Question

Intensity of magnetisation is 4 (unit) at temperature 6K and B = 0.4 T what is the intensity of magnetisation at temperature 24k in B=0.3T​

Answer 1

It has given that intensity of magnetisation, M = 4 unit at temperature 6K and magnetic field B = 0.4 T

we have to find the intensity of magnetisation at temperature 24K in B = 0.3 T

solution : using formula,

$\quad M=\frac{CB_{ext}}{T}$

where C is Curie constant

here it is clear that M ∝ B/T

so, $\frac{M_1}{M_2}=\frac{B_1}{B_2}\frac{T_2}{T_1}$

⇒4/M₂ = (0.4 T/0.3 T) × (24K/6K)

⇒4/M₂ = 4/3 × 4

⇒M₂ = 3/4 = 0.75 unit

Therefore intensity of magnetisation is 0.75 unit at 24K in B = 0.3 T