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If M2 = mag...

Question

If $M_{2}$ = magnetization of a paramagnetic sample, B = external magnetic field, T = absolute temperature, C = curie constant then according to Curie's law in magnetism, the correct relation is

A

M_{z} = \frac{T}{C B}

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B

M_{z} = \frac{C B}{T}

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C

C = \frac{M_{z}}{T}

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D

C = \frac{T^{2}}{M_{z} B}

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Solution

The correct option is B $M_{z} = \frac{C B}{T}$
According to Curie's law:-

$X \propto \frac{1}{T}$ , where $X$ =magnetic susceptibility and $T =$ temperature

$⟹ X = \frac{C}{T}$ , where $C$ =Curie's constant

Magnetization, $M_{z} = X B$

$⟹ M_{z} = \frac{C B}{T}$

Hence, answer is option-(B).

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