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A paramagnetic substance has a magnetic moment of 2.2\mu _{B} at a magnetic field of 0.5 T. What will be its magnetic moment at a magnetic field of 1.5 T?

Option: 1

0.7 \mu_B \\


Option: 2

1.1 \mu_B \\


Option: 3

3.3 \mu_B \\


Option: 4

6.6 \mu_B


Answers (1)

best_answer

The magnetic moment of a paramagnetic substance is given by  \mu=C \frac{H}{T}  where C is the Curie constant, H is the applied magnetic field, and T is the temperature. Since the temperature is constant, we can assume C to be constant. Using this formula, we can find the magnetic moment at a different magnetic field: \mu^{\prime}=C \frac{3 H}{T}=3 \mu

Therefore, the magnetic moment at 1.5 T will be 3 times the magnetic moment at 0.5 T, which is 6.6 \mu_B.

The correct answer is (d) 6.6 \mu_B

 

Posted by

himanshu.meshram

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