Torque acting on electric dipole moment \(\overrightarrow{P}\) placed in uniform electric field \(\overrightarrow{E}\) is 

Explanation:

An electric dipole in a uniform electric field experiences a torque that tends to align the dipole with the electric field. The torque ( $\overrightarrow{\tau}$ ) acting on an electric dipole moment ( $\overrightarrow{P}$ ) placed in a uniform electric field ( $\overrightarrow{E}$ ) is given by the vector cross product of the dipole moment and the electric field.

The formula for the torque is:

$\overrightarrow{\tau} = \overrightarrow{P} \times \overrightarrow{E}$

The cross product of two vectors results in a vector that is perpendicular to both, and its magnitude is given by the product of the magnitudes of the two vectors and the sine of the angle between them.

Therefore, the correct answer is option 1: $\overrightarrow{P} \times \overrightarrow{E}$ .

∴ The torque acting on the electric dipole is $\overrightarrow{P} \times \overrightarrow{E}$ .