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Physics Question on Magnetism and matter

If MzM_z = magnetization of a paramagnetic sample, BB = external magnetic field, TT = absolute temperature, CC = curie constant then according to Curie�s law in magnetism, the correct relation is

A

Mz=TCBM_z = \frac{T}{CB}

B

Mz=CBTM_z = \frac{CB}{T}

C

C=MzTC = \frac{M_z}{T}

D

C=T2MzC = \frac{T^2}{M_z}

Answer

Mz=CBTM_z = \frac{CB}{T}

Explanation

Solution

Here,
M2=M_{2}= magnetization of a paramagnetic sample
B=B= external magnetic field
T=T = absolute temperature
C=C= Curie constant
Curie's law in magnetism states that in paramagnetic material, the material's magnetization is directly proportional to the applied field, but when temperature increases the relation is reversed, i.e. the magnetization becomes inversely proportional to the temperature. Mathematically, it is written as
M2=C×BT⇒C=M2⋅TBM_{2}=\frac{C \times B}{T} \Rightarrow C=\frac{M_{2} \cdot T}{B}