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 |
 71%
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How much kinetic energy will be gained by an \(\alpha\text-\text{particle}\) in going from a point at \(70~\text{V}\) to another point at \(50~\text{V}\)?

1. \(40~\text{eV}\) 2. \(40~\text{keV}\)
3. \(40~\text{MeV}\) 4. 0

Subtopic:  Electric Potential |
 79%
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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 |
 58%
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Equipotential surfaces associated with an electric field which is increasing in magnitude along the x-direction are 

(1) Planes parallel to yz-plane

(2) Planes parallel to xy-plane

(3) Planes parallel to xz-plane

(4) Coaxial cylinders of increasing radii around the x-axis

Subtopic:  Equipotential Surfaces |
 76%
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A parallel plate condenser has a capacitance \(50~\mu\text{F}\) in air and \(110~\mu\text{F}\) when immersed in an oil. The dielectric constant \(k\) of the oil is: 
1. \(0.45\)
2. \(0.55\)
3. \(1.10\)
4. \(2.20\)

Subtopic:  Dielectrics in Capacitors |
 79%
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Separation between the plates of a parallel plate capacitor is d and the area of each plate is A. When a slab of material of dielectric constant k and thickness t(t < d) is introduced between the plates, its capacitance becomes -

(1) ε0Ad+t11k

(2) ε0Ad+t1+1k

(3) ε0Ad-t11k

(4) ε0Ad-t1+1k

Subtopic:  Dielectrics in Capacitors |
 68%
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The capacity and the energy stored in a parallel plate condenser with air between its plates are respectively CO and WO. If the air is replaced by glass (dielectric constant = 5) between the plates, the capacity of the plates and the energy stored in it will respectively be -

(1) 5Co,5Wo

(2) Co,W05

(3) 5Co,Wo5

(4) Co5,Wo5

Subtopic:  Dielectrics in Capacitors |
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A 6 μF capacitor is charged from 10 volts to 20 volts. Increase in energy will be 

(1) 18 × 10–4 J

(2) 9 × 10–4 J

(3) 4.5 × 10–4 J

(4) 9 × 10–6 J

Subtopic:  Energy stored in Capacitor |
 82%
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Three capacitors are connected to D.C. source of 100 volts shown in the adjoining figure. If the charge accumulated on plates of C1, C2 and C3 are qa,qb,qc,qd.qe and qf respectively, then 

(1) qb+qd+qf=1009C

(2) qb+qd+qf=0

(3) qa+qc+qe=50C

(4) qb=qd=qf

Subtopic:  Combination of Capacitors |
 66%
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Five capacitors of 10 μF capacity each are connected to a d.c. potential of 100 volts as shown in the adjoining figure. The equivalent capacitance between the points A and B will be equal to 

(1) 40 μF

(2) 20 μF

(3) 30 μF

(4) 10 μF

Subtopic:  Combination of Capacitors |
 91%
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