopic:  Gauss's Law |
 84%
From NCERT
NEET - 2023
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A system has two charges \(q_1=4.5\times 10^{-6}~\text{C}\) and \(q_2=-4.5\times 10^{-6}~\text{C}\) located at points \(A\text:(0,0,-20)~\text{cm}\) and \(B\text:(0,0,+20)~\text{cm},\) respectively. The electric dipole moment of the system is:
1. \(9\times 10^{-6}~\text{C-m}\)
2. \(1.8\times 10^{-7}~\text{C-m}\)
3. \(1.8\times 10^{-6}~\text{C-m}\)
4. \(9\times 10^{-7}~\text{C-m}\)
Subtopic:  Electric Dipole |
 69%
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The ratio of Coulomb's electrostatic force to the gravitational force between an electron and a proton separated by some distance is \(2.4\times 10^{39}.\) The ratio of the proportionality constant, \(k=\frac{1}{4\pi\varepsilon_0}\) to the gravitational constant \(G\) is nearly:
(Given that the charge of the proton and electron each \(=1.6\times 10^{-19},\) the mass of the electron \(=9.11\times 10^{-31}~\text{kg},\) the mass of the proton \(=1.67\times 10^{-27}~\text{kg}\) ):
1. \(10^{20}\)
2. \(10^{30}\)
3. \(10^{40}\)
4. \(10\)
Subtopic:  Coulomb's Law |
 62%
From NCERT
NEET - 2022
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Two electric dipoles of dipole moments \(1.2\times10^{-30}\) C-m and \(2.4\times10^{-30}\) C-m are placed in two different uniform electric fields of strengths \(5\times10^{4}\) NC–1 and \(15\times10^{4}\) NC–1 respectively. The ratio of maximum torque experienced by the electric dipoles is \( \dfrac{1}{x}.\) The value of \(x \) is:
1. \(2\) 2. \(4\)
3. \(6\) 4. \(8\)
Subtopic:  Electric Dipole |
 89%
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An isosceles right angle triangle of side \(\mathrm{d}\) is placed in a horizontal plane. A point charge \({q}\) is placed at a distance \({d}\) vertically above one of the corners as shown in the figure. The flux of the electric field passing through the triangle is:
                 
1. \(\dfrac{q}{6} \varepsilon_{0}\) 2. \(\dfrac{q}{18} \varepsilon_{0}\)
3. \(\dfrac{q}{24} \varepsilon_{0}\) 4. \(\dfrac{q}{48} \varepsilon_{0}\)
Subtopic:  Gauss's Law |
 52%
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The electric field, at the centre of a square with charges placed at its four vertices as shown in the figure, is: \(\left(k=\dfrac{1}{4\pi\varepsilon_0}\right)\)
 
1. zero 2. \(4\dfrac{kq}{a^2}\)
3. \(2\dfrac{kq}{a^2}\) 4. \(2\sqrt2\dfrac{kq}{a^2}\)  
Subtopic:  Electric Field |
 70%
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Twelve point charges each of charge \(q~\text C\) are placed at the circumference of a circle of radius \(r~\text{m}\) with equal angular spacing. If one of the charges is removed, the net electric field (in \(\text{N/C}\)) at the centre of the circle is:
(\(\varepsilon_0\text- \)permittivity of free space)

1. \(\dfrac{13q}{4\pi \varepsilon_0r^2}\) 2. zero
3. \(\dfrac{q}{4\pi \varepsilon_0r^2}\) 4. \(\dfrac{12q}{4\pi \varepsilon_0r^2}\)
Subtopic:  Electric Field |
 65%
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NEET - 2022
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