State whether the following statement is true or false.

The torque on an electric dipole placed in a uniform electric field is τ=P×E.

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept:
The force measure which causes an object to rotate about an axis is called the torque. Torque is a quantity of vectors, and its direction depends on the axis direction of force. The magnitude of the torque vector can be written as

τ = Frsinθ

where F denotes the force, r denotes the length (or radius) of the moment arm and θ denotes the angle between the moment arm and the force.
A pair of electric charges with an equal magnitude but opposite charges separated by a distance is known as an electric dipole. The electric dipole moment is defined as the product of the magnitude of either charge and the distance between these charges. The electric dipole moment is a vector quantity having a defined direction from the negative charge to the positive charge.
Hence, the given statement is true.

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