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If the magnetic dipole of moment of an a...

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:

A

`mu_(p)=0 and mu_(f) ne 0`

B

`mu_(d)ne0 and mu_(p)=0`

C

`mu_(d) ne 0 and mu_(f) ne 0`

D

`mu_(d)=0 and mu_(p) ne 0`

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The correct Answer is:
To solve the problem regarding the magnetic dipole moments of different types of materials, we will analyze the magnetic properties of diamagnetic, paramagnetic, and ferromagnetic materials step by step. ### Step-by-Step Solution: 1. **Understanding Diamagnetic Materials:** - Diamagnetic materials have no unpaired electrons. When placed in a magnetic field, the induced magnetic moment is in the opposite direction to the applied field, resulting in a net magnetic moment of zero. - Therefore, the magnetic dipole moment for diamagnetic materials is: \[ \mu_d = 0 \] 2. **Understanding Paramagnetic Materials:** - Paramagnetic materials have unpaired electrons, which means they possess a net magnetic moment. When placed in a magnetic field, these materials align their magnetic moments with the field, resulting in a non-zero magnetic dipole moment. - Thus, the magnetic dipole moment for paramagnetic materials is: \[ \mu_p \neq 0 \] 3. **Understanding Ferromagnetic Materials:** - Ferromagnetic materials also have unpaired electrons, and they exhibit a strong magnetic moment due to the alignment of magnetic moments of neighboring atoms even in the absence of an external magnetic field. This results in a significant net magnetic dipole moment. - Therefore, the magnetic dipole moment for ferromagnetic materials is: \[ \mu_f \neq 0 \] 4. **Comparing the Magnetic Dipole Moments:** - From the above analysis, we can summarize the relationships: - \(\mu_d = 0\) - \(\mu_p \neq 0\) - \(\mu_f \neq 0\) 5. **Conclusion:** - The correct relationship among the magnetic dipole moments of diamagnetic, paramagnetic, and ferromagnetic materials is: \[ \mu_d < \mu_p, \mu_f \] - Therefore, the answer to the question is that the magnetic dipole moment of diamagnetic material is zero, while those of paramagnetic and ferromagnetic materials are non-zero. ### Final Answer: \[ \mu_d = 0, \quad \mu_p \neq 0, \quad \mu_f \neq 0 \]

To solve the problem regarding the magnetic dipole moments of different types of materials, we will analyze the magnetic properties of diamagnetic, paramagnetic, and ferromagnetic materials step by step. ### Step-by-Step Solution: 1. **Understanding Diamagnetic Materials:** - Diamagnetic materials have no unpaired electrons. When placed in a magnetic field, the induced magnetic moment is in the opposite direction to the applied field, resulting in a net magnetic moment of zero. - Therefore, the magnetic dipole moment for diamagnetic materials is: \[ ...
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