The formula to calculate paramagnetic moment of a substance is 

Options

A. `mu_(S)=sqrt(4S(S+2))B.M`
B. `mu_(S)=sqrt(n(n+2))B.M`
C. `mu_(S)=sqrt(n(n+4))B.M.`
D. `mu_(S)=sqrt(L(L+2))B.M`

Answer

To calculate the paramagnetic moment of a substance, we can follow these steps:

### Step 1: Identify the number of unpaired electrons (n)
- The first step in calculating the paramagnetic moment is to determine the number of unpaired electrons in the substance. This can be done by examining the electron configuration of the element or compound in question.

### Step 2: Use the formula for paramagnetic moment
- The formula for calculating the paramagnetic moment (μs) is given by:
\[ \mu_s = \sqrt{n(n + 2)} \cdot \mu_B \]
where:
- \( \mu_s \) is the paramagnetic moment,
- \( n \) is the number of unpaired electrons,
- \( \mu_B \) is the Bohr magneton.

### Step 3: Calculate the paramagnetic moment
- Substitute the value of \( n \) (the number of unpaired electrons) into the formula:
\[ \mu_s = \sqrt{n(n + 2)} \cdot \mu_B \]
- Perform the calculations to find the value of \( \mu_s \).

### Step 4: Interpret the result
- The calculated value of \( \mu_s \) will give you the paramagnetic moment of the substance, which indicates its magnetic properties.

### Summary
The formula to calculate the paramagnetic moment of a substance is:
\[ \mu_s = \sqrt{n(n + 2)} \cdot \mu_B \]