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Q. No.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.
\(\dfrac{12q}{4\pi \varepsilon_0r^2}\)
(\(\varepsilon_0\text- \)permittivity of free space)
Subtopic: Electric Field |
65%
From NCERT
NEET - 2022
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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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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. \(10\)
(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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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. \(9\times 10^{-7}~\text{C-m}\)
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%
From NCERT
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Two point charges \({-q}\) and \({+q}\) are placed at a distance of \({L},\) as shown in the figure.
The magnitude of electric field intensity at a distance \({R}~(R \gg L )\) varies as:
The magnitude of electric field intensity at a distance \({R}~(R \gg L )\) varies as:
| 1. | \(\dfrac{1}{{R}^{6}}\) | 2. | \(\dfrac{1}{{R}^{2}}\) |
| 3. | \(\dfrac{1}{{R}^{3}}\) | 4. | \(\dfrac{1}{{R}^{4}}\) |
Subtopic: Electric Dipole |
72%
From NCERT
NEET - 2022
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An electron, initially at rest, is subjected to a uniform electric field of magnitude \(2\times 10^{4}\) N/C. It accelerates and travels a distance of \(1.5~\text{cm}\) due to the field. The time taken by the electron to cover this distance is:
| 1. | \(1.3\times 10^{2}\) s | 2. | \(2.1\times 10^{-12}\) s |
| 3. | \(1.6\times 10^{-10}\) s | 4. | \(2.9\times 10^{-9}\) s |
Subtopic: Electric Field |
74%
From NCERT
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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. \( {pE}^2\)
1. \( p^2 E\)
2. \( p E\)
3. infinite
4. \( {pE}^2\)
Subtopic: Electric Dipole |
90%
From NCERT
NEET - 2013
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Two positive charges each of charge \(q\) are kept at \((a, 0)\) and \((-a, 0).\) A negative charge \(q\) is kept at \((0, 0).\) If the negative charge is displaced \(y\) distance towards positive \(y\)-axis, then motion of the negative charge after disturbance will be:
(\(y<<a\))
(\(y<<a\))
| 1. | oscillatory motion |
| 2. | simple harmonic motion |
| 3. | will come to rest at centre |
| 4. | will continue moving along \(y\)-axis |
Subtopic: Coulomb's Law |
61%
From NCERT
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