If the magnetic dipole of moment of an atom of diamagnetic material, paramagnetic material and ferromagnetic material are donated by `mu_d, mu_p` and `mu_f` respectively, then:

Options

A. `mu_(d)!=0and mu_(f)!=0`
B. `mu_(p)=0and mu_(f)!=0`
C. `mu_(d)=0 and mu_(f)!=0`
D. `mu_(d)!=0 and mu_(p)=0`

Answer

To solve the question regarding the magnetic dipole moments of diamagnetic, paramagnetic, and ferromagnetic materials, we can follow these steps:

### Step 1: Understand the Magnetic Dipole Moment
The magnetic dipole moment (\( \mu \)) is a vector quantity that represents the magnetic strength and orientation of a magnet or current loop. It is defined as:
\[ \mu = Q \cdot D \]
where \( Q \) is the charge and \( D \) is the distance between the charges.

### Step 2: Analyze Diamagnetic Materials
Diamagnetic materials are characterized by their lack of permanent magnetic dipole moments. When placed in an external magnetic field, they develop a very weak and negative magnetic moment, which is effectively zero.
\[ \mu_d = 0 \]

### Step 3: Analyze Paramagnetic Materials
Paramagnetic materials have unpaired electrons, which give rise to a net magnetic dipole moment. Thus, the magnetic dipole moment for paramagnetic materials is non-zero.
\[ \mu_p \neq 0 \]

### Step 4: Analyze Ferromagnetic Materials
Ferromagnetic materials also have unpaired electrons, and they exhibit a strong magnetic dipole moment. They can retain their magnetization even after the external magnetic field is removed. Therefore, the magnetic dipole moment for ferromagnetic materials is also non-zero.
\[ \mu_f \neq 0 \]

### Step 5: Summarize the Results
From the analysis:
- For diamagnetic materials: \( \mu_d = 0 \)
- For paramagnetic materials: \( \mu_p \neq 0 \)
- For ferromagnetic materials: \( \mu_f \neq 0 \)

### Step 6: Choose the Correct Option
Based on the above deductions, we can conclude that the correct relationship among the magnetic dipole moments is:
- \( \mu_d = 0 \)
- \( \mu_p \neq 0 \)
- \( \mu_f \neq 0 \)

Thus, the correct option would be the one that states \( \mu_d = 0 \), \( \mu_p \neq 0 \), and \( \mu_f \neq 0 \).