An uncharged capacitor with a solid dielectric is connected to a similar air capacitor charged to a potential of V0. If the common potential after sharing of charges becomes V, then the dielectric constant of the dielectric must be –

1. V0V                               

2. VV0

3. V0-VV                         

4. V0-VV0

Subtopic:  Dielectrics in Capacitors |
 68%
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Two parallel conducting plates 5mm apart are held horizontally one above the other. The upper plate is maintained at a positive potential of 15 kV while the lower plate is earthed. If a small oil drop of relative density 0.92 and of radius 5 µm remains stationary between the plates, then the charge on the drop will be.

1.  10e                     

2.  8e 

3.  5e                       

4.  3e

Subtopic:  Capacitance |
From NCERT
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An infinite number of charges (each of magnitude 1 µc) are placed along the X-axis at x = 1, 2, 4, 8....metre. If the charges are alternately of opposite sign, then the potential at the point x = 0 due to these charges will be.

1.  6×103 V                       

2.  9×103 V

3.  1.8×104 V                   

4.  1.2×104 V

Subtopic:  Electric Potential |
 50%
From NCERT
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Figure shows a ball having a charge \(q\) fixed at a point A. Two identical balls having charges \(+q\) and \(–q\) and mass \(‘m’\) each are attached to the ends of a light rod of length \(2 a\)\(2a\). The rod is free to rotate about a fixed axis perpendicular to the plane of the paper and passing through the mid-point of the rod. The system is released from the situation as shown in the figure. The angular velocity of the rod when the rod becomes horizontal will be:

         

1. \(\frac{\sqrt{2} \mathrm{q}}{3 \pi \epsilon_0 \mathrm{ma}^3} \) 2. \(\frac{\mathrm{q}}{\sqrt{3 \pi \epsilon_0 \mathrm{ma}^3 }}\)
3. \(\frac{\mathrm{q}}{\sqrt{6 \pi \epsilon_0 \mathrm{ma}^3 }} \) 4. \(\frac{\sqrt{2} q}{4 \pi \epsilon_0 m a^3} \)
Subtopic:  Electric Potential Energy |
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A proton and an α-particle are at a distance r from each other. After letting them free if they move to infinity, the kinetic energy of the proton will be -

1.  8Ke2/5r                           

2.  2Ke2/5r

3.  8Ke2/r                             

4.  Ke2/5r

Subtopic:  Electric Potential Energy |
From NCERT
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103 small water drops, each of radius r and each carrying charge q, combine to form one bigger drop. The potential of a bigger drop as compared to that of a smaller drop will be.

1.  105 V                     

2.  103 V

3.  10 V                       

4.  102 V

Subtopic:  Electric Potential |
 71%
From NCERT
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The plates of a parallel plate capacitor have an area of 90 cm2 each and are separated by 2.5 mm. The capacitor is charged by a 400 volt supply. How much electrostatic energy is stored by the capacitor?

1.  2.55×10-6 J                         

2.  1.55×10-6 J

3.  8.15×10-6 J                         

4.  5.5×10-6 J

Subtopic:  Energy stored in Capacitor |
 71%
From NCERT
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An alpha particle with kinetic energy 10 MeV is heading towards a stationary nucleus of atomic number 50. Calculate the distance of closest approach.

1.  1.4×10-15 m                         

2.  4×10-15 m

3.  14.4×10-15 m                       

4.  8×10-15 m

Subtopic:  Electric Potential Energy |
 63%
From NCERT
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Calculate the area of the plates of a one farad parallel plate capacitor if the separation between plates is 1 mm and plates are in a vacuum.

1.  18×108 m2                 

2.  0.3×108 m2

3.  1.3×108 m2               

4.  1.13×108 m2

Subtopic:  Capacitance |
 68%
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A solid conducting sphere of radius a having a charge q is surrounded by a concentric conducting spherical shell of inner radius 2a and outer radius 3a as shown in figure.

                      

Find the amount of heat produced when switch is closed.

1. Kq2/2a                         

2. Kq2/3a

3. Kq2/4a                         

4. Kq2/6a

Subtopic:  Combination of Capacitors |
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