A molecule of a substance has a permanent electric dipole moment of magnitude
. A mole of this substance is polarised (at low temperature) by applying a strong electrostatic field of magnitude
. The direction of the field is suddenly changed from an angle of
to
. Estimate the heat released from the substance in aligning its dipoles along the new direction of the field.
Text Solution
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Given, dipole moment of each molecule
and number of molecules in 1 mole of the substance
.
Therefore, total dipole moment of all molecules,

Initial potential energy,

Final potential energy (when
),
[finally
and
are aligned in the same direction]

Change in potential energy
So, there is a loss in potential energy. This must be the energy released by the substances in the form of heat in aligning its dipole.
Heat energy 
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