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%
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A particle of mass m and charge q is placed at rest in a uniform electric field E and then released. The kinetic energy attained by the particle after moving a distance y is -

(1) qEy2

(2) qE2y

(3) qEy

(4) q2Ey

Subtopic:  Electric Potential |
 83%
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How much kinetic energy will be gained by an α– particle in going from a point at 70 V to another point at 50 V ?

(1) 40eV

(2) 40keV

(3) 40MeV

(4) 0eV

Subtopic:  Electric Potential |
 77%
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If a charged spherical conductor of radius 10 cm has potential V at a point distant 5 cm from its centre, then the potential at a point distant 15 cm from the centre will be -

(1) 13V

(2) 23V

(3) 32V

(4) 3 V

Subtopic:  Electric Potential |
 65%
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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%
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An oil drop having charge 2e is kept stationary between two parallel horizontal plates 2.0 cm apart when a potential difference of 12000 volts is applied between them. If the density of oil is 900 kg/m3, the radius of the drop will be -

(1) 2.0×106m

(2) 1.7×106m

(3) 1.4×106m

(4) 1.1×106m

Subtopic:  Electric Potential |
 63%
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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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