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%
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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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%
From NCERT
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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%
From NCERT
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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 |
 77%
From NCERT
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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 |
 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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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%
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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