Question

Three are two dipoles in space with dipole moment $\overrightarrow{P_1}=\hat{i}+2\hat{j}+\hat{k}$ $and$ $\overrightarrow{P_2}=2\hat{i}+3\hat{j}+\hat{k}$. What is the net dipole moment of the arrangement?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Since dipole moment is a vector quantity, to find the net dipole moment of the arrangement are can add these using vector algebra.
Given $\overrightarrow{P_1}=\hat{i}+2\hat{j}+\hat{k}$ $and$ $\overrightarrow{P_2}=2\hat{i}+-3\hat{j}+\hat{k}$
$Sonet$ $\overrightarrow{p}=\overrightarrow{P_1}+\overrightarrow{P_2}=(\hat{i}+2\hat{j}+\hat{k})+(2\hat{i}-3\hat{j}+\hat{k})$
$=3\hat{i}-j+2\hat{k}$