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Electric Charges and Fields · Question 27

AIPMT 2007MCQMedium📈 Topic in 12% papers+4−1
1

Three point charges +q, -2q and + q are placed at points (x = 0, y = a, z = 0), (x = 0, y = 0, z = 0) and (x = a, y = 0, z = 0) respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are

  1. 2qa along the line joining points (x = 0, y = 0, z = 0) and (x = a, y = a, z = 0)
  2. qa along the line joining points (x = 0, y = 0, z = 0) and (x = a, y = a, z = 0)
  3. 2qa along +x direction
  4. 2qa along +y direction

Answer

(1) 2qa along the line joining points (x = 0, y = 0, z = 0) and (x = a, y = a, z = 0)

Solution

The -2q charge at the origin can be split into two charges -q and -q, giving two dipoles:

(i) -q at origin and +q at (0, a, 0): p1 = qa j

(ii) -q at origin and +q at (a, 0, 0): p2 = qa i

p = qa( i + j)

| p| = 2 qa, directed at 45 to the x-axis, i.e., along the line from (0, 0, 0) to (a, a, 0).

Answer: (1)

AIPMT 2007

Keep practising — Electric Charges and Fields

2

A square surface of side L metres is in the plane of the paper. A uniform electric field E (volt/m), also in the plane of the paper is limited only to the lower half of the square surface (see figure). The electric flux in SI units associated with the surface is [figure]

  1. EL2
  2. EL2/2 0
  3. EL2/2
  4. zero
AIPMT 2006
3

The unit of permittivity of free space, 0, is

  1. coulomb/newton-metre
  2. newton-metre2/coulomb2
  3. coulomb2/newton-metre2
  4. coulomb2/(newton-metre)2
AIPMT 2004
4

A charge q is located at the centre of a cube. The electric flux through any face is

  1. 2 q6(4 0)
  2. 4 q6(4 0)
  3. q6(4 0)
  4. q6(4 0)
AIPMT 2003
5

An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius r. The Coulomb force F between the two is

  1. K e2r2 r
  2. -K e2r3 r
  3. K e2r3 r
  4. -K e2r2 r
AIPMT 2003
6

A dipole of dipole moment p is placed in uniform electric field E then torque acting on it is given by

  1. = p E
  2. = p E
  3. = p + E
  4. = p - E
AIPMT 2001
7

A charge Q is placed at the centre of a cube, the flux coming out from each face will be

  1. Q6 0 10-6
  2. Q6 0 10-3
  3. Q24 0
  4. Q8 0
AIPMT 2001
8

A charge Q is situated at the corner of a cube, the electric flux passed through all the six faces of the cube is

  1. Q6 0
  2. Q8 0
  3. Q 0
  4. Q2 0
AIPMT 2000
9

Electric field at centre O of semicircle of radius a having linear charge density is given as [figure]

  1. 2 0 a
  2. 0 a
  3. 2 0 a
  4. 0 a
AIPMT 2000

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