A hollow conducting sphere of radius \(1~\text{m}\) is given a positive charge of \(10~\mu\text{C}\). The electric field at the centre of the hollow sphere will be:
1. \(60\times10^{3}~\text{Vm}^{-1}\)
2. \(90\times10^{3}~\text{Vm}^{-1}\)
3. zero
4. infinite

Subtopic:  Gauss's Law |
 92%
From NCERT
AIPMT - 1998
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A charge \(q\) is placed in a uniform electric field \(E.\) If it is released, then the kinetic energy of the charge after travelling distance \(y\) will be:
1. \(qEy\)
2. \(2qEy\)
3. qEy2
4. qEy

Subtopic:  Electric Field |
 76%
From NCERT
AIPMT - 1998
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The electric field at the equator of a dipole is \(E.\) If the strength of the dipole and distance are now doubled, then the electric field will be:

1. \(E/2\) 2. \(E/8\)
3. \(E/4\) 4. \(E\)
Subtopic:  Electric Dipole |
 67%
From NCERT
AIPMT - 1998
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A point \(Q\) lies on the perpendicular bisector of an electric dipole of dipole moment \(p.\) If the distance of \(Q\) from the dipole is \(r\) (much larger than the size of the dipole), then the electric field at \(Q\) is proportional to:
1. \(p^{2}\) and \(r^{-3}\)
2. \(p\) and \(r^{-2}\)
3. \(p^{-1}\) and \(r^{-2}\)
4. \(p\) and \(r^{-3}\)

Subtopic:  Electric Dipole |
 86%
From NCERT
AIPMT - 1998
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In Millikan oil drop experiment, a charged drop falls with a terminal velocity v. If an electric field E is applied vertically upwards it moves with terminal velocity 2v in upward direction. If electric field reduces to E/2 then its terminal velocity will be:
1. v/2
2. v
3. 3v/2
4. 2v

Subtopic:  Electric Field |
From NCERT
AIPMT - 1999
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The electric field at centre \(O\) of a semicircle of radius \(a\) having linear charge density \(\lambda\) is given by:

     
1. \(\frac{2\lambda}{\epsilon_0 a}\)
2. \(\frac{\lambda\pi}{\epsilon_0 a}\)
3. \(\frac{\lambda}{2\pi \epsilon_0 a}\)
4. \(\frac{\lambda}{\pi \epsilon_0 a}\)
 

Subtopic:  Electric Field |
 81%
From NCERT
AIPMT - 2000
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If a charge \(Q\) is situated at the corner of a cube, the electric flux passing through all six faces of the cube is:
1. \(\frac{Q}{6\varepsilon_0}\)
2. \(\frac{Q}{8\varepsilon_0}\)
3. \(\frac{Q}{\varepsilon_0}\)
4. \(\frac{Q}{2\varepsilon_0}\)

Subtopic:  Gauss's Law |
 66%
From NCERT
AIPMT - 2000
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Who evaluated the mass of electron indirectly with help of charge:
1. Thomson
2. Millikan
3. Rutherford
4. Newton

Subtopic:  Electric Charge |
 75%
From NCERT
AIPMT - 2000
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If a charge Q µC is placed at the centre of the cube, the flux (In SI unit) coming out from any surface will be: 

1.  Q6ε0 × 10-6

2.  Q6ε0 × 10-3

3.  Q2ε0 

4. Q8ε0 

Subtopic:  Gauss's Law |
 85%
From NCERT
AIPMT - 2001
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A dipole of moment p is placed in uniform electric field E. The torque acting on it is given by:
1. \(\vec{\tau }=\vec{p}.\vec{E}\)
2. \(\vec{\tau }=\vec{p} \times\vec{E}\)
3. \(\vec{\tau }=\vec{p}+\vec{E}\)
4. \(\vec{\tau }=\vec{p}-\vec{E}\)

Subtopic:  Electric Dipole |
 90%
From NCERT
AIPMT - 2001
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