A parallel plate capacitor is charged to a certain potential difference. A slab of thickness 3 mm is inserted between the plates and it becomes necessary to increase the distance between the plates by 2.4 mm to maintain the same potential difference. The dielectric constant of the slab is– 

1.  3                   

2.  5 

3.  2.5               

4.  2

Subtopic:  Dielectrics in Capacitors |
 60%
From NCERT
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A charge Q is distributed over two concentric hollow spheres of radii r and R R > r such that the surface densities are equal. The potential at the common centre is 14πε0 times –

1.  Q r+Rr2+R2                       

2.  Q2 r+Rr2+R2

3.  2Q r+Rr2+R2                     

4.  Zero

Subtopic:  Electric Potential |
 55%
From NCERT
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A charge +Q is uniformly distributed over a thin ring of radius R, velocity of an electron at the moment it passes through the centre O of the ring, if the electron was initially at rest at a point A which is very far away from the centre and on the axis of the ring is

1. 2kQemR                     

2. kQem

3. kmeQR                       

4. kQemR

Subtopic:  Electric Potential |
 81%
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The electric potential V as a function of distance x (in metre) is given by: V=5x2+10x-9 V. The value of the electric field of x = 1m would be -

1.  20 V/m                 

2.  6 V/m

3.  11 V/m                 

4.  -23 V/m

Subtopic:  Relation between Field & Potential |
 87%
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In a region, the electric field intensity E is given by E = 100/ x2 where x is in metre. The potential difference between the points at x = 10 m and x = 20 m will be :

1.  1V                       

2.  2V 

3.  5 V                     

4.  10 V

Subtopic:  Relation between Field & Potential |
 75%
From NCERT
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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%
From NCERT
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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 |
From NCERT
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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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