' ₁ ^ , ^ ₂ ^ and ' ₃ ^ are susceptibilities of a paramagnetic material at temperatures ' T ₁ ^ K , ' T ₂ ^ K and ' T ₃ ^ K respectively, then

Step-by-step solution

For a paramagnetic material, the magnetic susceptibility = C T follows Curie's Law, where C is the Curie constant. The ratio ₁ ₂ = C / T₁ C / T₂ = T₂ T₁ , so ₁ : ₂ = T₂ : T₁ . Similarly, ₂ ₃ = T₃ T₂ , giving ₂ : ₃ = T₃ : T₂ . These relationships correspond to option C .