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_p=0` and `mu_f!=0`
B. `mu_d=!=0` and `mu_p=0`
C. `mu_d!=0` and `mu_f!=0`
D. `mu_d=0` and `mu_p!=0`

Explanation

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. Different materials exhibit different behaviors in the presence of a magnetic field.

### Step 2: Analyze Diamagnetic Materials
Diamagnetic materials have a very weak and negative susceptibility to magnetic fields. When exposed to a magnetic field, they develop a magnetic moment in the opposite direction to the applied field. However, this induced magnetic moment is very weak and can be considered as zero in practical terms.

**Conclusion for Diamagnetic Material:**
\[ \mu_d = 0 \]

### Step 3: Analyze Paramagnetic Materials
Paramagnetic materials have unpaired electrons that contribute to a net magnetic moment. When placed in a magnetic field, these materials align their magnetic dipoles with the field, resulting in a non-zero magnetic dipole moment.

**Conclusion for Paramagnetic Material:**
\[ \mu_p \neq 0 \]

### Step 4: Analyze Ferromagnetic Materials
Ferromagnetic materials have a strong magnetic moment due to the alignment of magnetic dipoles even in the absence of an external magnetic field. They can retain their magnetization after the external field is removed.

**Conclusion for Ferromagnetic Material:**
\[ \mu_f \neq 0 \]

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

### Final Conclusion
The correct relationships among the magnetic dipole moments of the three types of materials can be summarized as:
\[ \mu_d = 0, \quad \mu_p \neq 0, \quad \mu_f \neq 0 \]

Thus, the correct option is that the magnetic dipole moment of diamagnetic materials is zero, while that of paramagnetic and ferromagnetic materials is non-zero.

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