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Q. No.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:
(\(y<<a\))
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 |
60%
Level 2: 60%+
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Two positive charges, each of charge \(q,\) are placed at coordinates \((a,0)\) and \((-a,0).\) A negative charge \(q\) is released from the position \((0,a).\) What is the expression for the electrostatic force acting on the negative charge at this point?
| 1. | \( \dfrac{q^{2}}{2 \pi \varepsilon_{0} a^{2}}\) | 2. | \( \dfrac{q^{2}}{4 \pi \varepsilon_{0} a^{2}}\) |
| 3. | \(\dfrac{q^{2}}{4 \sqrt{2} \pi \varepsilon_{0} a^{2}}\) | 4. | \( \dfrac{q^{2}}{\pi \varepsilon_{0} a}\) |
Subtopic: Coulomb's Law |
60%
Level 2: 60%+
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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 |
75%
Level 2: 60%+
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If \(\vec E=\dfrac{E_0x}{a}(\widehat i),\) then electric flux through the cube of side \(a,\) as shown in the figure, will be:
(where \(x\) is in metre)
1. zero
2. \(E_0a^2\)
3. \(E_0a^3\)
4. \(E_0a\)
(where \(x\) is in metre)
1. zero
2. \(E_0a^2\)
3. \(E_0a^3\)
4. \(E_0a\)
Subtopic: Gauss's Law |
Level 3: 35%-60%
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A uniform electric field, \(\vec E=(a\widehat i+b\widehat j),\) intersects a surface of area \(A.\) What is the electric flux through this area if the surface lies in \(x\text-z\) plane?
| 1. | zero | 2. | \(aA\) |
| 3. | \(bA\) | 4. | \(A\sqrt{a^2+b^2}\) |
Subtopic: Gauss's Law |
59%
Level 3: 35%-60%
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When a soap bubble is given a negative charge, its radius:
1. increases
2. decreases
3. remains unchanged
4. nothing can be predicted
1. increases
2. decreases
3. remains unchanged
4. nothing can be predicted
Subtopic: Electric Field |
80%
Level 1: 80%+
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In an experiment, two bodies are rubbed against each other, resulting in each body acquiring a charge of \(1~\text{C}.\) How many electrons are transferred from one body to the other during the rubbing process?
| 1. | \(6.25\times10^{20}\) | 2. | \(1.6\times10^{19}\) |
| 3. | \(6.25\times10^{18}\) | 4. | \(1.6\times10^{-19}\) |
Subtopic: Electric Charge |
78%
Level 2: 60%+
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Which of the following is not the property of electric charge?
| 1. | Charge on any body is quantised. |
| 2. | Charge on any isolated system remains conserved. |
| 3. | Unlike mass, the charge is non-relativistic. |
| 4. | Unlike charged bodies always repel each other. |
Subtopic: Electric Charge |
84%
Level 1: 80%+
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Given below are two statements:
| Assertion (A): | Point charges \(q_{1}\) and \(q_{2}\) produce electric field of magnitude \(E_{1}\) and \(E_{2}\) at a point and potential \(V_{1}\) and \(V_{2}\) at the same point. The electric field due to both the charges at that point must be \(E_{1}+E_{2}.\) |
| Reason (R): | The electric potential at that point due to both the charges must be \(V_{1}+V_{2}.\) |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Electric Field |
60%
Level 2: 60%+
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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 |
71%
Level 2: 60%+
NEET - 2022
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