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The bound charge density and free charge density are 12 and 6 units respectively. Calculate the susceptibility.

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The bound charge density and free charge density are 12 and 6 units respectively. Calculate the susceptibility.

(a) 1

(b) 0

(c) 2

(d) 72

This question was addressed to me in an international level competition.

This intriguing question originated from Electrostatic Properties topic in section Electrostatic Fields of Electromagnetic Theory

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Right choice is (c) 2

The explanation: The electric susceptibility is given by, χe = Bound free density/Free charge density. χe = 12/6 = 2. It has no unit.

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