A) \[\frac{q}{{{d}^{2}}}\]
B) \[\frac{qr}{{{d}^{2}}}\]
C) \[\frac{q}{{{d}^{3}}}\]
D) \[\frac{qr}{{{d}^{3}}}\]
Correct Answer: D
Solution :
Field along the axis of the dipole \[E=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{2p}{{{d}^{3}}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{2(q\times r)}{{{d}^{3}}};\] \ \[E\propto \frac{qr}{{{d}^{3}}}\]
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