An elementary particle of mass m and charge e is projected with velocity v at a much more massive particle of charge Ze, where . What is the closest possible approach of the incident particle ?

(1) 

(2) 

(3) 

(4) 

Subtopic:  Electric Potential Energy |
 57%
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Four equal charges Q are placed at the four corners of a square of each side is ‘a’. Work done in removing a charge – Q from its centre to infinity is 

(1) 0

(2) 2Q24πε0a

(3) 2Q2πε0a

(4) Q22πε0a

Subtopic:  Electric Potential Energy |
 52%
From NCERT
AIIMS - 1995
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An electron of mass m and charge e is accelerated from rest through a potential difference V in vacuum. The final speed of the electron will be 

(1) Ve/m

(2) eV/m

(3) 2eV/m

(4) 2eV/m

Subtopic:  Electric Potential Energy |
 84%
From NCERT
PMT - 2000
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Two equal charges q are placed at a distance of 2a and a third charge –2q is placed at the midpoint. The potential energy of the system is -

(1) q28πε0a

(2) 6q28πε0a

(3) 7q28πε0a

(4) 9q28πε0a

Subtopic:  Electric Potential Energy |
 69%
From NCERT
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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%
From NCERT
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The displacement of a charge Q in the electric field E=e1i^+e2j^+e3k^ is r^=ai^+bj^. The work done is 

(1) Q(ae1+be2)

(2) Q(ae1)2+(be2)2

(3) Q(e1+e2)a2+b2

(4) Q(e12+e22)(a+b)

Subtopic:  Electric Potential Energy |
 60%
From NCERT
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Three charges Q, +q and +q are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if Q is equal to

(1) q1+2

(2) 2q2+2

(3) –2q

(4) +q

Subtopic:  Electric Potential Energy |
 70%
From NCERT
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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 |
 72%
From NCERT
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Kinetic energy of an electron accelerated in a potential difference of 100 V is 

(1) 1.6 × 10–17 J

(2) 1.6 × 1021 J

(3) 1.6 × 10–29 J

(4) 1.6 × 10–34 J

Subtopic:  Electric Potential Energy |
 88%
From NCERT
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If identical charges (–q) are placed at each corner of a cube of side b, then electric potential energy of charge (+q) which is placed at centre of the cube will be -

(1) 82q24πε0b

(2) 82q2πε0b

(3) 42q2πε0b

(4) 4q23πε0b

Subtopic:  Electric Potential Energy |
 59%
From NCERT
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