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Q. No.Which of the following field configurations is/are possible?
Note: \(A,B,C\) are conductors. Other charges may be present in the vicinity.
1.
I, III
2.
II
3.
I, II, III
4.
none of I, II, III
Subtopic: Electric Field |
Level 3: 35%-60%
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Identical point charges (\(q\) each), are placed at the eight corners of a cube of side \(a.\) When one of the charges is removed, the electric field at the center becomes \(E_c.\)
Now, identical point charges (same magnitude \(q\) each), are placed at the four corners of a square of side \(a.\) When one of the charges is removed, the electric field at the center becomes \(E_s.\) Then,
Now, identical point charges (same magnitude \(q\) each), are placed at the four corners of a square of side \(a.\) When one of the charges is removed, the electric field at the center becomes \(E_s.\) Then,
| 1. | \(\dfrac{E_s}{2}=\dfrac{E_C}{3}\) | 2. | \(\dfrac{E_s}{3}=\dfrac{E_C}{2}\) |
| 3. | \(\dfrac{E_s}{\sqrt2}=\dfrac{E_C}{\sqrt3}\) | 4. | \(\dfrac{E_s}{\sqrt3}=\dfrac{E_C}{\sqrt2}\) |
Subtopic: Electric Field |
62%
Level 2: 60%+
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Three charges \(q,~q,~-q\) are placed at the three corners of an equilateral triangle \(ABC\), of side \(a.\)
The mid-point of side \(AB\) is \(P\) while the circumcenter of \(ABC\) is \(O\). Let the electric field at \(P\) be \(E_p\) and that at \(O\) be \(E_O.\)
Then, \(E_O:E_P=\)
The mid-point of side \(AB\) is \(P\) while the circumcenter of \(ABC\) is \(O\). Let the electric field at \(P\) be \(E_p\) and that at \(O\) be \(E_O.\)
Then, \(E_O:E_P=\)
| 1. | \(\dfrac{2}{9}\) | 2. | \(\dfrac{4}{9}\) |
| 3. | \(\dfrac{9}{2}\) | 4. | \(\dfrac{9}{4}\) |
Subtopic: Electric Field |
Level 3: 35%-60%
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Equal and opposite charges are placed at the two vertices of an equilateral triangle, giving a dipole moment \(p.\) A small dipole \(p'\) is placed at the third vertex, parallel to the previous dipole. If the electric fields due to both dipoles \(p,~p',\) at the mid-point of the dipole \(p,\) are equal, then \(\dfrac{p'}{p}\) equals:
| 1. | \(3\sqrt3\) | 2. | \(\dfrac{3\sqrt3}{2}\) |
| 3. | \(\sqrt3\) | 4. | \(\dfrac{\sqrt3}{2}\) |
Subtopic: Electric Dipole |
Level 3: 35%-60%
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Given below are four statements:
| (a) | The total charge of the universe is constant. |
| (b) | The total positive charge of the universe is constant. |
| (c) | The total negative charge of the universe is constant. |
| (d) | The total number of charged particles in the universe is constant. |
Choose the correct option:
| 1. | (a) only | 2. | (b), (c) |
| 3. | (c), (d) | 4. | (a), (d) |
Subtopic: Electric Charge |
65%
Level 2: 60%+
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An electric dipole is placed in a uniform electric field. The net electric force on the dipole:
| 1. | is always zero. |
| 2. | depends on the orientation of the dipole. |
| 3. | can never be zero. |
| 4. | depends on the strength of the dipole. |
Subtopic: Electric Dipole |
72%
Level 2: 60%+
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If a body is charged by rubbing it, its weight:
| 1. | remains precisely constant. |
| 2. | increases slightly. |
| 3. | decreases slightly. |
| 4. | may increase slightly or may decrease slightly. |
Subtopic: Electric Charge |
64%
Level 2: 60%+
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The figure shows some of the electric field lines corresponding to an electric field. The figure suggests that:
1. \(E_A>E_B>E_C\)
2. \(E_A=E_B=E_C\)
3. \(E_A=E_C>E_B\)
4. \(E_A=E_C<E_B\)
Subtopic: Electric Field |
77%
Level 2: 60%+
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Four charges \(q,q\) and \(-q,-q\) are placed at the four vertices of a square of side \(a,\) with like charges across a diagonal. The electric field at the centre of the square is:
\(\left(k=\dfrac{1}{4\pi\varepsilon_0}\right)\)
1. zero
2. \(\sqrt2\dfrac{kq}{a^2}\)
3. \(2\dfrac{kq}{a^2}\)
4. \(4\dfrac{kq}{a^2}\)
\(\left(k=\dfrac{1}{4\pi\varepsilon_0}\right)\)
1. zero
2. \(\sqrt2\dfrac{kq}{a^2}\)
3. \(2\dfrac{kq}{a^2}\)
4. \(4\dfrac{kq}{a^2}\)
Subtopic: Electric Field |
80%
Level 1: 80%+
Hints
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 |
71%
Level 2: 60%+
NEET - 2022
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