Physics · JEE | Electric Charges and Fields

Consider the following statements regarding an electric dipole: (I) The total charge of an electric dipole is zero, but its electric field is not zero. (II) At large distances, the electric field of a dipole falls off as \( 1/r^3 \). (III) The dipole moment vector \( \mathbf{p} \) is directed from the positive charge to the negative charge. (IV) The torque on a dipole in a uniform electric field is given by \( \boldsymbol{\tau} = \mathbf{p} \times \mathbf{E} \). How many of the above statements are correct?

1. A
   Only two
2. B
   Only three
3. C
   All four
4. D
   Only one