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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%
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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:
(\(y<<a\))
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%
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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%
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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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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%
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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 |
 65%
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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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When a soap bubble is given a negative charge, its radius:
1. increases
2. decreases
3. remains unchanged
4. nothing can be predicted
Subtopic:  Electric Field |
 80%
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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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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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