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Chapter 23: Problem 7

The dipole moment of a polar substance is given by the formula, where q is the charge at one end and \(r\) is the distance between the opposite charges (a) \(\mu=q+r\) (b) \(\mu=q-r\) (c) \(\mu=q \times r\) (d) \(\mu=q \div r\)

Short Answer

Expert verified
The correct formula for the dipole moment of a polar substance is \(\mu = q \times r\), hence the answer to the exercise is (c)

Step by step solution

01

Evaluate the first option

The first option suggests that the dipole moment, μ, is given as \(q + r\). This is not correct because the dipole moment is the product of the charge and the distance between the charges, not the sum.
02

Evaluate the second option

The second option suggests that the dipole moment, μ, is given as \(q - r\). This is also not correct because the dipole moment is defined as the product of the charge and the distance between the charges, not the difference.
03

Evaluate the third option

The third option suggests that the dipole moment, μ, is given as \(q \times r\). This is indeed the correct formula for the dipole moment, which is defined as the product of the charge and the distance between the charges.
04

Evaluate the fourth option

For completeness, evaluate the fourth option as well. The fourth option suggests that the dipole moment, μ, is given as \(q \div r\). This is incorrect because the dipole moment is defined as the product of the charge and the distance, not the division of the charge by the distance.

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