What is the potential energy of two equal positive point charges of \(1~ \mu \text{C}\) each held \(1\) m apart in the air?
1. \(9 \times 10^{-3}~\text{J}\) 2. \(9 \times 10^{-3}~\text{eV}\)
3. \(2~\text{eV/m}\) 4. zero
Subtopic:  Electric Potential Energy |
 77%
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Three charges \(Q\)\(+q \) and \(+q \) are placed at the vertices of an equilateral triangle of side \(l\) as shown in the figure. If the net electrostatic energy of the system is zero, then \(Q\) is equal to:

1. \(-\frac{q}{2} \) 2. \(-q\)
3. \(+q\) 4. \(\text{zero}\)
Subtopic:  Electric Potential Energy |
 73%
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Two charges \(q_1\) and \(q_2\) are placed \(30~\text{cm}\) apart, as shown in the figure. A third charge \(q_3\) is moved along the arc of a circle of radius \(40~\text{cm}\) from \(C\) to \(D.\) The change in the potential energy of the system is \(\dfrac{q_{3}}{4 \pi \varepsilon_{0}} k,\) where \(k\) is:

1. \(8q_2\) 2. \(8q_1\)
3 \(6q_2\) 4. \(6q_1\)
Subtopic:  Electric Potential Energy |
 66%
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If \(50~\text{J}\) of work must be done to move an electric charge of \(2~\text{C}\) from a point where the potential is \(-10\) volts to another point where the potential is \(\mathrm{V}\) volts, then the value of \(\mathrm{V}\) is:
1. \(5\) volts
2. \(-15\) volts
3. \(+15\) volts
4. \(+10\) volts

Subtopic:  Electric Potential |
 84%
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Three charges, each \(+q\), are placed at the corners of an equilateral triangle \(ABC\) of sides \(BC\), \(AC\), and \(AB\). \(D\) and \(E\) are the mid-points of \(BC\) and \(CA\). The work done in taking a charge \(Q\) from \(D\) to \(E\) is:

        

1. \(\frac{3qQ}{4\pi \varepsilon_0 a}\) 2. \(\frac{3qQ}{8\pi \varepsilon_0 a}\)
3. \(\frac{qQ}{4\pi \varepsilon_0 a}\) 4. \(\text{zero}\)
Subtopic:  Electric Potential |
 83%
From NCERT
AIPMT - 2011
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A bullet of mass \(2\) g is having a charge of \(2\) µC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of \(10\) m/s?
1. \(50\) kV
2. \(5\) V
3. \(50\) V
4. \(5\) kV

Subtopic:  Electric Potential |
 76%
From NCERT
AIPMT - 2004
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Ten electrons are equally spaced and fixed around a circle of radius \(R\). Relative to \(V=0\) at infinity, the electrostatic potential \(V\) and the electric field \(E\) at the centre \(C\) are:
1.  \(V \neq 0 \text { and } \vec{E} \neq 0\)
2. \(V \neq 0 \text { and } \vec{E}=0\)
3. \(V=0 \text { and } \vec{E}=0\)
4. \(V=0 \text { and } \vec{E} \neq 0\)
Subtopic:  Electric Potential |
 78%
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Four electric charges \(+ q,\) \(+ q,\) \(- q\) and \(- q\) are placed at the corners of a square of side \(2L\) (see figure). The electric potential at point \(A\), mid-way between the two charges \(+ q\) and \(+ q\) is:
              
1. \(\frac{1}{4 \pi\varepsilon_{0}} \frac{2 q}{L} \left(1 + \frac{1}{\sqrt{5}}\right)\)
2. \(\frac{1}{4 \pi\varepsilon_{0}} \frac{2 q}{L} \left(1 - \frac{1}{\sqrt{5}}\right)\)
3. zero
4. \(\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q}{L} \left(1 + \sqrt{5}\right)\)

Subtopic:  Electric Potential |
 73%
From NCERT
AIPMT - 2011
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Eight equally charged tiny drops are combined to form a big drop. If the potential on each drop is \(10\) V, then the potential of the big drop will be:
1. \(40\) V 2. \(10\) V
3. \(30\) V 4. \(20\) V
Subtopic:  Electric Potential |
 74%
From NCERT
AIPMT - 1999
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The increasing order of the electrostatic potential energies for the given system of charges is given by:

       

1. \(\mathrm{a = d < b < c}\) 2. \(\mathrm{b = d < c < a}\)
3. \(\mathrm{b = c < a < d}\) 4. \(\mathrm{c < a < b < d}\)
Subtopic:  Electric Potential |
 78%
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