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NEET 2007
Exam
NEET
Year
2007
Subject
Physics
Chapter
Electrostatics

NEET 2007 · Physics · Electrostatics

Three point charges +q,-2 q are placed at points (x=0, y=a,...

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

Options

  1. A2qa\sqrt{2} q a along the line joining points (x=0,y=0,z=0)(x=0, y=0, z=0) and (x=a,y=a(x=a, y=a, z=0)z=0)
  2. Bqaq a along the line joining points (x=0(x=0, y=0,z=0)y=0, z=0) and (x=a,y=a,z=0)(x=a, y=a, z=0)
  3. C2qa\sqrt{2} q a along +x+x direction
  4. D2qa\sqrt{2} q a along +y+y direction

Correct answer

A. 2qa\sqrt{2} q a along the line joining points (x=0,y=0,z=0)(x=0, y=0, z=0) and (x=a,y=a(x=a, y=a, z=0)z=0)

Step-by-step solution

This consists of two dipoles, −qand+q-q and +q with dipole moment along with the +y+y direction and −qand+q-q and +q along the X-direction Three point charges +q,-2 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
∴\therefore The resultant moment =q2a2+q2a2=2qa\begin{aligned} & =\sqrt{q^2 a^2+q^2 a^2} \\ & =\sqrt{2} q a \end{aligned} Along the direction 45∘45^{\circ} that is along OP where P\mathrm{P} is (+a,a,0)(+a, a, 0)
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