Two charges placed in the air at a distance of \(1\) m exert force \(F\) on each other. If these charges are placed inside mica at the same distance, then the new net force between charges is:

1. \(>F\)
2. \(<F\)
3. \(=F\)
4. depends on the area of the slab
Subtopic:  Electric Field |
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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: \(\Big(k=\dfrac{1}{4\pi\varepsilon_0}\Big)~\)
1. zero 2. \(4\dfrac{kq}{a^2}\)
3. \(2\dfrac{kq}{a^2}\) 4. \(2\sqrt2\dfrac{kq}{a^2}\)
 
Subtopic:  Electric Field |
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A proton and an electron are placed in an electric field. Then we can say:
1. the electric force acting on them are equal.
2. the magnitude of the forces is equal.
3. their acceleration is equal.
4. the magnitude of their acceleration is equal.
Subtopic:  Electric Field |
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A spherical conductor of radius \(12~\text{cm}\) has a charge of \(1.6\times10^{-7}~\text{C}\) distributed uniformly on its surface. The electric field just outside the sphere is:

1. \(\text{zero}\) 2. \(10^5~ \text{NC}^{-1} \)
3. \(10^{-5}~ \text{NC}^{-1} \) 4. \(10^{6 }~ \text{NC}^{-1} \)
Subtopic:  Electric Field |
 65%
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Two point charges \(q_A = 3~\mu\text{C}\) and \(q_B = -3~\mu\text{C}\) are located \(20\) cm apart in a vacuum. The electric field at the midpoint \(O\) of the line \(AB\) joining the two charges is:
1. \(4.5\times10^{6}~\text{N/C along}~OA\)
2. \(5.4\times10^{6}~\text{N/C along}~OA\)
3. \(4.5\times10^{6}~\text{N/C along}~OB\)
4. \(5.4\times10^{6}~\text{N/C along}~OB\)

Subtopic:  Electric Field |
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A particle of mass \(m\) and charge \(q\) is placed in a uniform electric field \(E\) at \(t=0~\text s.\) The kinetic energy of the particle after time \(t\) is:
1. \(\dfrac{Eqm}{t}\)
2. \(\dfrac{E^2q^2t^2}{2m}\)
3. \(\dfrac{2E^2t^2}{qm}\)
4. \(\dfrac{Eq^2m}{2t^2}\)
Subtopic:  Electric Field |
 82%
From NCERT
NEET - 2024
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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 |
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A point charge is brought in an electric field. The electric field at a nearby point,

(a) will increase if the charge is positive
(b) will decrease if the charge is negative
(c) may increase if the charge is positive
(d) may decrease if the charge is negative
Choose the correct option:
1. (a) only  2. (b), (c) 
3. (c), (d)  4. (a), (d) 
Subtopic:  Electric Field |
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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:
(\(\varepsilon_0 \)-permittivity of free space)

1. \(\frac{13q}{4\pi \varepsilon_0r^2}\) 2. zero
3. \(\frac{q}{4\pi \varepsilon_0r^2}\) 4. \(\frac{12q}{4\pi \varepsilon_0r^2}\)
Subtopic:  Electric Field |
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NEET - 2022
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\(ABC\) is an equilateral triangle. Charges \(+q\)  are placed at each corner. The electric intensity at \(O\) will be: 

       

1. \(\dfrac{1}{4\pi\epsilon _0}\dfrac{q}{r^{2}}\) 2. \(\dfrac{1}{4\pi\epsilon _0}\dfrac{q}{r^{}}\)
3. zero 4. \(\dfrac{1}{4\pi\epsilon _0}\dfrac{3q}{r^{2}}\)
Subtopic:  Electric Field |
 87%
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PMT - 1985
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