The ratio of momenta of an electron and an α-particle which are accelerated from rest by a potential difference of 100 volt is 

(1) 1

(2) 2memα

(3) memα

(4) me2mα

Subtopic:  Electric Potential |
 63%
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When a proton is accelerated through 1V, then its kinetic energy will be -

(1) 1840 eV

(2) 13.6 eV

(3) 1 eV

(4) 0.54 eV

Subtopic:  Electric Potential |
 76%
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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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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%
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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%
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A cube of a metal is given a positive charge \(Q\). For the above system, which of the following statements is true?
1. Electric potential at the surface of the cube is zero.
2. Electric potential within the cube is zero.
3. Electric field is normal to the surface of the cube.
4. Electric field varies within the cube.
Subtopic:  Equipotential Surfaces |
 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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Electric potential at any point is V=5x+3y+15z, then the magnitude of the electric field is

(1) 32

(2) 42

(3) 52

(4) 7

Subtopic:  Relation between Field & Potential |
 74%
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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%
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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%
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