Assertion-Reason type. Each of these contains two Statements...

Assertion-Reason type. Each of these contains two Statements : Statement I (Assertion), Statement II (Reason). Each of these questions also has four alternative choice, only one of which is correct. You have to select the correct choices from the codes (a), (b), (c) and (d) given below (a) If both Assertion and Reason are true and the Reason is correct explanation of the Assertion (b) If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion (c) If Assertion is true but Reason is false (d) If Assertion is false but the Reason is true Assertion An electric dipole is placed in a uniform electric field. Its equilibrium will be stable when dipole is set along the direction of electric field. Reason In stable equilibrium energy of dipole should be least possible.

Assertion-Reason type. Each of these contains two Statements : Statement I (Assertion), Statement II (Reason). Each of these questions also has four alternative choice, only one of which is correct. You have to select the correct choices from the codes (a), (b), (c) and (d) given below
(a) If both Assertion and Reason are true and the Reason is correct explanation of the Assertion
(b) If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
(c) If Assertion is true but Reason is false
(d) If Assertion is false but the Reason is true
Assertion An electric dipole is placed in a uniform electric field. Its equilibrium will be stable when dipole is set along the direction of electric field. Reason In stable equilibrium energy of dipole should be least possible.

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Key Concepts

Potential Energy in an Electric Field

The potential energy of an electric dipole in an electric field is given by the dot product between the dipole moment and the electric field, usually expressed as U = -p.E. This relation shows that the energy is minimized when the dipole moment is aligned with the electric field, a concept that underpins the analysis of stability in such systems.

Stable Equilibrium

Stable equilibrium refers to a condition in which a system, when slightly displaced from its equilibrium position, experiences restoring forces or torques that return it to that position. In the context of dipoles in electric fields, the configuration corresponding to the minimum potential energy is what characterizes stable equilibrium.

Uniform Electric Field

A uniform electric field is one where the electric field vector has the same magnitude and direction at every point in space. This concept simplifies the analysis of forces and torques acting on charged particles and dipoles, and it is vital for solving many problems in electromagnetism.

Electric Dipole

An electric dipole consists of two equal and opposite charges separated by a finite distance, creating a dipole moment. This concept is essential in understanding how charge distributions interact with electric fields and is fundamental in classical electrodynamics.

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